Question

In: Physics

A 4.5 kg box slides down a 4.2-m -high frictionless hill, starting from rest, across a...

A 4.5 kg box slides down a 4.2-m -high frictionless hill, starting from rest, across a 2.3-m -wide horizontal surface, then hits a horizontal spring with spring constant 480 N/m . The other end of the spring is anchored against a wall. The ground under the spring is frictionless, but the 2.3-m-long horizontal surface is rough. The coefficient of kinetic friction of the box on this surface is 0.26.

What is the speed of the box just before hitting the spring? How far is the spring compressed? Including the first crossing, how many complete trips will the box make across the rough surface before coming to rest?

Solutions

Expert Solution

When the box reaches the bottom of the hill ,all the potential energy is converted to kinetic energy

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When the box slide across the horizontal surface to hit the spring, some of the kinetic energy is lost due to friction

ANSWER:

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Whatever Kinetic energy is left is used to compress the spring

ANSWER:

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Kinetic energy at bottom of hill ,

If this energy is used to slide across the frictional surface ,Total distance that can be travelled is

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No of Trips = d/2.3

ANSWER: 7 Trips

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genius_generous answered 1 year ago

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