Force and displacement are vectors. How is work defined in terms of these vectors?Tinkylo said: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.
Yes. So, use that.Tinkylo said:work is the dot product of the vector of force snd displacement.
Yes, as long as the units are compatible and can be converted into the same unit. For example, you can combine meters and kilograms in the work equation, but not meters and seconds.
No, work and energy are two separate concepts and cannot be combined in the work equation. Work is the transfer of energy, but they have different units and cannot be directly added or subtracted.
Yes, you can combine positive and negative values in the work equation as long as they represent the same type of energy. However, the resulting value may be positive, negative, or zero depending on the direction of the force and displacement.
No, the work equation should only include components that are directly related to work, such as force and displacement. Combining components from different equations may result in an incorrect calculation.
Yes, you can combine components with different variables in the work equation as long as they represent the same type of energy. For example, you can combine force and displacement, even if one is represented by "F" and the other by "d". Just make sure to use the correct units for each variable.