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A 1.5 kg block of wood is launched up a wooden ramp that has a 40-degree...

A 1.5 kg block of wood is launched up a wooden ramp that has a 40-degree incline. The initial speed of the block is 12 m/s. The coefficient of static friction is 0.4 and the coefficient of kinetic friction is 0.20. Ignore air resistance.
A) Draw the incline with the block at the bottom of the ramp and at the top of its slide. Label with a coordinate system. List all known quantities.
B) Draw free body diagrams for the block sliding up the incline and down the incline. Label all forces and acceleration.
C) What is the normal force on the block?
D) What is the acceleration as the block moves up the ramp?
E) How far up the ramp does the block travel?
F) What is the static frictional force on the block when it stops? Is it enough to hold the block there?

Solutions

Expert Solution

Here first we identify forces acting on block and then draw Free body diagram and finally apply Newton's second law.

Frictional force is not sufficient to hold the block because component of gravity along the incline is greater than friction force.

genius_generous answered 1 hour ago
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