Crate Pushed up an Incline problem

[Manda_24]

Homework Statement

A crate of mass 27 kg is pushed up a ramp by a person, as shown in the figure below. Assume the coefficient of kinetic friction between the crate and the ramp is .24. Calculate the work done by the person in pushing the crate a distance of 30 m as measured along the ramp. Assume that the crate moves with at a constant velocity.

Homework Equations

The Attempt at a Solution

I've tried a few different ways and I know something is missing but I can't quite figure out what. Here's what I've tried.

1. (27kg)(9.8)(sin30)=

2. (.24µ_k)(27kg)(9.8)(cos30)=

3. (.24µ_k(27kg)(cos30)(30m)=

 

[rl.bhat]

Hi Manda 24, welcome to PF.

The cart will move with uniform velocity when it overcomes the forces given by 1. and 2. in your attempt.
To find the work done, add 1 and 2 and multiply by the displacement.

 

[Manda_24]

Thanks, that helped.