A crate of mass 12.0 kg is pulled up a rough incline with an initial speed of 2.50 m s-1. The push force is 150 N parallel to the incline, which makes an angle of 20, with the horizontal. The coefficient of kinetic friction is 0.3, and the crate is pulled 5.0 m.
i) Draw the free body diagram of the crate.
ii) Determine the normal force acting on the crate.
iii) Determine the magnitude of the friction force acting on the crate.
iv) Determine the work done by the gravitational force on the crate.
v) Determine the increase in internal energy of the crate–incline system owing to friction.
vi) Determine the work done by the 150 N force acting on the crate.
vii) Compute the change in kinetic energy of the crate.
viii) Compute the speed of the crate after being pulled 5.0 m up the incline.
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