Determine Total Work done by the Force

[Northbysouth]

Homework Statement

The collar moves on a curved track from position A to position B, and slides with neglible friction. A force F = 10 N acts upon the collar from position A to position B, and the direction of the force is always oriented θ = 35° with a positive x-axis as shown. Determine the total work done by the force F on the collar from position A to position B.

Homework Equations

The Attempt at a Solution

I tried finding the work done by the forces in the x and y directions.

In the x direction there's:

0.175*10cos(35) = 1.433 J

0.1*10sin(35) = 0.574 J

I then tried taking the magnitude of this, but the answer should be 8.60 J, which i obviously won't get.

Any suggestions would be greatly appreciated.

 

[consciousness]

Homework Statement

The collar moves on a curved track from position A to position B, and slides with neglible friction. A force F = 10 N acts upon the collar from position A to position B, and the direction of the force is always oriented θ = 35° with a positive x-axis as shown. Determine the total work done by the force F on the collar from position A to position B.

Homework Equations

The Attempt at a Solution

I tried finding the work done by the forces in the x and y directions.

In the x direction there's:

0.175*10cos(35) = 1.433 J

0.1*10sin(35) = 0.574 J

I then tried taking the magnitude of this, but the answer should be 8.60 J, which i obviously won't get.

Any suggestions would be greatly appreciated.

What you have done is basically correct but what about the sign of of the work done in the vertical direction ? I think the answer would be 0.86 J.