A spring of negligible mass is compressed between two masses on a frictionless t

Question

A spring of negligible mass is compressed between two masses on a frictionless table with sloping ramps at each end. The masses are released simultaneously. The masses have the same volume, but the density of M1 is less than that of M2. Select the appropriate option for each statement. MI M2 Greater than ¢ The final height up the ramp reached by M1 is the height reached by M2 Less than The momentum of M1 is the momentum of M2 once they both lose contact with the spring Equal toThe force exerted by the spring on M1 is . the force it exerts on M2. Greater than ¢ The kinetic energy of M2 is 'the kinetic energy of M1 once they both lose contact with the spring. Greater thanThe speed of Mi is.. the speed of M2 once they both lose contact with the spring. Equal toThe duration of the force exerted by the spring on M2 is... the time the force acts on M1

Explanation / Answer

1)

Equal, force will always be equal in this case and it is independent of the object it is acting on.

2)

Less, because an equal force is being applied, the smaller mass will have a greater velocity.

3)

Equal, since the force is the same, and the higher velocity of the lower mass is proportional the the higher mass with the lower velocity given by the equation momentum = mass x velocity

4)

Equal, since energy in the spring is converted to kinetic, both will be the same.

5)

Less and we can see this by the force equation f = ma, and since force exerted on both is equal, we will see that the acceleration of the larger mass is slower, hence a lower height is reached.

6)

Equal, because forces are equal.

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