In the figure, determine the character of the collision. The masses of the block

Question

In the figure, determine the character of the collision. The masses of the blocks, and the velocities before and after are given, and no other unbalanced forces act on these blocks. The collision is Choose one answer. not possible because momentum is not conserved perfectly elastic. completely inelastic. partially inelastic. A box 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 but instead compress the spring a distance of 2x Choose one answer. the box will go the box will go the box will go The box will reach the same maximum height on the incline.

Explanation / Answer

(a) Not possible because momentum is not conserved

Initial momentum = 9x2.1 - 3x0.6 = 17.1

Final momentum = 9x1.5 + 3x1.5 = 18

As momentum is not conserved,this collision is not possible

(a) the box will go up four times as high as before

Initially ,

1/2 kx2 = mgh1

i.e h1= kx2/2mg

later,

1/2k(2x)2 = mgh2

i.e h2 = 4kx2/2mg = 4h1

Therefore, The box will go up four times as high as before

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