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The acceleration due to gravity g at a distance r from the center of a planet of mass Mis 9 m/s2. In terms of the orbital distance r, what
would the speed of this satellite have to be to remain in a circular orbit around this planet at this distance?
Ov=3/5
v=3r
v=6r
v=9râ

Answers

Answer 1

To stay in a circular orbit at a specific distance, the satellite must have a speed that is three times the square root of that distance. Therefore, the correct answer is option B.

The speed of a satellite in a circular orbit around a planet can be determined by equating the centripetal force required to keep the satellite in orbit with the gravitational force of the planet on the satellite.

The centripetal force is given by \(F = mv^2/r\), where m is the mass of the satellite, v is its speed, and r is the distance from the center of the planet.

The gravitational force is given by \(F = G(Mm)/r^2\), where G is the gravitational constant, M is the mass of the planet, and m is the mass of the satellite. Equating these two forces and solving for v gives \(v = \sqrt{(GM/r)}\)

Substituting the given values for g = 9 m/s² and r, we get \(v = \sqrt{(gr)}\), which simplifies to \(v = \sqrt{(9r)} = 3\sqrt{r}\).

Therefore, the correct answer is v = 3r. This means that the speed of the satellite must be three times the square root of the distance from the center of the planet to remain in a circular orbit at that distance.

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Related Questions

an oscilloscope is set in the 0.5volt per division scale. the signal measures four whole divisions. what is the value of voltage?

Answers

The voltage measured by the oscilloscope is 2 volts.

What is an oscilloscope and how is the voltage scale calibrated on it?

An oscilloscope is a device used to display and analyze the waveform of electronic signals. The voltage scale on an oscilloscope is usually calibrated in volts per division. This means that each division on the screen represents a certain amount of voltage.

In the given scenario, the oscilloscope is set in the 0.5 volts per division scale. This means that each division on the screen represents 0.5 volts of voltage. The signal measures four whole divisions, which means the total voltage can be calculated by multiplying the number of divisions by the volts per division.

Therefore, the value of voltage can be calculated as follows:

4 divisions x 0.5 volts per division = 2 volts

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The four balls each have the same mass m. If A and B are rolling forward with velocity v and strike C, determine the velocity of each ball after the first three coIlision. Take e = 0.5 between each ball.

Answers

The velocities of A, B, and C after the first three collisions are (1 - e)v, (1 - e)v, and (2e - 1)v respectively.

How to calculate the velocities?

Let's denote the masses of the four balls as A, B, C, and D respectively. The velocity of each ball after the first three collisions can be determined using the equation of Conservation of Momentum:

The momentum of A + B before the collision = Momentum of A + B + C after the collision

mAvA + mBvB = mAv'A + mBv'B + mCv'C



Where v'A, v'B, and v'C are the velocities of A, B, and C respectively after the collision.

Since all four balls have the same mass, m, the equation simplifies to:
2mv = 2mv'A + 2mv'B + 2mv'C

Solving for v'A, v'B, and v'C gives

v'A = (1 - e)v

v'B = (1 - e)v

v'C = (2e - 1)v

Therefore, the velocities of A, B, and C after the first three collisions are (1 - e)v, (1 - e)v, and (2e - 1)v respectively.

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- A block weighing 200 N is pushing along a surface. If it takes 80 N to get the block moving and 40 N to keep the block moving at a constant velocity, What are the coefficients of friction μs and μk?

Answers

The coefficients of friction for this scenario are μs = 0.4 and μk = 0.2.

The coefficient of static friction (μs) is the ratio of the maximum force of static friction (Fs max) that can be overcome between two solid surfaces in contact with each other, while the coefficient of kinetic friction (μk) is the ratio of the force of kinetic friction between two solid surfaces in contact with each other that are in motion. Both coefficients can be used to describe the amount of friction between two surfaces, which is dependent on the type of material and surface finish. The equation F = μN is used to calculate frictional forces, where F is the force of friction, μ is the coefficient of friction, and N is the normal force, which is equal to the weight of the object in question.

The normal force N, which is equal to the weight of the object, is determined using the equation N = mg, where m is the mass of the object and g is the acceleration due to gravity. Using this information, the coefficients of friction can be calculated. In this case, the block weighs 200 N and requires 80 N of force to overcome the static friction to get it moving. The normal force is equal to the weight, which is 200 N, so the coefficient of static friction is:

μs = Fs max /N= 80 N/200 N= 0.4. For the kinetic coefficient of friction, 40 N of force is required to keep the block moving at a constant velocity. Since the block is already moving, the maximum force of static friction does not apply, so the force of kinetic friction is used. Thus, the coefficient of kinetic friction can be calculated as follows: μk = kinetic friction/N = 40 N/200 N = 0.2

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A phase diagram assumes______
is kept constant.
Odensity
O volume
O temperature
O pressure

Answers

Choice D, pressure.
Pressure is the correct answer which is D

three uncharged capacitors with equal capacitances are combined in parallel. the combination is connected to a 6.99 v battery, which charges the capac

Answers

..............................

The capacitance of each capacitor is 2.1 ×\(10^{-5}\)F.

Let

Equivalent capacitance of the circuit = \(C_{eq}\)

   \(C_{eq}\) =Q/V

where Q is the charge and V is the potential difference.

Q = \(3.5\)×\(10^{-4\)

V = 5.55 V

Putting the values

   \(C_{eq}\) =    \(3.5\)×\(10^{-4\)/5.5V

                   \(C_{eq}\) = \(6.4\)×\(10^{-5}\)F

The circuit consists of 3 capacitors in parallel, each one having the same capacitance C.

To find C:

C = \(C_{eq}\)/3

C = 2.1 ×\(10^{-5}\)F

The capacitance of each capacitor is 2.1 ×\(10^{-5}\)F.

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The full Question is :

Three uncharged capacitors with equal capacitances are combined in parallel. the combination is connected to a 5.55-v battery, which charges the capacitors. the charging process involves 3.45 Ã 10-4 c of charge moving through the battery. find the capacitance of each capacitor.

the sun rises and sets; the moon rises and sets. as seen from a location on earth that is arbitrary and in no way special, do all stars also rise and set, or do some stars stay in the sky all the time, or do all stars stay in the same place in the sky and neither rise nor set?

Answers

Some stars rise and set, while others remain in the sky all the time, depending on the observer's location on Earth.

This phenomenon occurs because Earth rotates on its axis, causing the stars to appear to move across the sky.
Stars that rise and set are called "circumpolar stars." These stars are visible above the horizon throughout the entire night, and their positions change due to Earth's rotation. For observers at the Earth's equator, all stars will appear to rise and set because they are equally distributed around the sky.

However, for observers at higher latitudes, some stars will never rise nor set. These stars are called "circumpolar stars." They are visible all year round and seem to circle around the celestial poles (North and South Poles). The closer an observer is to the poles, the larger the number of circumpolar stars.

In summary, whether stars appear to rise and set or remain in the sky depends on the observer's location on Earth. At the equator, all stars will appear to rise and set, while at higher latitudes, some stars will be circumpolar and stay visible in the sky all the time.

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Your customer is long 1 October 75 put at 2. The customer's maximum gain potential is
A) $2,000
B) $7,300
C) $7,500
D)$7,700

Answers

The customer's maximum gain potential is $7,300.

A put option is a contract that gives the owner the right, but not the obligation, to sell a specified amount of an underlying asset, at a specified price within a specified time frame.

Here, the customer is long 1 October 75 put at 2.

In this case, the maximum gain potential is calculated using the following formula;

Max gain potential = Strike price – Premium paid

Max gain potential = $75 - $2

Max gain potential = $73

Therefore, the customer's maximum gain potential is $7,300.

Option B) $7,300

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Photons of ultraviolet radiation contain more energy than do photons of violet visible light.
a. true
b. false

Answers

The statement that photons of ultraviolet radiation contain more energy than do photons of violet visible light is true.

Due to its shorter wavelengths than blue or violet light, ultraviolet radiation oscillates more quickly and has a higher energy content per photon than visible light.

Compared to visible light, UV light contains more energetic photons, but the quantity is governed by intensity, which is the number of photons released in a certain amount of time, such as from a lamp.

This is also known as the luminous flux or light flux.

The color of visible light depends on the energy of the photons that produce it. Higher energy (shorter wavelength) light is at the violet end of the visible light spectrum, whereas lower energy (longer wavelength) light is at the red end.

UV light has a shorter wavelength than violet visible light due to its increased intensity.

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How does the observed pitch of the buzzer change as it moves towards the observer?.

Answers

The observed frequency increases and ear hears a higher pitch.

The Doppler Effect is the change in wave frequency caused by the relative motion of a wave source and its observer. Christian Johann Doppler discovered it and described it as the process of increasing or decreasing starlight based on the relative movement of the star.

The Doppler effect, also known as the Doppler shift, is a phenomenon that occurs when the source of waves moves in relation to an observer. A common physical demonstration of the Doppler Effect is an ambulance crossing you with its siren blaring. The Doppler effect is important in astronomy because it allows us to calculate the velocity of light-emitting objects in space, such as stars or galaxies.

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The diagram below shows TWO forces P and Q of magnitude 250 N and 150 N respectively acting at a point R 250 N 150 N Calculate the horizontal and vertical components of vector P​

Answers

The horizontal component of force P is 216.5 N and the vertical component is 125 N.

Since we are given the magnitudes of the forces P and Q and the angles they make with the horizontal axis, we can use trigonometry to find their horizontal and vertical components.

Let's first focus on force P, which has a magnitude of 250 N and makes an angle of 30 degrees with the horizontal axis. We can break this force down into its horizontal and vertical components using the following equations:

Horizontal = P * cos(theta)

Vertical = P * sin(theta)

where P is the magnitude of force P and theta is the angle it makes with the horizontal axis.

Substituting the given values, we get:

Horizontal = 250 N * cos(30 degrees) = 216.5 N

Vertical = 250 N * sin(30 degrees) = 125 N

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the need for sustainable energy resources ??

Answers

Answer:

Sustainable energy is essential to meet uncontrolled rising demand for energy, reduce pollution and shift to resources that can be used again and again.

Explanation:

Considering the Sustainable Goals floated by United Nation, it is essential for all countries to improve their score in all the SD goals.

One of the SD goal is to shift to sustainable energy.

Sustainable energy is essential from following three points

- Reuse of energy source again and again to outcome the fear of resource depletion

- Sustainable energy source shall ensure cleaner environment

- Sustainable energy sources are also essential to meet the rising consumption of energy with time all across the globe.

Some common examples are - Solar energy, Wind Energy, Energy from nuclear fuels etc.

Use this free body diagram to help you find the magnitude of the force F1 needed to keep this block in static equilibrium.

Use this free body diagram to help you find the magnitude of the force F1 needed to keep this block in

Answers

Static equilibrium means that all forces are equal, so to make this easiest you want to break F1 into it's horizontal and vertical components. As there are no other forces acting in the horizontal, we know the horizontal component of F1 is 40N.

What is static equilibrium ?

Dynamic equilibrium is a state in which bodies are moving at a constant speed as opposed to static equilibrium, which is a state in which bodies are at rest (rectilinear motion). The total amount of forces exerted on them in both situations is zero.

When two forces are acting on an object that is in static equilibrium, it indicates that their sum is zero, which makes static equilibrium a useful analytical tool. You may create an equation to figure out the direction and strength of the unknown force if you know the direction and strength of one of the forces.

Thus, Static equilibrium means that all forces are equal, so to make this easiest you want to break F1 into it's horizontal and vertical components.

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Directions: Follow the steps below to help you understand electrical charges.
Materials
You will need: a plastic bag, two long rubber bands, a thin aluminum pie tin, a wool scarf or glove, and a friend or family member to assist you.
• STEP 1: Stretch the rubber bands across the pan-they should cross one another. Lay the bag flat on the table and rub it several times with the wool.
• STEP 2: With one hand, lift the pan by the rubber bands; be sure to keep your fingers from touching the pan,
• STEP 3: Bring the pan and the bag together. While they are together, ask someone to touch the pan quickly. What happens?
• STEP 4: Now take the pan away from the bag, still keeping your fingers from touching the pan. Right away, bring the pan up to your nose. What do you feel?
What do you hear?
• STEP 5: Now complete Steps 1-4 again, but do them in a dark room or closet. Ask a friend or family member to be in the room with you-what did he or she see
when you brought the pan to your nose?
Using the Text Editor, explain your observations and what happened during this experiment. What was happening to the electrical charges during the experiment and
why?

Answers

In this experiment, rubbing a plastic bag against wool allowed electrons to move back and forth between the two, creating a negative charge on the bag. When the negatively charged bag was brought close to the neutral PAN, the bag's negative charge attracted the PAN's electrons, separating the two charges and leaving the PAN with a positive charge. On touching the pan the surplus positive charge was neutralized, creating a spark.

When the pan was brought up to the nose a slight jolt was felt and a crackling sound was heard. This resulted in the excess charge in the pan being carried through the air to the nearest conductor, the person holding the pan.

The spark and shock were easy to see in a dark environment as there was no ambient light to obstruct the view. The blow was more pronounced and distinct, and the spark appeared as a bluish glow.

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Nearly all scientists agree that fossil fuels will be used up in a few decades.

· True
· False

Answers

Answer:

it's true

mark me as brilliant please

The answer is false because many believe that we will eventually stop using them,but the answer is false

At a grocery store, 20 fl oz of brand A vitamin
water is sold for $0.95. What is the unit price of
the vitamin water per ounce, to the nearest cents?

Answers

Answer:

0.05 cents per fl oz

Explanation:

0.95 divided by 20

0.0475 to the nearest cent 0.05

A 16-year-old employee working for Southern Virginia College's (SVC) bookstore during the summer months is helping prepare for Fall sales. It's a good way to make extra money, and the teen is saving for a car.

Books from one supplier are shipped to the SVC bookstore in large crates equipped with rope handles on all sides. On one occasion, the teen momentarily pulled with a force of 713 N at an angle of 35.8° above the horizontal to accelerate a 114-kg crate of books. The coefficient of friction between the crates and the vinyl floor is 0.541.

Determine the acceleration experienced by the crate in m/s2. Use the approximation g ≈ 10 m/s2.

Answer: ___________ m/s2 (rounded to the hundredths or thousandths place)

Answers

The acceleration experienced by the crate is approximately 0.844 m/s

How to solve for the acceleration

Weight of the crate:

Weight = mass × acceleration due to gravity

Weight = 114 kg × 10 m/s^2

Weight = 1140 N

Force of friction:

Force of Friction = coefficient of friction × normal force

Force of Friction = 0.541 × 1140 N

Force of Friction ≈ 616.74 N

Net force:

Net Force = Applied Force - Force of Friction

Net Force = 713 N - 616.74 N

Net Force ≈ 96.26 N

Acceleration:

Acceleration = Net Force / mass

Acceleration = 96.26 N / 114 kg

Acceleration ≈ 0.844 m/s

Therefore, the acceleration experienced by the crate is approximately 0.844 m/s

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Could there ever be a situation where a small sports car could have more inertia than a big bus?​

Answers

There could as smaller objects have more inertia. Mass is a measure of an objects in Harsha. Objects with greater mass have a greater in Inertia yet it’s still maintains the same amount of inertia as usual. It still has the same tendency to resist changes in its state of motion. So yes it is possible that there could ever be a situation where a small sports car would have more inertia than a big bus. :)

What is the energy of a photon emitted with a wavelength of 518 nm?
A. 1.03 x 10-13
B. 3.43 x 10-22
O C. 3.84 x 10-19 J
D. 1.28 x 10-27

Answers

Answer:

C

Explanation:

C
Explanation:
just do the math

Because the pressure falls, water boils at a lower temperature with increasing altitude. Consequently, cake mixes and boiled eggs, among other foods, must be cooked different lengths of time. Determine the boiling temperature of water at 1000 and 2000 m elevation on a standard day, and compare with the sea-level value

Answers

Answer:

1) The boiling point of water reduces by 3.28°C at 1,000 m above sea-level

2) The boiling point of water reduces by 6.56°C at 2,000 m above sea-level

Explanation:

The variation of the boiling point of water with elevation is given as follows

The boiling point reduces by 0.5°C for every 152.4 meter increase in elevation

At sea-level, the boiling point temperature of water = 100°C

1) At 1,000 m elevation, the boiling point temperature, T = 100 - (1,000/152.4) × 0.5 ≈ 96.72 °C

Therefore, the boiling point of water reduces by 100° - 96.72° = 3.28°C at 1,000 m above sea-level

2) At 2,000 m elevation, the boiling point temperature, T = 100 - (2,000/152.4) × 0.5 ≈ 93.44°C

The boiling point of water reduces by 100° - 93.44° = 6.56°C at 2,000 m above sea-level

9. two solid spheres, both of radius 5 cm, carry identical total charges of 2 !c. sphere a is a good conductor. sphere b is an insulator, and its charge is distributed uniformly through- out its volume. (i) how do the magnitudes of the electric fields they separately create at a radial distance of 6 cm compare?(a)ea.eb 50(b)ea.eb.0(c)ea5eb.0 (d)0,ea,eb (e)05ea,eb (ii)howdothemagnitudes of the electric fields they separately create at radius 4 cm compare? choose from the same possibilities as in part (i).

Answers

(i) The magnitudes of the electric fields they separately create at a radial distance of 6 cm is \(E_{a}\)=\(E_b}\). and (ii) The magnitudes of the electric fields they separately create at radius 4 cm is \(E_{a} =E_{b}\), so the correct option is option b.

What do you mean by conductor?

A conductor refers to a material that allows an electric current to flow through it with ease. In other words, it has a low electrical resistance. Conductors are materials that have a high number of free electrons that are able to move freely through the material. Examples of conductors include copper, aluminum, gold, and silver. These materials are commonly used in the electrical industry to make wires and other electrical components that need to conduct electricity. In addition to materials, a conductor can also refer to a person or an organization that is responsible for directing or leading an orchestra or a choir. In this context, a conductor is in charge of maintaining the ensemble's rhythm and intonation, and interpreting the score in a way that brings out the music's emotional content and intended meaning.

(i) The magnitude of the electric field created by a charged conductor is given by the formula E = \(\frac{kq}{r}\), where k is the Coulomb constant, q is the charge, and r is the distance from the center of the sphere.

For a good conductor, like sphere A, the charge will be distributed evenly on the surface of the sphere. So, the electric field at a radial distance of 6cm will be Eₐ = \(\frac{kq}{r^{2} }\) = \(k\frac{210^{-6} }{(619^{-2} )}^{2} =\frac{k}{72}\)

For an insulator, like sphere B, the charge is distributed uniformly throughout its volume. The electric field at a radial distance of 6cm will be \(E_{b}\)=  \(\frac{kq}{r^{2} }=k\frac{210^{-6} }{(619^{-2} )}^{2} =\frac{k}{72}\)

As we can see, the magnitudes of the electric fields created by both spheres are equal, so the answer is (b) \(E_{a} =E_{b}\)

(ii) For the radius of 4cm, the electric field created by sphere A and sphere B will

\(E_{a} =\frac{kq}{r^{2} }=k\frac{210^{-6} }{(410^{-2} )^{2} } =\frac{k}{16}\\E_{b} =\frac{kq}{r^{2} }=k\frac{210^{-6} }{(410^{-2} )^{2} } =\frac{k}{16}\\\)

As we can see, the magnitudes of the electric fields created by both spheres are equal at a radius of 4cm, so the answer is (b) \(E_{a} =E_{b}\)

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An observer notices that a moving clock runs slow by a factor of exactly 10. the speed of the clock is:________

Answers

If a clock appears to run slow by a factor of 10, it means that the clock's speed is 1/10th the speed of the observer. Therefore, the speed of the clock is one-tenth the speed of the observer.

The speed of the clock cannot be determined based solely on the information given about its time dilation factor. Without additional information about the clock's actual velocity or the reference frame of the observer, it is not possible to calculate its speed accurately. The time dilation factor of 10 suggests that the clock is experiencing significant time dilation due to its motion relative to the observer, indicating that it is moving at a substantial velocity. However, the specific speed cannot be determined without more context.

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an asronaut on a planet having no atmosphere throws a stone of mass m vertically upwards with velocity 10 m/s. It reaches maximum height of 10 m. If another stone of mass 2m is thrown upwards with velocity 20 m/s, the maximum height reached will be

Answers

Answer:

2.5m

Explanation:

M1V1H1=M2V2H2

m1=m, m2=2m, v1=10m/s, v2=20m/s, h1=10, h2= ?

h2= 100×m/20×2m= 2.5m

A box weighing 25 N is lifted to a height of 1.1 m by sliding it up a ramp 3.2 m long. The person pushing the box exerts a force of 9.9 N.

What is the mechanical advantage of the ramp?

b. What is the machine's efficiency?

5. What is the power of a crane that lifts a 120 N load 14 m in 3.6 s?

Answers

Answer:

a. The mechanical advantage of the ramp is:

Mechanical advantage = length of ramp / height

Mechanical advantage = 3.2 m / 1.1 m

Mechanical advantage = 2.91

b. The efficiency of the machine is the ratio of output work to input work, expressed as a percentage. In this case, the output work is the work done on the box (force x distance), which is:

Output work = force x distance

Output work = 25 N x 1.1 m

Output work = 27.5 J

The input work is the work done by the person pushing the box, which is:

Input work = force x distance

Input work = 9.9 N x 3.2 m

Input work = 31.68 J

The efficiency of the machine is:

Efficiency = (output work / input work) x 100%

Efficiency = (27.5 J / 31.68 J) x 100%

Efficiency = 86.8%

Therefore, the efficiency of the machine is 86.8%.

c. The power of the crane is given by the formula:

Power = work / time

where work is the product of force and distance, and time is the duration over which the work is done.

In this case, the work done by the crane is:

Work = force x distance

Work = 120 N x 14 m

Work = 1680 J

The time taken to lift the load is 3.6 s. Therefore, the power of the crane is:

Power = work / time

Power = 1680 J / 3.6 s

Power = 466.7 W

Therefore, the power of the crane is 466.7 watts.

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Explanation:

an aluminum bar of mass 2.00 kg at 300 ∘c is thrown into a lake. the temperature of the water in the lake is 15.0 ∘c; the specific heat capacity of aluminum is 900 j/(kg⋅k) .

Answers

The aluminum bar loses 513,000 J of heat as it cools down to the lake water temperature.

Explanation:

To find the heat lost by the aluminum bar as it cools down to the water temperature, you should follow these steps:

Step1. Determine the initial temperature of the aluminum bar: 300°C
Step2. Determine the final temperature of the aluminum (lake water temperature): 15°C
Step3. Calculate the temperature difference:

          ΔT = (initial temperature - final temperature) = (300 - 15)°C = 285°C
Step4. Find the mass of the aluminum bar 2.00 kg
Step5. Find the specific heat capacity of aluminum 900 J/(kg⋅K)
Step6. Calculate the heat lost by the aluminum:

           Q = mass × specific heat capacity × ΔT = 2.00 kg × 900 J/(kg⋅K) × 285°C = 513,000 J

So, the aluminum bar loses 513,000 J of heat as it cools down to the lake water temperature.

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A 7.50 kg bowling ball moving6.42 m/s strikes a 1.60 kg bowlingpin at rest. After, the pin moves14.8 m/s at a -47.0° angle. Whatis the y-component of the ball'sfinal velocity?y-component (m/s)Enter

A 7.50 kg bowling ball moving6.42 m/s strikes a 1.60 kg bowlingpin at rest. After, the pin moves14.8

Answers

let the bowling ball initially is moving along the x-axis,

The whole process can be represented as,

Before the collision the net kinetic energy of the balls is,

\(K_{iy}=\frac{1}{2}\times m_1\times(v_1\cos (90^o))^2+\frac{1}{2}\times m_2\times(0)^2\)

where the values of the variables are given as,

\(\begin{gathered} m_1=7.5\text{ kg} \\ v_1=6.42ms^{-1} \\ m_2=1.6\text{ kg} \end{gathered}\)

As the value of cos(90) is zero.

Substituting the known values,

The value of the net kinetic energy with the velocity along the y-axis before the collision is,

\(K_{iy}=0\)

The velocity of the second ball is at rest in the initial state, thus its value is taken as zero.

After the collision of the balls, the net kinetic energy is,

\(\begin{gathered} K_{fy}=\frac{1}{2}\times m_1\times(v^{\prime}_1\sin (\alpha))^2+\frac{1}{2}\times m_1\times(v^{\prime}_2\sin (-47^o))^2 \\ K_{fy}=\frac{1}{2}\times m_1\times(v_{1fy})^2+\frac{1}{2}\times m_1\times(v^{\prime}_2\sin (-47^o))^2 \end{gathered}\)

Negative sign here indicating the direction of the final balls motion will be opposite to the each other.

The values of the variables are given as,

\(v^{\prime}_2=14.8ms^{-1}\)

Substituting the known values,

The value final kinetic enegry of the balls with velocity along the y-axis is,

\(\begin{gathered} K_{fy}=\frac{1}{2}\times7.5\times(v_{1fy})^2+\frac{1}{2}\times1.6\times(14.8\times\sin (360^o-47^o)^2 \\ K_{fy}=3.75\times(v_{1fy})^2-93.72 \end{gathered}\)

Here 360 degree is used because the pin ball direction is downward of the positive x-axis.

Then by the law of conservation of energy along the y-axis,

\(\begin{gathered} K_{iy}=K_{fy} \\ 0=3.75\times(v_{1fy})^2-93.72 \\ (v_{1fy})^2=\frac{93.72}{3.75} \\ (v_{1fy})^2=25 \\ v_{1fy}=5ms^{-1} \end{gathered}\)

Thus, the y component of the final velocity of the bowling ball of mass m1 is 5 meter per second.

A 7.50 kg bowling ball moving6.42 m/s strikes a 1.60 kg bowlingpin at rest. After, the pin moves14.8

A thin plastic rod of length 2.5 m is rubbed all over with wool, and acquires a charge of 75 nC, distributed uniformly over its surface. Calculate the magnitude of the electric field due to the rod at a location 7 cm from the midpoint of the rod. Do the calculation two ways, first using the exact formula for a rod of any length, and second using the approximate formula for a long rod.

Answers

Answer:

find out the le

Explanation:

Please help.. I'm desperate.

Using language from newton's laws of motion, describe why the space shuttle seen in the picture is able to take off.

Please help.. I'm desperate.Using language from newton's laws of motion, describe why the space shuttle

Answers

Answer:

Newton's Second Law tells us that the more mass an object has, the more force is needed to move it. A larger rocket will need stronger forces (eg. more fuel) to make it accelerate. The space shuttles required seven pounds of fuel for every pound of payload they carry.

Explanation:

TRUE/FALSE. Recall requires a person to reproduce information on one’s own

Answers

TRUE. Recall requires a person to reproduce information on one’s own.

Recall is the act of remembering something that one has learned or experienced. Recalling, or retrieving, information from long-term memory is a multistep process that involves registering, storing, and eventually retrieving memories. When you remember the name of a song, for example, you recall it. When you remember your best friend's phone number, you are recalling it.Information is stored in our brains in a variety of ways, such as visual images or sounds. The information is then stored in the brain as either short-term or long-term memory, depending on how it is processed and remembered. Short-term memory, for example, stores information for a few seconds to a minute before it is either forgotten or encoded into long-term memory.In conclusion, recall is an important process for retrieving information from memory. It requires an individual to reproduce information on their own from memory.

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7. Two bikes travelling in the same direction move at a speed of 30 km/hr. The bikes are separated by a distance of 5 km. What would the speed of the car travelling in the opposite direction be if it meets these bikes at an interval of 4 minutes?

Answers

Answer:

Explanation:

Call the bike on the right A

Call the bike on the left B

The car begins it's time when it passes A

4 minutes later, it passes B.

But B has moved in 4 minutes and that is the key to the problem.

How far has B moved.

t = 4 minutes = 4/60 hours = 1/15 of an hour.

d = ?

rate = 30 km / hr

d = r * t

d = 30 km/hr * 1/15 hours = 2 km

The distance between the bikes is 5 km.

So the car has traveled 5 - 2 = 3 km

d = 3 km

r = ?

t = 4 minutes = 1/15 hour

r = d/t = 3/(1/15)= 3 / 0.066666666  = 45 km/hr.

A certain atom has eight protons, eight electrons, and eight neutrons. How many nucleons does this atom have? What is the atomic number of this atom? What is the mass number of this atom?

Answers

Explanation:

Number of nucleons

= no of protons + no of neutrons

= 8 + 8

= 16

Atomic number = no of protons = 8

Atomic mass = 15.999

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