Work in two dimensions

[Tinkylo]

Homework Statement:

If you apply a force F with the x component =5.33 N and the y component = 4.42 N on a car which moves along the x-axis by a displacement of 3.4 m. What is the work done on the car by your force in J?

Relevant Equations:

work= F x S

I don't know how to combine the x,y components with the equation of work.

 

[PeroK]

Homework Statement:: If you apply a force F with the x component =5.33 N and the y component = 4.42 N on a car which moves along the x-axis by a displacement of 3.4 m. What is the work done on the car by your force in J?
Relevant Equations:: work= F x S

I don't know how to combine the x,y components with the equation of work.

Force and displacement are vectors. How is work defined in terms of these vectors?

 

[Tinkylo]

work is the dot product of the vector of force snd displacement.

 

[PeroK]

work is the dot product of the vector of force snd displacement.

Yes. So, use that.

 

[Tinkylo]

That's mean the expression will be (5.33Nx3.4m)+(4.42N x0m)?

 

[Tinkylo]

Thx a lot!