A 1500 kg block of granite is pulled up an incline that has an angle of inclination of 23 o with a constant speed of 2.03 m/s by a steam winch (see Figure). The coefficient of kinetic friction between the block and the incline is 0.29. How much power must be supplied by the winch?

1 answer

normal force = 1500*9.81*cos 23
so
friction force = .29 *1500 *9.81*cos 23
gravity component down slope = m g sin 23 = 1500*9.81*sin 23
so
force required = 1500*9.81(.29cos 23 + sin 23)
work = force * distance
work/second = Joules/s = watts = 2.03*1500*9.81(.29cos 23 + sin 23)