In any collision between two objects, what is true about the total momentum and

Question

In any collision between two objects, what is true about the total momentum and the total kinetic energy of the system of two objects? A trolley is given an initial push along a horizontal floor to get it moving. The trolley then travels forward along the floor, gradually slowing. What is true of the horizontal forcefs) on the trolley while it is slowing? There is a forward force and a backward force, but the forward force is larger. There is a forward force and a backward force, but the backward force is larger. There is only a forward force, which diminishes with time. There is only a backward force. A 1000 kg safe is 2.0 m above a heavy-duty spring when the rope holding the safe breaks. The safe hits the spring and compresses it 50 cm. What is the spring constant of the spring? Write out your equations and reasoning clearly

Explanation / Answer

1)    total momentum -   always stays the same

       total kinetic energy - can change

2)     There is only a backward force   .

    option D) is correct .

3)         loss in potential energy = gain in kinetic energy = work done on spring

           Here, 1000 * 9.8 * 2   =   1/2 * K * (0.5)2

     =>    spring constant =    156800 N/m

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