A billiard ball rolling across a table to the right at 1.4 m/s makes a head-on e

Question

A billiard ball rolling across a table to the right at 1.4 m/s makes a head-on elastic collision with an identical ball. The mass of a billiard ball is 34 g.

If the second ball is initially at rest, what is the velocity of the first ball after the collision?

If the second ball is initially at rest, what is the velocity of the second ball after the collision?

If the second ball is initially moving to the left with a velocity of -0.7 m/s, what is the velocity of the first ball after the collision?

If the second ball is initially moving to the left with a velocity of -0.7 m/s, what is the velocity of the second ball after the collision?

Explanation / Answer

If the second ball is initially at rest, what is the velocity of the first ball after the collision?

v = 0

If the second ball is initially at rest, what is the velocity of the second ball after the collision?

v=1.4m/s

If the second ball is initially moving to the left with a velocity of -0.7 m/s, what is the velocity of the first ball after the collision?

v=-0.7m/s

If the second ball is initially moving to the left with a velocity of -0.7 m/s, what is the velocity of the second ball after the collision?

v=1.4m/s

PS: These results are obtained using the law of conservation of momentum and the fact that in an elastic collision the velocity of approach equals the velocity of separation.

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