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11) When a ball undergoes a one-dimensional elastic collision with a wall, the v

ID: 1793334 • Letter: 1

Question

11) When a ball undergoes a one-dimensional elastic collision with a wall, the velocity of the ball is reversed while the wall remains stationary. Explain why this does not violate conservation of momentum 12) In space there is nothing for the rocket to "push against" so how does it accelerate? 13) In the two-dimensional elastic collision of a particle with a stationary particle that has the same mass, the trajectories of the two particles after the collision are at right angles to each other. Explain why this should be so. 14) Identical forces act for the same length of time on two different masses. The change in momentum of the smaller mass is A) equal to the change in momentum of the larger mass. B) larger than the change in momentum of the larger mass. C) zero. D) smaller than the change in momentum of the larger mass, but not zero. E) There is not enough information to answer the question. 15) A ping-pong ball moving east at a speed of 4 m/s, collides with a stationary bowling ball. The Ping-Pong ball bounces back to the west, and the bowling ball moves very slowly to the east. Which object experiences the greater magnitude impulse during the collision? A) the bowling ball B) Neither, both experienced the same magnitude impulse C) the Ping-Pong ball D) It's impossible to tell since the actual mass values are not given E) It's impossible to tell since the velocities after the collision are unknown.

Explanation / Answer

13, We consider the wall to be stationary with respect to earth in an elastic collision because we just don't notice it. When a ball bounces back off a wall , its momentum has changed by 2mv. To conserve this momentum, the momentum of wall must have changed by 2mv , we don't see any change because of the excessive size of earth as compared to a ball.

13. In an elastic collision, both kinetic energy and momentum is conserved. Now if both the masses are same, all the mass terms will cancel out eventually leaving only velocity terms. The dot product of final velocity of both masses equals to zero which means that they move at right angles.

15. What is impusle ? It is change in mometum. Now in collsions, only acceleration and velocity vector changes.If the provided system is an isolated one, the momentum change for both should be same.  

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