Question

In: Physics

A billiard ball of mass mA = 0.400 kg moving with a speed vA,0 = 1.80...

A billiard ball of mass mA = 0.400 kg moving with a speed vA,0 = 1.80 m/s strikes a second ball, initially at rest, of mass mB = 0.500 kg. As a result of the collision, the first ball is deflected off at an angle of 30.0 o with a speed vA = 1.10 m/s.

a) What is the speed vB and angle of deflection θB of ball B? Take the x axis to be the direction of motion of ball A before the collision.

b) Is the collision elastic? You must support your answer with a calculation.

Expert Solution

The initial momentum of the system is

The final momentum of the system is

The conservation of momentum gives us

Component wise

and

PART A:

Above two equations gives us

So, the angle of deflection is

below the x-axis.

Putting this value in

So, the velocity of the second mass is

PART B:

The initial kinetic energy of the system is

The final kinetic energy of the system is

The final energy is not equal to the initial energy. So, the collision is not elastic.

genius_generous answered 2 hours ago

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