Question

In: Physics

Consider a problem involving tow rubber balls. The upper ball has half the mass of the...

Consider a problem involving tow rubber balls. The upper ball has half the mass of the lower ball. Both are dropped from the same height and so they arrive at thetable traveling downward at a given speed v0. Assume the lower ball bounces perfectly elastically off the table, and is now moving upward at v0, then bounces perfectlyelastically off the upper ball (which at that moment still moving downward at v0.) Find the final speed upward of the upper ball immediately after the collisions. (Hint will begreater then v0).

Side note: I tried this and got 3*v0. This is not the right answer.

Solutions

Expert Solution

The collision between the upper and the lower ball is perfectly elastically, so we know that the total kinetic energy and the total linear momentum of the system is conserved.

The upper ball has half the mass of the lower ball so,

  

Now, apply conservation of total linear momentum of the system,

inserting eq. (1) into (2), we obtain


Related Solutions

Ball A has a mass of 4kg and is initially moving at 5m/s. Balls B has...
Ball A has a mass of 4kg and is initially moving at 5m/s. Balls B has a mass of 3kg and is moving at -4m/s. Ball A collides with Ball B head on. After the collision, Ball A is moving at -3m/s, what is the velocity of Ball B is moving at?
Two balls collide elastically. Ball A has a mass of 3.00 kg and moves to the...
Two balls collide elastically. Ball A has a mass of 3.00 kg and moves to the right at 2.00 m/s. Ball B has a mass of 1.29 kg, and moves to the left, also at 2.00 m/s.The balls collide head-on. 1) Find the speed of Ball A after the collision. 2) Find the speed of Ball B after the collision. 3) Find the impulse delivered to Ball A during the collision. 4)Find the impulse delivered to Ball B during the...
Two balls collide elastically. Ball A has a mass of 3.00 kg and moves to the...
Two balls collide elastically. Ball A has a mass of 3.00 kg and moves to the right at 2.00 m/s. Ball B has a mass of 1.29 kg, and moves to the left, also at 2.00 m/s. The balls collide head-on. A) Find the speed of Ball A after the collision. B) Find the speed of Ball B after the collision. C) Find the impulse delivered to Ball A during the collision. D) Find the impulse delivered to Ball B...
Que1.Consider two balls of identical mass. If ball 1 is moving to the right towards stationary...
Que1.Consider two balls of identical mass. If ball 1 is moving to the right towards stationary ball 2 at 1.0 m/s and the two balls collide elastically, what will the final velocities of both balls be? (Hint: consider this simulation.) Que 2.If the same two balls again undergo a collision, but this time the collision is inelastic, what will the final velocities of both balls be? Que 3.What are the conditions for elastic and inelastic collisions? Que 4.Explain how the...
Q1. Consider a pot containing balls. Each ball has a number painted on it with the...
Q1. Consider a pot containing balls. Each ball has a number painted on it with the number ranging from 1 to 9. For 1<=n<=9 there are n balls with the number n painted on it. For each number i where i lies between 1 and 9, write down the probability that a ball drawn at random from the pot has the number i painted on it. Q2) Put 3 balls into 3 boxes randomly. Find 1) Probability that there is...
A bag contains 8 red balls and some white balls. If the probability of drawing a white ball is half of the probability of drawing a red ball then find the number of white balls in the bag.
A bag contains 8 red balls and some white balls. If the probability of drawing a white ball is half of the probability of drawing a red ball then find the number of white balls in the bag.
A bouncy rubber ball and a wet lump of clay, both of mass m, are thrown...
A bouncy rubber ball and a wet lump of clay, both of mass m, are thrown at a wall. Both strike the wall at speed v, but although the ball bounces off with no loss of speed, the clay sticks. What are the changes in momentum of the clay and ball, respectively? 
Two balls are dropped simultaneously from the same height. Ball A has three times the mass...
Two balls are dropped simultaneously from the same height. Ball A has three times the mass of Ball B. Assume air resistance is negligible. 1) Which combination of statements is most accurate? [Enter your answer as a string of the letter options you believe are correct. For instance, if you think options A, D, and E are correct, then enter "ADE". NOTE: There are only 5 tries for this problem.] A) The KE of both balls is the same throughout...
Two billiard balls with the same mass m move in the direction of one another. Ball...
Two billiard balls with the same mass m move in the direction of one another. Ball one travels in the positive x-direction with a speed of V1i, and ball two travels in the negative x-direction with a speed of V2i. The two balls collide elastically, and both balls change direction after collision. If the initial speeds of the balls were v1i=2.0m/s and v2i =1.0m/s, what would be the final speed and direction of ball two, v2f, in m/s?    Thank...
Consider a cricket ball and a tennis ball (each with the same mass). If you drop...
Consider a cricket ball and a tennis ball (each with the same mass). If you drop the tennis ball and cricket ball from the same height (ignore air resistance), explain why it hurts more when the cricket ball lands on your foot compared to the tennis ball.
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT