Perfectly Elastic Collisions PDF

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Practice – Perfectly Elastic Collisions 1.

Two shuffleboard disks of equal mass, one orange and the other yellow, are involved in an elastic, glancing collision. The yellow disk is initially at rest and is struck by the orange disk moving with a speed of 5.00 m/s. After the collision, the orange disk moves along a direction that makes an angle of 37° with its initial motion. The velocities of the two disks are perpendicular after the collision. Determine the final speed of each disk. (3.99 m/s, 3.01 m/s)

2.

A billiard ball moving at 5.00 m/s strikes a stationary ball of the same mass. After the collision, the first ball moves at 4.33 m/s, at an angle of 30° with respect to the original line of motion. Assuming an elastic collision (and ignoring friction and rotational motion), find the struck ball’s velocity after the collision. (2.5 m/s @ 60° S of E)

3.

Two billiard balls of equal mass move at right angles and meet at the origin of an xy coordinate system. Ball A is moving in the +y direction at 2 m/s, and ball B is moving in the +x direction with a speed of 3.7 m/s. After the collision, assumed elastic, ball B is moving along the positive y axis. What is the final direction of ball A and what are their final speeds?

4.

A ball of mass m makes a head-on elastic collision with a second ball (at rest) and rebounds in the opposite direction with a speed equal to one-fourth its original 5  speed. What is the mass of the second ball?  m  3 

5.

A block of mass 2.2 kg slides down a 30° incline which is 3.60 m high. At the bottom, it strikes a block of mass 7 kg which is at rest on a horizontal surface. (Assume a smooth transition at the bottom of the incline.) If the collision is elastic, and friction can be ignored, determine (a) the speeds of the two blocks after the collision, and (b) how far back up the incline the smaller mass will go. (4.38 m/s, 4.02 m/s; 1.96 m)...