2) Abox of mass m is pressed against (but is not attached to an ideal spring of

Question

2) Abox of mass m is pressed against (but is not attached to an ideal spring of force constant k and negligible mass, compressing the spring a distance x. After it is released, the box slides up a frictionless incline as shown in the figure and eventually stops. If we repeat this experiment with a box of mass 2m Smooth Smooth A) just as it moves free of the spring, the lighter box will be moving twice as fast as the heavier box. both will have the same speed as they move free of the spring. C) both boxes will reach the same maximum height on the incline. the lighter box will go twice as high up the incline as the heavier box. E) just as it moves free of the spring, the heavier box will have twice as much kinetic energy as the lighter box.

Explanation / Answer

Here,    for box with mass 2m

=> 1/2 * k * x2 = 1/2 * 2m * Vh2

=>      Vh = Vl/sqrt(2)                 

Here, Vh and Vl are the velocities of heavier and lighter box

=>    the lighter box will go twice as high up the incline as the heavier box .

=> option (D) is correct .

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