# A skier of mass 64 kg is pulled a slope by a motor-driven cable. a) How much work is required to...

## Question:

A skier of mass 64 kg is pulled a slope by a motor-driven cable.

a) How much work is required to pull him 85 m up a 30° slope (assumed frictionless) at a constant speed of 3.2 m/s?

Answer in kJ.

b) What power (expressed in hp) must a motor have to perform this task?

## Work and power:

Work is the total amount of energy that must be supplied to a body to perform a specific task. Power is the rate at which work must be done so as to keep up with the task at hand.

## Answer and Explanation:

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Firstly, Work= {eq}W=Fd*cos(\theta_{rel}) {/eq}

Where Theta relative is the angle between the force vector and the displacement vector which is zero...

See full answer below.

#### Learn more about this topic: External Force: Definition & Examples

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Chapter 1 / Lesson 22
32K

In this lesson, we are going to learn about external forces and their effects on the body to which they are applied. We are also going to distinguish external forces from internal forces.