Just as it moves free of the spring, thekinetic energy of the box will be twice

Question

Just as it moves free of the spring, thekinetic energy of the box will be twice as great as before. Just as it moves free of the spring, the speedof the box will be times as great as before. The box will go up the incline twice as high asbefore. All of the above choices are correct. None of the above choices is correct A box of mass m is pressed against (but is not attachedto) an ideal spring of force constant k, compressing thespring a distance x. After it is released, the box slidesup a frictionless incline and eventually stops. If we repeatthis experiment but instead use a spring having force constant2k: Just as it moves free of the spring, thekinetic energy of the box will be twice as great as before. Just as it moves free of the spring, the speedof the box will be Root(2) times as great as before. The box will go up the incline twice as high asbefore. All of the above choices are correct. None of the above choices is correct

Explanation / Answer

According to conservation of energy we have       The gain in KE = loss in PE ==>         KE =mgh = 0.5 kx2      If k = 2k then            KE = 0.5 mv2= mgh = 0.5 * 2k x2 =2 * [ 0.5kx2 ] So the option is All of the above choicesare correct.

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