A skier of mass 74.6 kg is pulled up a slope

by a motor-driven cable.
How much work is required to pull the skier
63.3 m up a 39.0◦
slope (assumed to be frictionless)
at a constant speed of 2.0 m/s? The
acceleration of gravity is 9.81 m/s
2
.
Answer in units of J

1 answer

M*g = 74.6kg * 9.8N/kg = 731.1 N. = Wt.
of the skier.

Fp = 731.1*sin39.0 = 460.1 N. = Force
parallel to the incline.

Work = Fp*d = 460.1 * 63.3 = 29,124 J.