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## Homework Statement

A skier of mass 69.5 kg is pulled up a slope by a motor-driven cable.

a) How much work is required to pull him a distance of 59.1 m up a 30.1° slope (assumed frictionless) at a constant speed of 2.07 m/s?

## The Attempt at a Solution

I started out this problem by finding out what that force of gravity parallel to the slope would be.

mgsin(30.1)=341.57 N

Then I figured I would find the total negative work that would be done for the whole slope so I multiplied that by 59.1m to get 20.186 kJ.

The thing I am not sure how to figure out is how much work is required to pull him up at 2.07 m/s. Because anything greater than 20.186kJ would just pull him up, but not necessarily at 2.07 m/s.

Also this answer alone counts as the right answer, but it can't be exactly right because its hasn't taken into account the desired velocity right?