Question

In: Physics

Ball 1 with mass 1 kg moves at constant velocity to the right at 3.0 m/s,...

Ball 1 with mass 1 kg moves at constant velocity to the right at 3.0 m/s,

towards Ball 2 with mass 2 kg moving to the right at 1.5 m/s. 1 and 2

collide elastically. What is the final velocity of 1 and 2?

Expert Solution

In an elastic collision, the linear momentum and the energy both are conserved.

The initial momentum of the system is

The initial energy of the system is

The final momentum of the system is

The final energy of the system is

The conservation of momentum and energy gives us

Putting the value of v1

The solutions to this quadratic equation are

and

The later solution (v2 = 1.5) is its initial value. So, the solution we are interested is v2 = 2.5 m/s.

So, the solution is

Putting this value in equation

So, the answer is

genius_generous answered 6 months ago

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