A 2100 kg block of granite is pulled up an incline that has an angle of inclinat

Question

A 2100 kg block of granite is pulled up an incline that has an angle of inclination = 33 ° with a constant speed of 2.23 m/s by a steam winch (see Figure). The coefficient of kinetic friction between the block and the incline is 0.24. How much power must be supplied by the winch?

A 2100 kg block of granite is pulled up an incline that has an angle of inclination = 33 degree with a constant speed of 2.23 m/s by a steam winch (see Figure). The coefficient of kinetic friction between the block and the incline is 0.24. How much power must be supplied by the winch?

Explanation / Answer

Wwinch = mgx (sin q + mkcos q)

P = Wwinch = mgv (sin q + mkcos q),

P= 2100*9.8*2.23(sin 33 + (0.24) cos 33)

P=34232.80 W

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