Work done on a shopping cart by friction when being pushed

[juju1]

Homework Statement

A grocery cart with mass of 19.3 kg is pushed at constant speed along an aisle by a shopper who exerts a force of 13.1 N on the cart at an angle of 18.3 from the horizontal. The aisle is 15.1 m long. The coefficient of friction is 0.0658.

Find the work done on the cart by friction.

Homework Equations

W=Force x displacement

The Attempt at a Solution

so I tried finding Force, and i did that by multiplying (19.3kg) by gravity (9.8)
and then multiplied that to 0.0658 to get friction force

and then multiplied that by 15.1
and then multiplied that by cos(18.3)

but it was wrong...

 

[jedishrfu]

You should start by drawing a force diagram and labeling what you know.

 

[juju1]

so i drew a diagram, f= Fcos(theta)

so f=12.4
and then multiply that by the distance, 15.1

and final answer is 188 J

 

[haruspex]

so I tried finding Force, and i did that by multiplying (19.3kg) by gravity (9.8)
and then multiplied that to 0.0658 to get friction force

To get the force of kinetic friction, the coefficient should be multiplied by what, exactly?

 

[Chandra Prayaga]

Please upload the diagram.