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A crate of mass 12.5 kg is pulled up a rough incline with an initial speed of 1.50 m/s. The pulling force is 100 N parallel to the incline, which makes an angle of 21.0° with the horizontal. The coefficient of kinetic friction is 0.400, and the crate is pulled 5.20 m.

(a) How much work is done by gravity?

J

(b) How much mechanical energy is lost due to friction?

J

(c) How much work is done by the 100 N force?

J

(d) What is the change in kinetic energy of the crate?

J

(e) What is the speed of the crate after being pulled 5.20 m?

m/s

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