A 1600 kg block of granite is pulled up an incline that has an angle of inclination θ = 20 ° with a constant speed of 1.21 m/s by a steam winch (see Figure). The coefficient of kinetic friction between the block and the incline is 0.09. How much power must be supplied by the winch?

Answer 1

M*g = 1600 * 9.8 = 15,680 N.

Fp = 15,680*sin20 = 5363 N.

Fn = 15,680*Cos20 = 14,734 N.

Fk = u*Fn = 0.09 * 14,734 = 1326 N.

Fw-Fp-Fk = M*a = M*0 = 0.
Fw = Fp+Fk = 5363 + 1326 = 6689 N. =
Force of the winch.

Power = Fw * V = 6689 * 1.21 = 8094 J/s.
= 8094 Watts.