A.)After a completely inelastic collision, two objects of thesame mass and same

Question

A.)After a completely inelastic collision, two objects of thesame mass and same initial speed are found to move away together at0.60 times their initial speed. Find the angle between the initialvelocities of the objects.
B.)A 49.8 kg swimmer is standing on a stationary 187 kgfloating raft. The swimmer then runs off the raft horizontally witha velocity of +4.45 m/s relative to the shore. Calculate themagnitude of the recoil velocity that the raft would have if therewere no friction and resistance due to the water. C.) A fireworks rocket is moving at a speed of v= 47.8 m/s. The rocket suddenly breaks into two pieces of equalmass, which fly off with velocities v1 at anangle of theta1 = 31.2° and v2at an angle of theta2 = 58.8°.What is the magnitudeof v1? Figure for question C:

Explanation / Answer

B.) Pi=(mswimmer+mraft)vi=0
Pf=mswimmervswimmer+mraftvraft
Momentum is conserved so we havePf=Pi=0
0=(49kg)(4.45 m/s) + (187 kg)vraft
solve for vraft and you getvraft= - 1.17 m/s

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