After given a push, a 1.0-kg box slides down a slope that is inclined by 30◦ relative to the horizontal. There is a spring with a spring constant of 1000 N/m attached to the bottom of the slope, as shown. The surface of the slope is rough and has a coefficient of kinetic friction of 0.15. After being pushed, the box has an initial velocity v0, and it then slides 1.2 m down the slope before hitting the spring, where it compresses the spring by 25 cm. Find the work done on the box by gravity, friction, and the spring. Also, find the initial speed of the box.
After given a push, a 1.0-kg box slides down a slope that is inclined by 30◦ relative to the horizontal. There is
a spring with a spring constant of 1000 N/m attached to the bottom of the slope, as shown. The surface of
the slope is rough and has a coefficient of kinetic friction of 0.15. After being pushed, the box has an initial
velocity v0, and it then slides 1.2 m down the slope before hitting the spring, where it compresses the spring
by 25 cm. Find the work done on the box by gravity, friction, and the spring. Also, find the initial speed of
the box.
Given that,
mass of the block is
the angle of the inclined plane with horizontal is
the spring constant of the spring is
coefficient of kinetic friction is
the initial velocity of the block
distance traveled by the block just before hitting the spring is
compression of the spring is
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