Question

In: Physics

Two billiard balls are initially traveling toward each other at speeds of 1.20 m/s for ball...

Two billiard balls are initially traveling toward each other at speeds of 1.20 m/s for ball 1 and 4.65 m/s for ball 2. The balls undergo an elastic, head-on collision. Find their final velocities.
ball 1

magnitude
direction	---Select--- in the same direction it was initially going. opposite the direction it was initially going.

ball 2

magnitude
direction	---Select--- in the same direction it was initially going. opposite the direction it was initially going.

Expert Solution

The two billiard balls have the same mass .

Initial velocity of ball 1 is ( going to the right)

Initial velocity of ball 2 is (going to left) ( negative sign indicates the ball 2 is moving in opposite direction to ball 1)

Conserving the momentum of two balls before and after collision,

--------(1)

The balls undergo elastic collision, coefficient of restitution

---(2)

Adding (1) and (2) (going to right) , (going to left)

Ball 1:

Magnitude of final velocity

Direction is Opposite the direction it was initially going.

Ball 2:

Magnitude of final velocity

Direction is Opposite the direction it was initially going.

genius_generous answered 3 years ago

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