Question

A skier of mass 61 kg is pulled up a slope by a motor-driven cable. (a) How much work is required to pull him 55 m up a 30° slope (assumed frictionless) at a constant speed of 2.4 m/s?

Answer 1

The work required to pull the skier up the slope is 14805 J.

Step-by-step explanation:

To calculate the work required to pull the skier up the slope, we can use the formula:

Work = force x distance x cos(angle)

The force can be calculated using Newton's second law: F = mgsin(angle), where m is the mass of the skier, g is the acceleration due to gravity, and angle is the slope angle.

Substituting the given values into the formulas, the work required to pull the skier up the slope is (61 kg)(9.8 m/s^2)(55 m)(cos(30°)) = 14805 J.