Question 5 of 10
Two hockey pucks, each with a mass of 0.15 kg, slide across the ice and
collide. Before the collision, puck 1 is moving 14 m/s to the west and puck 2
is moving 10 m/s to the east. After the collision, puck 1 is moving at 10 m/s
to the east. What is the velocity of puck 2?
A. 14 m/s east
B. 10 m/s west
C. 10 m/s east
D. 14 m/s west

Answers

Answer 1

Answer: D. 14 m/s west

Explanation:

I just did it on A p e x


Related Questions

A coin rests on a record 0.15 m from its center. The record turns on a turntable that rotates at variable speed. The coefficient of static friction between the coin and the record is 0.30.

Required:
What is the maximum coin speed at which it does not slip?

Answers

Answer:

0.66m/s

Explanation:

We are expected to solve for the velocity with no slip condition

we know that the expression that relate coefficient of friction and velocity is given as

μs = v^2/rg

Given

coefficient of friction μs = 0.3

radius r= 0.15

assume g=9.81m/s^2

substituting into the expression we have

0.3= v^2/0.15*9.81

v^2=0.3*0.15*9.81

v^2=0.44145

v=√0.44145

v=0.66

therefore the velocity is 0.66m/s

How does the Doppler effect explain why a siren's pitch increases as it approaches you?
A. The siren moves away from sound waves it has already produced, increasing their wavelength.
B. The siren moves closer to sound waves it has already produced) decreasing their wavelength
C. The siren moves away from sound waves it has already produced decreasing their wavelength,
D. The siren moves closer to sound waves it has already produced, increasing their wavelength​

Answers

Answer:a

Explanation:I just took the quiz and got it right lol

The Doppler effect explains why a siren's pitch increases as it approaches you as it infers that the siren moves away from sound waves it has already produced, increasing its wavelength. This is further explained below.

What is Doppler effect?

Generally, The Doppler effect is simply the apparent variation between the frequency via which waves leave an origin and how they reach an observer.

In conclusion,  increasing its wavelength is the wave property that causes the effect.

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HELP! An electron is accelerated from 0 m/s to 8 x 10^7 m/s by a uniform electric field. What is the potential difference (voltage) between the plates that make the field?

Answers

The potential difference (voltage) between the plates is approximately 1.45 kV.

The kinetic energy of an electron can be related to the potential difference between the plates of an electric field using the equation:

KE = qV,

where KE is the kinetic energy of the electron, q is its charge, and V is the potential difference between the plates.

We know that the electron is accelerated from rest to a final velocity of 8 x 10^7 m/s, so its change in kinetic energy is given by:

ΔKE = 1/2 mv^2 - 1/2 m(0)^2 = 1/2 mv^2

where m is the mass of the electron.

The potential difference between the plates can be found by rearranging the equation to solve for V:

V = ΔKE / q

Substituting the values we have:

V = (1/2) mv^2 / q

The mass of an electron is approximately 9.11 x 10^-31 kg, and its charge is -1.6 x 10^-19 C. Substituting these values and the final velocity of 8 x 10^7 m/s, we get:

V = (1/2) (9.11 x 10^-31 kg) (8 x 10^7 m/s)^2 / (-1.6 x 10^-19 C)

V = -1.45 kV

Therefore, the potential difference (voltage) between the plates is approximately 1.45 kV.

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PLEASE NEED HELP ASAP

PLEASE NEED HELP ASAP

Answers

Answer:

My youngins heartless, so they ain't playin' no games

We really want 'em dead, he got hit up close range

He fuc__ked up in the head, he wanna see some more brains

On that corner, I couldn't stay up out that do_0pe game

My cousin got indicted dealin' coc__aine

She an Insta>:gram addict, she want more fame

I used to starve, now I'm blowing up like pro__pane

Told my inner self, "I promise you I won't change"

Explanation:

The 10/90 principle can help you take control of your situation in taking responsibility of what you can change rather than in being victim of what you cannot change. Give an example of a situation that can change for you in applying this principle.

Answers

The 10/90 principle can be a powerful tool for taking control of your situation and improving your life. By taking responsibility for what you can change and focusing on your reaction to the situation, you can make positive changes in your life and become the master of your own destiny.

The 10/90 principle refers to the idea that life is made up of 10% of what happens to you and 90% of how you respond to it. In other words, you may not be able to control what happens to you, but you can control your reaction to it. By taking responsibility for what you can change rather than being a victim of what you cannot change, you can take control of your situation and improve your life.One example of a situation where the 10/90 principle could be applied is losing a job. Losing a job can be a devastating experience, and it can be easy to feel like a victim in this situation. However, by applying the 10/90 principle, you can take control of your situation and make positive changes in your life.The first step in applying the 10/90 principle in this situation would be to take responsibility for what you can change. This could mean updating your resume, networking with others in your field, and applying for new jobs. By taking action and doing what you can to find a new job, you are taking control of your situation and improving your chances of finding a new job.
The second step would be to focus on your reaction to the situation. Instead of dwelling on the negative aspects of losing your job, try to focus on the positive aspects. This could mean using the extra time to pursue a new hobby or spend more time with family and friends. By focusing on the positive aspects of the situation, you are taking control of your reaction and improving your overall well-being.
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Water flows at a speed of 13 m/s through a pipe that has a diameter of 1.2 m. What is the
diameter of the smaller end of the pipe that the water comes out with a speed of 30 m/s?

Answers

The diameter of the smaller end of the pipe is approximately 0.78 meters.

To determine the diameter of the smaller end of the pipe, we can use the principle of conservation of mass. According to this principle, the mass flow rate of water should remain constant throughout the pipe.

The mass flow rate is given by the equation:
Mass flow rate = density of water * cross-sectional area * velocity

Since the density of the water remains constant, we can write:
Cross-sectional area1 * velocity1 = Cross-sectional area2 * velocity2

Given that the velocity1 is 13 m/s, the diameter1 is 1.2 m, and the velocity2 is 30 m/s, we can solve for the diameter2 using the equation:
(pi * (diameter1/2)^2) * velocity1 = (pi * (diameter2/2)^2) * velocity2

Simplifying the equation:
(1.2/2)^2 * 13 = (diameter2/2)^2 * 30

Calculating the equation:
(0.6)^2 * 13 = (diameter2/2)^2 * 30

0.36 * 13 = (diameter2/2)^2 * 30

4.68 = (diameter2/2)^2 * 30

Dividing both sides by 30:
0.156 = (diameter2/2)^2

Taking the square root of both sides:
0.39 = diameter2/2

Multiplying both sides by 2:
0.78 = diameter2

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What does the term theory mean in science

Answers

i believe it is Not yet proven

Answer:

It is like a hypothesis. It is an idea of something.

Explanation:

A theory is a set of accepted beliefs or organized principles that explain and guide analysis and one of the ways that theory is defined is that it is different from practice, when certain principles are tested. ... This word is a noun and comes from the Greek theoria, which means "contemplation or speculation."

PLEASE HELPPP!!!! i really need help with this report if anyone can!!!!

The U.S. Army is planning to drop supplies from a plane at a refugee camp. The supplies are divided into 700-kilogram parcels, and the parachutes have an area of 100 square meters. The only problem is that the parcels cannot hit the ground at a velocity of more than 5 meters per second without damaging the contents. Are these parachutes suitable for this task?
For the purposes of this exercise, assume that the for the drag coefficient of the parachute is 1.5 and that the air density is 1.22 kilograms per cubic meter. Write a report detailing why these parachutes are or are not suitable and determining the minimum size parachute that can be used in this situation.

Answers

Answer:

search it up

Explanation:

The U.S. Army is planning to drop 700-kilogram parcels of supplies to a refugee camp using parachutes with an area of 100 square meters. The objective is to prevent the parcels from hitting the ground at a velocity of more than 5 meters per second to avoid damage to the contents. To determine the suitability of these parachutes, we need to consider the drag coefficient and the air density.

Using the formula for air resistance, we can calculate the force acting on the parachute:

Force = 0.5 x Drag Coefficient x Air Density x Velocity^2 x Area

Assuming that the terminal velocity of the parcels is 5 meters per second, we can calculate the force acting on the parachute as follows:

Force = 0.5 x 1.5 x 1.22 x 5^2 x 100
= 1822.5 N

The weight of the parcels is 700 kg x 9.8 m/s^2 = 6860 N. Therefore, the force acting on the parachute is much less than the weight of the parcels, indicating that the parachutes are suitable for this task.

To determine the minimum size parachute that can be used in this situation, we need to calculate the maximum weight that can be supported by a parachute with an area of 100 square meters. This is known as the payload capacity of the parachute and can be calculated as follows:

Payload Capacity = Area x Drag Coefficient x Air Density x Velocity^2 / 2 x 9.8

Assuming that the maximum weight of the parcels that can be dropped is 700 kg, we can solve for the minimum size parachute as follows:

100 x 1.5 x 1.22 x 5^2 / (2 x 9.8) = 240.9 kg

Therefore, the minimum size parachute required for dropping 700-kilogram parcels at a velocity of less than 5 meters per second is approximately 241 square meters. In conclusion, the 100 square meter parachutes are suitable for this task, and a larger parachute would be required if the weight of the parcels increased.

______ Is the degree of exactness of a measurement; _____ Describes how well the results of measurement agree with the real value

A: accuracy, precision
B: Percision, accuracy
C: accuracy, the line of best fit
D: Percision, the line of best fit

Answers

Answer: is B. Precision, accuracy

Explanation: Precision is the degree of exactness of a measurement; Accuracy describes how well the results of a measurement agree with the real value.

Brainiest Please

In the context of measurements, accuracy and precision are two different concepts that describe different aspects of the quality or reliability of the results obtained. The correct answer is A

Accuracy refers to how close the measured value is to the true or accepted value. It is a measure of how well the measurement reflects the actual quantity being measured. If a measurement is accurate, it means that it is on target and has a minimal deviation from the true value.

Precision, on the other hand, refers to the degree of exactness or consistency in the measurements. It measures the level of repeatability and reproducibility of the results. A precise measurement has very little variation or scatter between repeated measurements of the same quantity. Precision does not necessarily guarantee accuracy.

To summarize:

Accuracy relates to the closeness of a measurement to the true or accepted value.

Precision relates to the consistency and reproducibility of the results obtained.

In the given options, the correct answer is A: accuracy, precision. Accuracy describes how well the results of measurement agree with the real value, while precision is the degree of exactness of a measurement.

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why is it important to us the The Good Citizenship Value of Freedom?

Answers

One of the importance of freedom to us the good citizens is that it enables us to pursue our different happiness while ensuring that our rights are protected.

What is freedom?

Freedom is the power or right to act, speak, or think as one wants without hindrance or restraint, and the absence of a despotic government.

The importance of freedom to good citizens can not be over emphasized, because it is one of the fundamentals of human right. The following are some of the importance of freedom to good citizens.

Freedom allows good citizens the opportunity to pursue happiness while ensuring their rights are protected at all times; this includes things like;

religious freedomfreedom of speechright associationvoting right, etc

There are numerous advantage of freedom to good citizens which are not enjoyed by the bad citizens because when a bad citizen is put behind bars, such a citizen is limited. The person won't enjoy the freedom of free moment like the good citizens.

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Three squares of sides 10.0 cm, 20.0 cm, and 30.0 cm are placed next to
one another (in contact) as shown. What is the position of the center of
mass of this system? Assume the squares are made of the same uniform
material.

Answers

The position of the center of mass of the system is 13.0 cm from the left edge of square A.

How do you determine a system's center of mass?

The center of mass can be calculated by multiplying the masses you're trying to find the center of mass between by their positions. Then you add them all up and divide the total by the sum of the individual masses.

We use the formula for the center of mass of a system of particles,

\(x_c_m = (m_Ax_A + m_Bx_B + m_C*x_C) / (m_A + m_B + m_C)\)

\(m_A\) = mass of square A

\(m_B\) = mass of square B

\(m_C\) = mass of square C

\(x_A\) = distance of the center of mass of square A

\(x_B\) = distance of the center of mass of square B

\(x_C\) = distance of the center of mass of square C

Substitute values,

\(x_c_m = (100.0 cm^2 * 5.0 cm + 400.0 cm^2 * 10.0 cm + 900.0 cm^2 * 15.0 cm) / (100.0 cm^2 + 400.0 cm^2 + 900.0 cm^2)\)

\(x_c_m = 13.0 cm\)

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Three squares of sides 10.0 cm, 20.0 cm, and 30.0 cm are placed next toone another (in contact) as shown.

how many males are color blind one in 50 1 and 10 one hundred one and 12​

Answers

One in twelve males have color blindness whereas One in two-hundred females have color blindness. Thus, Option D is correct.

Color blindness is the ability to distinguish different colors. It is hard to differentiate the colors between the same color family. A person with color blindness can not able to see red and green, and can able to see grey, black, and white. It is often inherited.

A person with color blindness can not able to differentiate the colors between red and green. There are three types of color blindness they are Deuteranomaly (difficulty with red-green color blindness and it makes green look redder), Protanomaly(red look greener), Protanopia, and deuteranopia (difficulty in identifying red and green). It is cured by using proper contact lenses.

Thus, One in twelve males has color blindness. Hence, the ideal solution is option D.

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A group of students were playing basketball together during recess. The temperature outside was 30.5 oC (87 oF) and the sun was out. The students ran, shot baskets, and dribbled the ball for 30 minutes. When they finished their game some of the students made the following comments:

Answers

Student 1 is feeling hot and sweaty because the body is trying to regulate its internal temperature through the process of thermoregulation. When we exercise or engage in physical activity, our muscles produce heat

Student 2's red cheeks are a result of vasodilation. When we exercise, our body needs more oxygen and nutrients to fuel the muscles. Student 3 is breathing hard because the body needs more oxygen to fuel the muscles during physical activity.

What happens when we exercise?

Our muscles need more oxygen to make energy (in the form of ATP) while we workout.

When the respiratory rate picks up to fulfill this need, more oxygen can enter the body and more carbon dioxide can be exhaled.

Student 3 is breathing more forcefully than usual in this situation because of the high temperature and physical activity.

The respiratory system is the organ system engaged in this process.

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# complete question:

A group of students were playing basketball together during recess. The temperature outside was 30.5 oC (87 oF) and the sun was out. The students ran, shot baskets, and dribbled the ball for 30 minutes. When they finished their game some of the students made the following comments:

Student 1: Wow! I am so hot and sweaty! I need some water to cool down.

Student 2: My cheeks are really red.

Student 3: I am breathing so hard, I can barely catch my breath!

Explain what is happening to the students and how their bodies are trying to maintain homeostasis. Be sure to include any of the organ systems involved with each student.

How can you determine the number of protons or electrons in an atom?

Answers

Answer:

number of protons = atomic number

number of electrons = atomic number

Number of protons = atomic matter
Number of electrons = atomic matter

1. A rock is falling downwards at 12.0 m/s. After 2.0 seconds it is falling at downwards at
31.6 m/s. What was its acceleration?

Answers

Answer:

a = 9.8 m/s²

Explanation:

Here, we will use the first equation of motion to determine the acceleration of the falling rock. The first equation of motion is written as follows:

Vf = Vi + at

where,

Vf = Final Velocity of the falling rock = 31.6 m/s

Vi = Initial Velocity of the falling rock = 12 m/s

a = acceleration = ?

t = time interval = 2 s

Therefore,

31.6 m/s = 12 m/s + a(2 s)

a = (31.6 m/s - 12 m/s)/(2 s)

a = 9.8 m/s²

The acceleration will be "9.8 m/s²".

Given:

Final velocity, \(V_f = 31.6 \ m/s\)Initial velocity, \(V_i = 12 \ m/s\)Time, \(t = 2 \ seconds\)

We know the relation,

→ \(V_f = V_i +at\)

By substituting the values,

 \(31.6 = 12+a(2)\)

     \(a = \frac{31.6-12}{2}\)

        \(= \frac{19.6}{2}\)

        \(= 9.8 \ m/s^2\)

Thus the answer above is correct.

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what is hookies law of elasticity

Answers

Hooke's law of elasticity is a principle in physics that states that the force required to extend or compress a spring by some distance is proportional to that distance. It is named after the English physicist Robert Hooke, who first stated the law in 1678. Hooke's law is often written as F = -kx, where F is the force applied to the spring, x is the distance it is stretched or compressed, and k is the spring constant, a measure of the stiffness of the spring.

the figure shows the "before" and "after" states in an experiment where a block is sliding across a frictionless floor when an internal explosion separates it into three pieces with masses m1 = 5 kg and m2 = 12 kg and m3 = 8 kg. the block is initially moving leftward at 2 m/s. Two of the final velocity are v2 =400m/s and v3 = 9 m/s. By how much (j) does the explosion change the kenitic energy?

Answers

Change in kinetic energy after explosion is 32.9 x 10⁵J.

Mass of the first piece, m₁ = 5 kg

Mass of the second piece, m₂ = 12 kg

Mass of the third piece, m₃ = 8 kg

Velocity of the rock initially, v = 2 m/s

Velocity of the second piece, v₂ = 400 m/s

Velocity of the third piece, v₃ = 9 m/s

According to conservation of momentum,

mv = m₁v₁ + m₂v₂ + m₃v₃

Therefore velocity of the first piece,

v₁ = (mv - m₂v₂ - m₃v₃)/m₁

v₁ = [(25 x 2) - (12 x 400) - (8 x 9)]/5

v₁ = -964.4 m/s

Kinetic energy of the rock initially,

KE = 1/2 mv²

KE = 1/2 x 25 x 4

KE = 50 J

Kinetic energy after explosion,

KE' = 1/2(m₁v₁²+ m₂v₂²+ m₃v₃²)

KE' = 1/2[(5 x 93 x 10⁴) + (12 x 16 x 10⁴) + (8 x 81)]

KE' = 328.5 x 10⁴

Change in kinetic energy = KE' - KE = 32.9 x 10⁵J

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Answer: 3.26 * 10^3

Explanation:

A 200kg car is driving at 20m/s down the road when he sees a red light. He slows to a stop.

The car's initial momentum is ___kg m/s


The car's final momentum is ___kg m/s


The car's impulse is
___kg m/s

Answers

Answer:

Initial Momentum - 4000 kg*m/s

Final Momentum - 0 kg*m/s

Impulse: -4000 kg*m/s

Explanation:

The equation for momentum is P = mv

Initial Momentum

200kg * 20m/s = 4000 kg*m/s

Final Momentum

200kg * 0m/s = 0kg*m/s

Impulse = ΔP

Pfinal - Pintial = Impulse

0-4000 = -4000 kg*m/s

A linebacker with a mass of 94.53 kg is
running east with a speed of 6.62 m/s
to tackle a running back with a mass of
84.05 kg running south with a speed of
9.77 m/s. The linebacker collides with
the running back. What is the
combined speed of the linebacker and
running back after the collision?

Answers

The final velocity after the collision would be

When two objects collide, their momentum and energy are both conserved. To put it another way, the system's total energy and momentum are unaffected by the collision and are the same as they were before it. Elastic and inelastic collisions are the two categories of collisions that can occur. When the kinetic energy of a colliding object is not conserved but the momentum is, we get an inelastic collision.

A perfectly inelastic collision occurs when the colliding items remain stuck together and maintain the same velocity after the impact. The principle of conservation of momentum is used to calculate the after-collision velocity in a perfectly inelastic collision. It’s given by:

m₁v₁ + m₂v₂ = (m₁+m₂)v₃

(94.53×6.62) + (84.05×9.77) = (94.53 + 84.05) v₃

625.79 + 821.17 = 178.58 v₃

v₃ =  (625.79 + 821.17) ÷ 178.58

v₃ =  8.10 m/s

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Consider a double-paned window consisting of two panes of glass, each with a thickness of 0.500 cm and an area of 0.760 m2 , separated by a layer of air with a thickness of 1.65 cm . The temperature on one side of the window is 0.00 ∘C; the temperature on the other side is 23.0 ∘C. In addition, note that the thermal conductivity of glass is roughly 36 times greater than that of air. Approximate the heat transfer through this window by ignoring the glass. That is, calculate the heat flow per second through 1.65 cm of air with a temperature difference of 23.0 ∘C . (The exact result for the complete window is 24.4 J/s .)

Answers

The approximate heat transfer through 1.65 cm of air with a temperature difference of 23.0 °C is approximately 24.4 J/s.

To approximate the heat transfer through the air layer in the double-paned window, we can assume that the glass layers have a negligible impact on the heat flow. The heat transfer can be calculated using Fourier's Law of Heat Conduction, which states that the heat flow (Q) is proportional to the temperature difference (ΔT) and inversely proportional to the thickness (L) and thermal conductivity (k) of the material.

First, we need to calculate the effective thermal conductivity of the air layer due to its thickness and the thermal conductivity ratio between air and glass. Let's denote the thermal conductivity of air as k_air and the thermal conductivity of glass as k_glass. Since glass has a thermal conductivity roughly 36 times greater than air, we have k_glass = 36 * k_air.

Next, we calculate the effective thermal conductivity of the air layer as:

k_eff = (k_air * L_air) / (L_air + k_glass)

Substituting the given values, we have:

k_eff = (k_air * 0.0165 m) / (0.0165 m + 0.005 m) = 0.01309 * k_air

Now, we can calculate the heat flow per second through the air layer using the formula:

Q = (k_eff * A * ΔT) / L_air

Substituting the given values, we get:

Q = (0.01309 * k_air * 0.760 m^2 * 23.0 K) / 0.0165 m = 24.4 J/s

Therefore, the approximate heat transfer through 1.65 cm of air with a temperature difference of 23.0 °C is approximately 24.4 J/s.

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The input and output forces for four machines are shown in the table. Machine Forces Machine Input Force (N) Output Force (N) 1 5 50 2 10 50 3 25 50 4 50 50 Which machine would have the greatest mechanical advantage? Responses 1 1 2 2 3 3 4

Answers

Machine 1 has the greatest mechanical advantage among the given machines. To determine the machine with the greatest mechanical advantage, we need to calculate the mechanical advantage for each machine.

Machine 1: Mechanical Advantage = Output Force / Input Force = 50 N / 5 N = 10

Machine 2: Mechanical Advantage = Output Force / Input Force = 50 N / 10 N = 5

Machine 3: Mechanical Advantage = Output Force / Input Force = 50 N / 25 N = 2

Machine 4: Mechanical Advantage = Output Force / Input Force = 50 N / 50 N = 1

Comparing the mechanical advantages, we can see that Machine 1 has the highest mechanical advantage of 10. This means that Machine 1 can multiply the input force by 10 to produce the output force. It provides the greatest amplification of force among the four machines.

Machine 2 has a mechanical advantage of 5, Machine 3 has a mechanical advantage of 2, and Machine 4 has a mechanical advantage of 1. Therefore, Machine 1 has the greatest mechanical advantage among the given machines.

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A particle with mass
m = 3.80 kg
accelerates according to
a = (−3.40i + 1.70j) m/s2.
(a) What is the net force acting on the particle? (Express your answer in vector form.)

(b) What is the magnitude of this force?

Answers

The net force acting on the particle would be and the magnitude of the force would be -12.92i + 6.49j and the magnitude of the force would be 14.46 Newtons.

What is Newton's second law?

Newton's Second Law states that The resultant force acting on an object is proportional to the rate of change of momentum.

The net force on the particle = mass of the particle × acceleration

                                                =3.80*(−3.40i + 1.70j)

                                                = -12.92i + 6.49j

Thus, the magnitude of the net force on the particle would be 14.46 Newtons.

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VIII
Consider the following situations. Describe your personal feelings about each
situation, and discuss how you could apply the philosophy of individual worth to
each scenario below.
(Examples include: nationality, race, religion, gender, sexual orientation)
A young woman breast-feeds her 2-year-old child while sitting in the waiting room of
a clinic.
Discuss how you apply the philosophy of individual worth?

Answers

Given the scenario described above:

One should not be upset with the young woman for breastfeeding her child in the waiting room. The child's need to be fed must be prioritized so when applying the philosophy of individual worth, the breastfeeding mother can be helped where necessary and praised for her effort.

What is the Philosophy of Individual worth?

The philosophy of individual worth is of the opinion that everyone is worthy of some respect.

In that light, the breastfeeding mother should not be frowned at for breastfeeding her child in the waiting room. If there is a more appropriate area, she should be directed there respectfully.

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What is the term for the cumulative body of observations on which scientific explanations are based?


peer review
pseudoscience
logical reasoning
empirical evidence

Answers

Answer is pseudoscience

A cobalt-60 source with activity 2.60×10-4 Ci is embedded in a tumor that has
mas 0.20 kg. The source emits gamma photons with average energy 1.25 MeV.
Half the photons are absorbed in the tumor, and half escape.
i. What energy is delivered to the tumor per second? [4 marks]
ii. What absorbed dose, in rad, is delivered per second? [2 marks]
iii. What equivalent dose, in rem, is delivered per second if the RBE for
these gamma rays is 0.70? [2 marks]
Page 6 of 7
iv. What exposure time is required for an equivalent dose of 200 rem? [2
marks]
B. A laser with power output of 2.0 mW at a wavelength of 400 nm is projected
onto a Calcium metal. The binding energy is 2.31 eV.
i. How many electrons per second are ejected? [6 marks]
ii. What power is carried away by the electrons? [4 marks]
C. A hypodermic needle of diameter 1.19 mm and length 50 mm is used to
withdraw blood from a patient? How long would it take for 500 ml of blood to be
taken? Assume a blood viscosity of 0.0027 Pa.s and a pressure in the vein of
1,900 Pa. [10 marks]
D. A person with lymphoma receives a dose of 35 gray in the form of gamma
radiation during a course of radiotherapy. Most of this dose is absorbed in 18
grams of cancerous lymphatic tissue.
i. How much energy is absorbed by the cancerous tissue? [2 marks]
ii. If this treatment consists of five 15-minute sessions per week over the
course of 5 weeks and just one percent of the gamma photons in the
gamma ray beam are absorbed, what is the power of the gamma ray
beam? [4 marks]
iii. If the gamma ray beam consists of just 0.5 percent of the photons
emitted by the gamma source, each of which has an energy of 0.03
MeV, what is the activity, in Curies, of the gamma ray source? [4 marks]
E. A water heater that is connected across the terminals of a 15.0 V power supply
is able to heat 250 ml of water from room temperature of 25°C to boiling point
in 45.0 secs. What is the resistance of the heater? The density of water is 1,000
kg/m2 and the specific heat capacity of water is 4,200 J/kg/°C. [10 marks]

Answers

Answer:

A i. E = 9.62 × 10⁻⁷ J/s

ii. The absorbed dose is 4.81 × 10⁻⁶ Gy

iii. The equivalent dose is  3.37 × 10⁻⁴ rem/s

iv.  t = 593471.81 seconds

B. i. 4.025 × 10¹⁵/s

ii. 0.512 mW

C. 7218092.2 seconds

D. i. 6.3 × 10⁻¹ J

ii. 1.4 × 10⁻² W

iii. 1.57 × 10³ Curie

E. 0.129 Ω

Explanation:

The given parameters are;

Mass of tumor = 0.20 kg

Activity of Cobalt-60 = 2.60 × 10⁻⁴ Ci

Photon energy = 1.25 MeV

(i) The energy, E, delivered to the tumor is given by the relation;

\(E = \frac{1}{2}\left (Number \, of \, decay / seconds \right )\times \left (Energy \, of \, photon \right )\)

\(E = \frac{1}{2}\left (2.6\times 10^{-4}Ci )\times \left (\frac{3.70\times 10^{10}decays/s}{1 Ci} \right )\times 1.25\times 10^{6}eV\times \frac{1.6\times 10^{-19}J}{1eV}\)

E = 9.62 × 10⁻⁷ J/s

(ii) The equation for absorbed dose is given as follows;

Absorbed dose, D, in Grays Gy = (Energy Absorbed Joules J)/Mass kg

Therefore, absorbed dose = (9.62 × 10⁻⁷ J/s)/( kg) = 4.81 × 10⁻⁶ Gy

1 Gray = 100 rad

4.81 × 10⁻⁷ Gy = 100 × 4.81 × 10⁻⁶ = 4.81 × 10⁻⁴ rad/s

(iii) Equivalent dose, H, is  given by the relation;

H = D × Radiation factor, \(w_R\)

∴ H = 0.7 × 4.81 × 10⁻⁴ rad/s = 3.37 × 10⁻⁴ Sv = 3.37 × 10⁻⁴ rem/s

(iv) The exposure time required for an equivalent dose of 200 rem is given as follows;

\(\dot{H} = \dfrac{H}{t}\)

Therefore;

\(t= \dfrac{200}{{3.37 \times 10^{-4}} } = 593471.81 \, s\)

∴ t = 6.9 days

B. The number of electrons ejected is given by the relation;

\(N = \frac{P}{E} = \frac{P \times \lambda}{hc}\)

\(N = \dfrac{2.0 \times 10^{-3} \times 400 \times 10^{-9}}{6.626 \times 10^{-34} \times 3 \times 10^8} = 4.025 \times 10^{15}/s\)

(ii) The power carried by the electron

The energy carried away by the electrons is given by the relation;

\(KE_e = hv - \Phi\)

\(KE_e = \frac{6.626 \times 10^{-34} \times 3 \times 10^8}{400 \times 10^{-9}} - 2.31 \times \frac{1.6 \times 10 ^{-19} }{1}\)

\(KE_e = 4.9695 \times 10^{-19} - 3.696 \times 10 ^{-19} = 1.2735 \times 10^{-19} J\)

Power, P\(_e\), carried away by the electron = 4.025 × 10¹⁵ × 1.2735 × 10⁻¹⁹ = 0.512 mW

C. The given parameters are;

d = 1.19 mm, ∴ r = 1.19/2 = 0.595 × 10⁻³ m

l = 50 mm = 5 × 10⁻³ m

V = 500 ml = 5 × 10⁻⁴ m³

η = 0.0027 Pa

p = 1,900 Pa.

\(\dfrac{V}{t} = \dfrac{\pi }{8} \times \dfrac{P/l}{\eta } \times r^4\)

\(t = \dfrac{8\times \eta\times V\times l }{\pi \times P \times r^4}\)

\(t = \dfrac{8\times 0.0027 \times 5 \times 10^{-4} \times 5 \times 10^{-2} }{\pi \times 1900 \times (0.595 \times 10^{-4} )^4}\)

t = 7218092.2 seconds

D) i. Energy absorbed is given by the relation;

E = m×D

Where:

D = 35 Gray = 35 J/kg

m = 18 g = 18 × 10⁻³ kg

∴ E = 35 × 18 × 10⁻³ = 6.3 × 10⁻¹ J

ii. Total time for treatment = 15 × 5 = 75 minutes

Energy absorbed = 6.3 × 10⁻¹ × 100 = 63 J

Power = Energy(in Joules)/Time (in seconds)

∴ Power = 63/(75×60) = 1.4 × 10⁻² W

iii. Whereby the power is provided by 0.5% of the photons emitted by the source, we have;

\(P_{source}= \frac{P_{beam}}{0.005} =\frac{0.0014}{0.005} =0.28 \, W\)

1 MeV = 1.60218 × 10⁻¹³ J

0.03 MeV = 0.03 × 1.60218 × 10⁻¹³ J = 4.80654 × 10⁻¹⁵ J/photon

Therefore, the number of disintegration per second = 0.28 J/s ÷  4.80654 × 10⁻¹⁵ J/photon = 5.83 × 10¹³ disintegrations per second

1 Curie = 3.7 × 10¹⁰  disintegrations per second

Hence, 5.83 × 10¹³ disintegrations per second = (5.83 × 10¹³)/(3.7 × 10¹⁰) Curie

= 1.57 × 10³ Curie

E. The parameters given are;

Density of water = 1000 kg/m³

Volume of water = 250 ml = 0.00025 m³

Initial temperature, T₁, = 25°C

Final temperature, T₂, = 100°C

Change in temperature, ΔT = 100 - 25 = 75°

Specific heat capacity of the water = 4200 J/kg/°C

Mass of water = Density × Volume = 1000 × 0.00025 = 0.25 kg

∴ Heat supplied = 4200 × 0.25 × 75 = 78,750 J

Time to heat the water = 45.0 sec

Therefore, power = Energy/time = 78750/45 = 1750 W

The formula for electrical power = I²R =VI = V²/R

Therefore, where V = 15.0 V, we have;

15²/R = 1750

R = 15²/1750 = 0.129 Ω.

The resistance of the heater = 0.129 Ω.

A block is launched with initial speed 2.2 m/s up a 35° frictionless ramp
How far up the ramp does it slide?

Answers

When a block is launched with initial speed 2.2 m/s up a 35° frictionless ramp then ramp slides up to 0.43m.

What is work energy theorem?

The work-energy theorem explains that net work done by the forces on an object is equal to change in its kinetic energy.

We can also say that work done on a body is equal to the net change in its energy.

Given angle = 35°

initial speed = 2.2m/s

Applying work - energy theorem,

Wgravity = KE

-m *g *sin ∅ * S =1/2* (0- 2.2²)

-9.81*sin 35° *S= 1/2 *(0- 2.2² )

S= 0.43m

Ramp slides up to 0.43m.

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hi

How is the mass of a solid measured?
is it By estimating
or
With a beaker
or
With a ruler
or
With a scale?

need ansewer asap!!

Answers

Answer:

Scale

Explanation:

this is because mass of a solid is measured with a balance

The figure above shows Case 1 of an experiment, in which the following events occur.

At time t1
, block A slides to the right along a horizontal surface toward identical block B, which is at rest.
At time t2
, block A collides elastically with block B and block A comes to rest.
At time t3
, the right side of block B reaches an ideal, horizontal spring with negligible mass and spring constant k1
. The spring is initially at its relaxed (uncompressed) length and fixed to a wall.
At time t4
, the spring is compressed a maximum distance d1
and block B is instantaneously at rest.
Assume there is negligible friction between each block and the surface. For parts (a)-(d), consider the system consisting of block A, block B, and the spring.

(a) Indicate whether the linear momentum of the two-block–spring system is either constant or not constant during the time interval from t1
to immediately before t3
, and explain why.

The figure above shows Case 1 of an experiment, in which the following events occur.At time t1, block

Answers

Over the time period from t₁ to just before t₃, the two-block-spring system is linear momentum does not change because there are no external forces acting on the system to change its momentum.

Explain why the linear momentum of the two-block–spring system is either constant or not during the time period between t₁ and the time just before t₃?

The linear momentum of the two-block-spring system remains constant from t₁ until just before t₃.

Prior to the collision at time t₂, block A has a momentum to the right that is Pa = ma ×va, whereas block B has a momentum that is Pb = 0 because it is at rest. Because there is no external force acting on the system, its overall momentum is conserved.

All out Ptotal = Dad + Pb = mama × va

Expect there is immaterial erosion between each block and the surface. Take into consideration the spring, block A, and the system for parts (a) to (d).

Following the collision at time t₂, block B experiences a velocity of vb to the right and comes to a stop. Because the collision is elastic, all of the system's kinetic energy is conserved, but momentum is still conserved:

The two-block system is moving to the right at a constant velocity vb from time t₂ to just before time t₃, so the momentum of the system is constant. Ptotal = ma₀ plus mbvb plus mb ×vb

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When light is put off, a spark is produced across a
switch. Why?

Answers

Answer:

electricity...or Google.

You are when you switch off the light, you are literally disconnecting the circuit.

A parallel circuit has four branch currents: 120 mA, 380 mA, 250 mA, and 2.1 A. How much current is supplied by the source?

Answers

A parallel circuit is an electrical circuit with more than one current path and all circuit components are connected between the same two sets of electrically common points. The current supplied by the source in a parallel circuit is equal to the sum of all branch currents in the circuit.

The sum of the branch currents in a parallel circuit can be calculated by adding up the values of the individual branch currents. In this case, we have four branch currents: 120 mA, 380 mA, 250 mA, and 2.1 A. Thus, the sum of the branch currents is:120 mA + 380 mA + 250 mA + 2.1 A= 2.85 ATherefore, the current supplied by the source in this parallel circuit is 2.85 A. This is because, in a parallel circuit, the current from the source is split between the different branches of the circuit. Each branch will have a different current, but the sum of all the branch currents will always equal the current supplied by the source

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