The age of the sample can be determined using the first order equation of the nuclear decay. The age of the parent isotope here is 45 years.
What is half life ?Unstable radioactive nuclei undergo nuclear decay to produce more stable nuclei with more life time. The time required to decay half of the initial amount of a material is called its half life.
The half life of a sample is related with the decay constant k as follows:
k = 0.693/t1/2
Given that, t1/2 = 15 years
k = 0.693/15 = 0.0462 yr⁻¹
The first order equation of the decay process is written as:
k = 1/t ln w0/wt
where w0 is the initial amount and wt be the amount after time t.
then t = 1/k ln w0/wt
Given that, the sample was decayed to one eighth of the initial amount .
t = 1/k ln 8
= 1/0.0462 ln 8
= 45 years.
Therefore, option C is correct.
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if a scale shows that an individual has a mass of 68 kg, what is that individual's weight? (be as precise as possible.)
The individual's weight would be approximately 667.08 Newtons, assuming that the measurement of mass is accurate and the individual is at sea level.
Therefore weight is the force exerted on an object due to gravity. The weight of an object is equal to its mass multiplied by the acceleration due to gravity.
At the surface of the Earth, the acceleration due to gravity is approximately 9.81 meters per second squared. Thus, the weight of an object with a mass of 68 kg would be:
Weight = Mass x Acceleration due to gravity
Weight = 68 kg x 9.81 m/s^2
Weight = 667.08 Newtons
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What is the Eg, Ek, and Ediss of a skier starting at an elevation of 40m and ending at 0m elevation
Answer:
E_g = m 392 J, Ek = m 392
Explanation:
Mechanical energy is a very important concept since if the system does not have friction it remains constant
the potential energy of a system is
E_g = U = m g (y2 - i)
E_g = m 9.8 (40 -0)
E_g = m 392 J
The kinetic energy for this system assuming it started from rest
E_k = K = ½ m v2
how mechanical energy is conserved
E_g = E_k
Ek = m 392
hellllllllllllllllllp asap! answering on less then 15 mins would be great :/ i need someone with a great knowledge of the earth, layers, astronomy, and convection,and density
Convection differs from radiation in the sense that in radiation, matter is not involved. Option D.
What is heat transfer?The term heat transfer has to do with the movement of heat from one point another. Recall that heat transfer is one of the things that does occur in nature. There are three kinds of heat transfer that occur in nature and these are;
ConductionConvectionRadiationLet us recall that in the process of convection, there is the movement of heat from one point to the other via the actual movement of the particles of the substance. On the other hand, radiation occur when heat is transferred without an movement or contact between the objects between which the heat is transferred. Thus, when air masses are moving, it is a process of convection taking place.
Hence, the difference between conduction and radiation is that matter is involved in convection but not in radiation.
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we can be sure the particles in the rings of neptune are very small because
Spacecraft have observed and measured them. The assertion provides the greatest justification for our certainty that the particles in Neptune's rings are quite tiny. Here option D is the correct answer.
The rings of Neptune are made up of a variety of particles, including dust, pebbles, and boulders. However, we can be sure that the particles in the rings of Neptune are very small because they have been observed and measured by spacecraft.
During the Voyager 2 flyby of Neptune in 1989, the spacecraft captured detailed images of the rings and collected data on the size, composition, and distribution of the particles. The data showed that the particles in the rings of Neptune range in size from tiny dust particles to larger boulder-sized chunks.
In addition to the Voyager 2 data, more recent observations by the Hubble Space Telescope have provided further evidence that the particles in the rings of Neptune are small. Hubble's observations have revealed clumps and arcs in the rings, which suggest that the particles are small and prone to clumping together due to their mutual gravitational attraction.
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Complete question:
Which of the following statements best explains why we can be sure that the particles in the rings of Neptune are very small?
A) They are made of a low-density material
B) They do not produce significant gravitational effects
C) They are composed of ice and rock fragments
D) They have been observed and measured by spacecraft
Astronauts brought back 500 lb of rock samples from the moon. how many kilograms did they bring back? 1 kg = 2.20 lb
A. 227 kg
B. 498 kg
C. 500 kg
D. 1,100 kg
Answer:
1100 kg
Explanation:
500 lb x 2.20lb (1kg) =1100kg
If someone weighs 80n on Mars and comes back on earth will they weigh the same
Answer:
No
Explanation:
Your answer will be no because Mars has less gravity then Earth does but you would still have the same amount of mass therefor If someone goes to Mars and goes back to Earth they would not weigh the same as they did on earth.Hope it helps you!
The aorta in an average adult has a cross-sectional
area of2.0 cm2•
a. Calculate the flow rate (in grams per second) of
blood (p = 1.0 gl cm3) in the aorta if the flow speed
is 42 cmls.
b. Assume that the aorta branches to form a large
number of capillaries with a combined cross-sectional
area of 3.0 x 103 cm 2. What is the flow speed
in the capillaries?
a) The flow rate will be Q = 84 cm³ per second.
b) The flow speed in the capillaries will be 0.028 cm /s.
What is a flow rate?The flow rate is defined as the volume of the fluid passing across the cross-section of the pipe in a unit of time.
To calculate the flow rate of blood in the aorta, we can use the equation:
Flow rate = Area x Velocity x Density
Where the area is the cross-sectional area of the aorta, the velocity is the flow speed of the blood in the aorta, and the density is the density of blood (p = 1.0 g/cm³).
Substituting the values we know, we get:
Flow rate = 2.0 cm²x 42 cm/s x 1.0 g/cm³
Flow rate = 84 g/s
Therefore, the flow rate of blood in the aorta is 84 grams per second.
b. According to the principle of continuity, the flow rate of blood must remain constant as it moves from the aorta to the capillaries. Therefore, we can use the equation:
Flow rate = Area x Velocity x Density
To calculate the flow speed in the capillaries, given the combined cross-sectional area of the capillaries.
We know that the flow rate in the capillaries must be the same as the flow rate in the aorta, which we calculated in part a:
Flow rate = 84 g/s
The combined cross-sectional area of the capillaries is given as 3.0 x 10³ cm². Substituting these values in the equation, we get:
84 g/s = 3.0 x 10³cm² x Velocity x 1.0 g/cm³
Solving for the velocity, we get:
Velocity = 84 g/s / (3.0 x 10³ cm² x 1.0 g/cm³)
Velocity = 0.028 cm/s
Therefore, the flow speed in the capillaries is 0.028 cm/s.
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If, in the figure, you start from the Bakery, travel to the Cafe, and then to the Art Gallery in 1.50 hours. What is the average velocity?
The average velocity is 1 km/hr.
What is average velocity?Velocity is the speed of a body in a given direction.
Velocity can also defined as the displacement of body with time.
The average velocity will be be the ratio of the total displacement with time.
Average velocity = displacement/timeTaking the right direction as positive and the direction to the left as negative:
displacement of the body = (4.0 - 2.5) km
displacement of the body = 1.5 km
Average velocity = 1.5 km/ 1/5 hours
Average velocity = 1 km/hr
In conclusion, the average velocity is obtained from the displacement and time taken.
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Thorium ____ has 90 protons and 137 neutrons.
Answer:
Thorium 227 (also known as Radioactinium)
A very bright source of red light has much more energy than a dim source of blue light, but the red light has no effect in ejecting electrons from a certain photosensitive surface. Briefly explain why this is the case. Your answer should explain the physics of what is going on; an answer consisting just a name, law, or effect will not receive any points.
This is because the energy of the light is related to the frequency of the light, not the brightness.
What is frequency?Frequency is a measure of how often something happens over a given period of time. It is typically expressed as a number of occurrences per unit of time, such as cycles per second, hertz (Hz), or events per second. Frequency is an important concept in physics and engineering, as it is used to describe waves, signals, and vibrations. Frequency is also important for communication, as it indicates how often a signal is sent or received.
The higher the frequency, the more energy it has. Red light has a lower frequency than blue light, so even though the red light is brighter, it does not have as much energy as the dim blue light. This is why the red light has no effect on ejecting electrons from the photosensitive surface; the energy of the red light is not enough to overcome the binding energy of the electrons to the surface.
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if your weight is 600 Newton on the earth how far should you go from the centre of the earth so that it will be 300 Newton
Given :
Our weight is 600 Newton on the earth.
To Find :
How far should you go from the center of the earth so that it will be 300 Newton.
Solution :
Acceleration due to gravity at depth d is given by :
\(g' = g( 1 - \dfrac{d}{R_e})\)
At earth surface, mg = 600 N ...1)
At depth d, mg' = 300 N ...2)
Dividing 1) and 2), we get :
\(\dfrac{g}{g'} = \dfrac{600}{300}\\\\\dfrac{g}{g'} = 2\\\\g = 2g'\\\\g = 2\times g\times ( 1 - \dfrac{d}{R_e} )\\\\1 - \dfrac{d}{R_e} = \dfrac{1}{2} \\\\d = \dfrac{R_e}{2}\)
Therefore, we should go in the depth of distance half the radius of earth.
why do students in uganda need to study physics
Answer:
1.To acquire problem solving skills like simple repairs at home,simple instruction etc. 2. To acquire skills of operating and using equipments.Explanation:
I hope l helped you ❤❤❤Answer:
1. Ability of problem solving.
2. Physics gives u a job.
3. Physicists can become engineers.
4. Physics puts your math to use.
5. Physics is versatile.
6. Physics makes things possible.
The ball rolled 15 meters in 3 seconds. What was the speed of the ball?
Answer:
5 meter / sec.Explanation:
speed = distance / time
= 15 meters / 3 seconds
= 5 meter / sec.
Answer:5/sec
Explanation:
A skater holds her arms outstretched as she spins at 120 rpm. Part A What is the speed of her hands if they are 140 cm apart? Express your answer with the appropriate units
According to the question the speed of the skater's hands is 528 m/min.
To calculate the speed of the skater's hands, we can use the formula:
Speed = Circumference * Revolutions per minute
Given that the skater's hands are 140 cm apart and she spins at 120 rpm, we need to calculate the circumference of the circle formed by her hands.
The circumference of a circle is given by the formula:
Circumference = 2 * π * radius.
In this case, the radius is half the distance between the skater's hands, which is 140 cm / 2 = 70 cm.
Converting the radius to meters, we have 70 cm = 0.7 m.
Now we can calculate the circumference:
Circumference = 2 * π * 0.7 m = 4.4 m (rounded to one decimal place).
Finally, we can calculate the speed of the skater's hands:
Speed = Circumference * Revolutions per minute
= 4.4 m * 120 rpm
= 528 m/min.
Therefore, the speed of the skater's hands is 528 m/min.
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question 1.4 does the multimeter set to measure voltage act as a large resistance, or a small resistance? explain, based on your observations. why does it need to be designed this way?
Multimeter conducts like a big resistor. Since current will be very low due to the very high resistance, the circuit's overall current won't be impacted in the slightest. It will transmit the appropriate voltage
A passive electrical device known as a resistor adds resistance to the flow of electric current. They can be discovered in virtually all electrical networks and electronic circuits. One ampere of current (A) and a one volt (V) drop across a resistor's terminals produce an ohm, which is the resistance that results. The voltage at the terminal ends determines the current in a direct proportion. Ohm's law demonstrates how to calculate this ratio. Multiple applications exist for resistors. Among some examples are voltage division, heat generation, matching and loading circuits, current limiters for electric current, gain control, and time constant setting. With resistance values spanning a range of more than nine orders of magnitude, they are readily available on the market. Units of resister is omhs.In the International System of Units, the ohms serves as the reference unit for electrical resistance.
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Apply a 200N force to the left rope, and 150 N to the right rope. What is the magnitude and direction of the Resultant Force?
Answer:
Fnet = 200 -150
=50N
towards left
Cleo stated that light travels through air in straight paths, and when it moves from air to water, light changes direction, speeds up, and bends toward the normal.
Which statement best describes Cleo’s mistake?
A. Light travels through air and water in angled, scattered paths.
B. Light does not change direction when it moves from air into water.
C. Light slows down when it moves from air into water.
D. Light bends away from the normal when it moves from air into water.
Answer:
light bends away from the normal when it moves from air into water-refraction
Answer: C.) Light slows down when it moves from air into water.
Explanation: i hope this helps :)
an astronaut in space pushes a piece of equipment to get it into the correct position. what does newton's third law of motion tell us about this?
"For every action, there's an equivalent and opposite reaction" sums up Newton's third law of motion. This means that if the astronaut pushes an object, the object will push back at the astronaut with an equal level of force.
Explain about the newton's third law of motion?Every time one object applies force to another, the other object applies an equal and opposing force to the first.
His third law argues that there is an equal and opposing response to every movement (force) in nature.When object A pulls on item B, object B pulls back on object A with an equal and opposing force. In other words, interactions lead to forces.Examples of aerodynamics-related action and reaction:
The air is diverted downward by an airfoil's action, and the wing is propelled upward as a result. This is the motion generating lift from an airfoil.As a ball is spinning, the air deflects to one side, causing the ball to move in the opposite direction as a response."For every action, there's an equivalent and opposite reaction" sums up Newton's third law of motion.
Thus, this means that if the astronaut pushes an object, the object will push back at the astronaut with an equal level of force.
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4. A 2.00 kg object is accelerated uniformly from rest to 3.00 m/s while moving 1.5 m across a
level frictionless surface. Calculate the power output.
The power output of 2.00 kg object is accelerated uniformly from rest to 3.00 m/s while moving 1.5 m across a level frictionless surface is 24.09 watts.
What is power?In science, power is the time required to do work or provide energy, expressed as work done W or energy transferred divided by the time interval t - or W/t. A fixed amount of work can be done for a long time with a low-powered engine, or for a short time with a high-powered engine. The unit of power is work (or energy) per unit of time. Such as foot pounds per minute, joules (or watts) per second, and ergs per second. Force can also be expressed as the product of the force required to move an object and the object's velocity in the direction of the force. If the magnitude of the force F is measured in pounds and the velocity ν is measured in feet per minute, then the power is equal to Fν foot pounds per minute.
Given,
Mass of object (m) = 2.00 kg
Distance covered (s) = 1.5 m
Velocity of object (v) = 3.00 m/s
For calculation of acceleration:
v² = u² + 2as
3² = 0 + 2 × a × 1.5
9 = 3a
a = 2 m/s²
For calculation of time:
s = ut + ¹/₂at²
1.5 = 0 × t + ¹/₂ × 2 × t²
1.5 = t²
t = 1.22 sec.
For calculation of gravitational force:
F = mg
F = 2 × 9.8
F = 19.6 N
For calculation of work done:
W = F × s
W = 19.6 × 1.5
W = 29.4 J
For calculation of power output:
P = W/t
P = 29.4/1.22
P = 24.09 watts
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A 47 kg gymnast hangs vertically from a pair of parallel rings.
If the ropes supporting the rings are attached to the ceiling directly above, what is the tension in each rope?
The tension is in each rope will be 230.535 N .
Tension also known as tensile force is the force developed in a rope, string, or cable when it is stretched by an applied force.
Formula for the tension is T = mg.Mass of the gymnast = m = 47 kg
Acceleration due to gravity = g = 9.81 \(m/s^{2}\)
T = m*g
T = 47 * 9.81
T = 461.07 N
Since there are two parallel ropes attached to the ceiling, therefore tension will be equally divided into each rope respectively.
Tension in each rope = t
t = \(\frac{T}{2}\)
t = \(\frac{461.07}{2}\)
t = 230.535 N
The tension in each rope will be 230.535 N, when both the ropes are attached to the ceiling directly above the gymnast.
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Then, without changing speed, you round a curve and drive east. (a) Does your velocity change? (b) Do you accelerate? (a) Your velocity changes because the direction is changing. (b) Yes, because acceleration is how fast velocity changes and the velocity changed.
(a) Yes, our velocity changes because the direction is changing. (b) No, we do not accelerate.
(a) Velocity is a vector quantity that includes both magnitude (speed) and direction. When we round a curve and drive east, the direction of our motion changes.
Therefore, even if our speed remains constant, the velocity vector changes because it now points in the eastward direction instead of the previous direction.
(b) When the magnitude of the direction of the velocity is changed, we say that acceleration has occurred. In this scenario, although the direction of your velocity changes, your speed remains constant.
Since the rate at which velocity changes determines acceleration, there cannot be acceleration without a change in velocity.
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JIMGRANT PLS ANSWER THIS
the answer is 11.1 units
Explanation:
because i donot know go study with teacher not with app ya fool this is so esay even my 5 class bro solved it
In one of his many action movies Jackie Chan jumped off a building by wrapping a rope around his waist and then allowed it to unwind as he fell to the ground, much the same as a yo-yo. Assuming his acceleration toward the ground was a constant much less than g, the tension in the rope would be
Students performed multiple trials of a tennis ball rolling across the floor and recorded their observations in the table shown below.
Trial Observation
1 rolled toward the left for 6 meters before stopping
2 rolled 12 meters in 5 seconds before stopping
3 stopped after it rolled 4 meters in 2 seconds
4 stopped after it rolled toward the right for 3 meters in 1 second
From which trials can the velocity of the tennis ball be determined?
A.
4 and 2
B.
3 and 1
C.
1 and 4
D.
2 and 3
The trials where the velocity of the tennis ball is to be determined should be option c. 1 and 4.
What is velocity?It is the quantity of the vector that defined the rate where an object is to be changed the position. Here the person could be imagined and then moved in a rapid way like one step forward and one step back.
So here it should be rolled to the left hand side and it can be stopped after it rolled towards the right hand side.
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A 25 N force stretches a spring 280 cm. What was the spring constant?
Answer:
F= 25N∆l=280cmK=?you apply the formula = K:F/∆l= 0,089N/cmHi there!
Using Hooke's Law:
F = kx
F = Force (N)
k = Spring constant (N/m)
x = displacement (m)
Begin by converting cm to m:
280 cm = 2.8 m
Now, plug in the givens:
25 = 2.8k
k = 8.93 N/m
6. I ran 12.2 km in 1.4 hours. Then I ran another 19.3 km uphill in 2.2 hours. What was my average speed?
Answer: 8.75 km/hr
Explanation:
Concept to know
Average speed: total distance/total time
-------------------------------------------------------
total distance/total time
=(12.2+19.3)/(1.4+2.2) ⇔ add the numbers of two time running together
=31.5/3.6 ⇔ simplify
=8.75 km/hr
Hope this helps!! :)
Please let me know if you have any question
iv. The lift raises a car of mass 850 kg to a height of 2.1 m. It uses a force of 8330 N and takes 4 seconds to raise the car. What is the power of the lift? (1 point)
Answer:
Power is 4373.25 W
Explanation:
We have,
The lift raises a car of mass 850 kg to a height of 2.1 m. It uses a force of 8330 N and takes 4 seconds to raise the car. It is required to find the power of the lift. Power is equal to the rate at which the work is done. So,
\(P=\dfrac{Fd}{t}\\\\P=\dfrac{8330\times 2.1}{4}\\\\P=4373.25\ W\)
So, the power of the lift is 4373.25 W.
016 (part 1 of 2) 10.0 points
A neutron in a reactor makes an elastic headon collision with the nucleus of an atom initially at rest.
Assume: The mass of the atomic nucleus is
about 11.1 the mass of the neutron.
What fraction of the neutron’s kinetic energy is transferred to the atomic nucleus?
017 (part 2 of 2) 10.0 points
If the initial kinetic energy of the neutron is
4.2 × 10−13 J, find its final kinetic energy.
Answer in units of J.
No Rounding
(a) The fraction of neutron's kinetic energy transferred to the atomic nucleus is 0.09.
(b) The final kinetic energy of the neutron is 3.82 x 10⁻¹³ J.
What is the final velocity of the atom?The final velocity of the atom is calculated by applying the principle of conservation of linear momentum as follows;
initial momentum of the neutron = final momentum of the atom
m₁u₁ = m₂u₂
where;
m₁ is the mass of the neutronu₁ is the initial velocity of the neutronm₂ is the mass of the atomic nucleus u₂ is the final velocity of the atomic nucleusThe mass of the atomic nucleus = 11.1 m₁
u₂ = m₁u₁ / m₂
u₂ = m₁u₁ / (11.1 m₁)
u₂ = 0.09u₁
The initial kinetic energy of the neutron is calculated as;
K.Ei = ¹/₂m₁u₁²
The final kinetic energy of the atomic nucleus is calculated as;
K.Ef = ¹/₂m₂u₂²
K.Ef = ¹/₂(11.1 m₁)(0.09u₁)²
K.Ef = 0.09 (¹/₂m₁u₁²)
K.Ef = 0.09 (K.Ei)
The fraction of neutron's kinetic energy transferred to the atomic nucleus is calculated as;
= 0.09 (K.Ei) / K.Ei
= 0.09
= 9 %
The final kinetic energy of the neutron is calculated as follows;
K.E.f (neutron) = (1 - 0.09) x (4.2 x 10⁻¹³ J)
K.E.f (neutron) = 3.82 x 10⁻¹³ J
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what is python in programming.
Answer:
Python is a programming language uses code like java ,Css and HTML. it is uses in software and some application. It is use in coding website and application.
Which statement best explains the relationship between current, voltage, and resistance?
a.If we increase the amount of voltage applied, and do not change the resistance, this will result in a decrease in current.
b.If we decrease the current applied, and do not change the resistance, we increase the voltage.
c.If we increase the amount of voltage applied, and do not change the resistance, we will also increase the current.
d.If we decrease the amount of current, this will not affect the amount of voltage, only the amount of resistance.
Explanation:
Ohm's law gives the relationship between current, voltage, and resistance. Its mathematical form is given by :
V = IR
I is current and R is resistance
Resistance resists the flow of electric current in a circuit. When the amount of applied voltage is increased, it will not change the resistance. It increases the current. Hence, the correct option is (C).