Question

A 2.0 kg block is pushed 1.0 m at a constant velocity up a vertical wall by a constant force
applied at an angle of 27.0
◦ with the horizontal, as shown in the figure.
The acceleration of gravity is 9.81 m/s
If the coefficient of kinetic friction between
the block and the wall is 0.30, find
a) the work done by the force on the block.

b) the work done by gravity on the block.

c) the magnitude of the normal force between
the block and the wall.
.

Answer 1

Answer:

(a) The work done by frictional force is 7.0 J

(b) The work done by gravity is 8.9 J.

(c) The magnitude of the normal force on the block and the wall is 17.5 N.

The given parameters;

   mass of the block, m = 2 kg

   distance moved by the block, d = 1.0 m

   angle of inclination of the force, θ = 27⁰

   coefficient of friction, μ = 0.4

The normal force on the block is calculated as follows;

The frictional force is calculated as;

The work done by frictional force is calculated as follows;

The work done by gravity is calculated as follows;

The magnitude of the normal force on the block and the wall

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