Question

In: Physics

A ball of mass m makes a head-on elastic collision with a second ball (at rest)...

A ball of mass m makes a head-on elastic collision with a second ball (at rest) and rebounds with a speed equal to 0.400 its original speed.

Part A What is the mass of the second ball?

Expert Solution

Mass of the first ball = m

Mass of the second ball = M

Initial velocity of the first ball = V1

Initial velocity of the second ball = V2 = 0 m/s (At rest)

The first ball rebounds with a speed equal to 0.4 it's original speed.

Velocity of the first ball after the collision = V3 = -0.4V1 (Negative as it rebounds so travels in the opposite direction)

Velocity of the second ball after the collision = V4

The collision is elastic.

Coefficient of restitution = e = 1

By conservation of linear momentum,

A) Mass of the second ball = 2.33m

genius_generous answered 3 months ago

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