As shown In the figure below, a box of mass m = 12.6 kg is released from rest (a

Question

As shown In the figure below, a box of mass m = 12.6 kg is released from rest (at position A) at the top of a 30.0* frictionless incline. The box slides a distance d = 3.10 m down the incline before it encounters (at position B) a spring and compresses It an amount x _C = 0.260 m (to point C) before coming momentarily to rest. Using energy content, determine the following. speed of the box at position B spring constant the physical quantity that is constant throughout the process kinetic energy elastic potential energy gravitational potential energy total energy

Explanation / Answer

part b )

from starting to final postion

PE = spring energy

mgh = 1/2*kx^2

h = (d+x) sin30 = (3.1 + 0.260) sin30 = 1.68m

k = 2mgh/x^2

k = 6137.4675 N/m

part c )

total energy

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