Determine Total Work done by the Force

Northbysouth

1. 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.

2. Homework Equations

3. 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.

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consciousness

1. 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.

2. Homework Equations

3. 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.

"Determine Total Work done by the Force"

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