Question

In: Physics

You’re playing pool and you line up a shot on the 3 ball. You want the...

You’re playing pool and you line up a shot on the 3 ball. You want the 3 ball to be deflected by an angle of (Theta)3 = 25(Degrees) at a velocity v3 = 1.3 m/s so that it will make it into a side pocket. What initial velocity must you give the cue ball in order to make this shot and what will be the velocity and angle of the cue ball following the collision? Recall that the mass of a cue ball is 0.17 kg, while the mass of a 3 ball is 0.16 kg. Hint: it might be useful to express the mass of the 3 ball as a fraction of the mass of the cue ball.

Solutions

Expert Solution

Let the speed of the cue ball following the collision be v₁ and angle be

Applying momentum conservation in the x-direction

the initial velocity of ball 3 is zero

.................(1)

............(2)

Applying momentum conservation in the y-direction

..............(3)

Squaring and adding (2) and (3)

............(4)

Applying conservation of kinetic energy

Putting value ofv₁ from (4) we have

initial velocity must you give the cue ball in order to make this shot is 11.85 m/s

the velocity of the cue ball following the collision is 11.77 m/s

the v angle of the cue ball following the collision is26^o

genius_generous answered 1 year ago

Next > < Previous

Related Solutions

I am playing pool and i hit a trick shot. I hit the ball at an...

I am playing pool and i hit a trick shot. I hit the ball at an angle 55 degrees. with a force of 10 newtons for .4seconds. The ball ihas a radius of 0.05m and a mass of .150kg. and the coeeficient of kinetic friction is 0.3. 1) determine the initial linear and angular velocity after i hit the ball? determine the distance the ball travels after it it and before it goes back? Determine the final velocity? answer all.

A ball is shot up from a surface that is 20 m above the surface with...

A ball is shot up from a surface that is 20 m above the surface with an initial speed of 10 m/s. 1. What is the magnitude of the ball's displacement from the surface after 3.00 second has elapsed? 2. What max height will the ball reach from the surface of the earth? 3. How much time elapses between the throwing of the ball and its reaching to the earth? 4. Calculate the magnitude of the velocity of the ball...

A ball is shot horizontally at 3 m/s and is in the air for 3 seconds....

A ball is shot horizontally at 3 m/s and is in the air for 3 seconds. How far did it go?

A ball of mass m is shot straight up into the air by a spring-loaded launcher....

A ball of mass m is shot straight up into the air by a spring-loaded launcher. Initially, the spring is compressed by a distance D. After the spring is released, the ball has a velocity v out of the launcher and finally reaches a maximum height H. Ignoring air resistance, which of the following statements are true? True False If the spring constant is doubled, the ball will max out at height 8H True False The initial potential energy of the spring...

Suppose you’re playing a game where you consecutively roll 3 dice. After each roll you may...

Suppose you’re playing a game where you consecutively roll 3 dice. After each roll you may choose to either roll the next dice or sacrifice one die to reroll any number of the previous dice. If you get a number greater than 5 you win, but if you roll doubles or a number less than 6 you lose. Considering each roll a separate state what is the approximate branching factor? Justify. Draw the full state space considering only the number...

You’re playing with two of the carts (each with mass m) that you used in Activity...

You’re playing with two of the carts (each with mass m) that you used in Activity 27a. Initially, these two carts are moving toward each other with the same initial speed vi along the track. The carts collide and the result is one of these ﬁnal states: (a) Assume that the carts hit each other and stop so that the ﬁnal state of the system has both carts just sitting still (not moving). Draw a Momentum Chart for this situation....

You just turned 26. Now that you’re old, you want to be responsible and start a...

You just turned 26. Now that you’re old, you want to be responsible and start a retirement fund. You plan to invest $445 every month for the next 39 years. You expect to earn a 7.9% annual return until you retire. Once you retire, you will shift your savings into safer investments that you expect will earn 4.8% per year. You plan to make monthly withdrawals for 21 years of retirement (and don't want to have any money left at...

While playing pool (or billiards), you begin to wonder how to impart the greatest energy possible...

While playing pool (or billiards), you begin to wonder how to impart the greatest energy possible from the white ball (m1) to the target ball (m2). Suppose that the collision is elastic and occurs along a straight line. Find the ratio m1/m2 such that the amount of kinetic energy imparted to m2 is a maximum. Please show work step by step, to explain answer

3. A ball rolls up and then back down an incline.Take the x direction to be...

3. A ball rolls up and then back down an incline.Take the x direction to be upward along the incline, y to be perpendicular to the incline, and the origin to be at the bottom of the incline. (a) Is it possible for an object to have a negative acceleration and yet be speeding up? If so, give an example; if not, explain why not. (b) Is the ball’s velocity ever zero? If so, when?(c) Is the ball’s acceleration ever...

You just turned 26. Happy birthday! Now that you’re old, you want to be responsible and...

You just turned 26. Happy birthday! Now that you’re old, you want to be responsible and start a retirement fund. You plan to invest $445 every month for the next 39 years. You expect to earn a 7.9% annual return until you retire. Once you retire, you will shift your savings into safer investments that you expect will earn 4.8% per year. You plan to make monthly withdrawals for 21 years of retirement (and don't want to have any money...

Subjects