# 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.

Homework Helper
Gold Member
2022 Award
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.

Homework Helper
Gold Member
2022 Award
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)?

• PeroK
Tinkylo
Thx a lot!