Does the work-energy theorem apply to the sum of multiple forces?

[dlacombe13]

Very simple question. So I am on a homework problem, and I want to make sure that I am using this theorem correctly. My book states that the Work-Kinetic Energy Theorem is:

W=ΔK

Now the solution to this problem involved multiple forces and thus each force is doing work. So my question is, is it legal to say that:

∑W = ΔK

 

[PeroK]

Very simple question. So I am on a homework problem, and I want to make sure that I am using this theorem correctly. My book states that the Work-Kinetic Energy Theorem is:

W=ΔK

Now the solution to this problem involved multiple forces and thus each force is doing work. So my question is, is it legal to say that:

∑W = ΔK

Yes. Precisely.

 

[dlacombe13]

Thank you, the problem makes complete sense to me now!

 

[jtbell]

In Newton's second law, F = ma, F is always the net force acting on an object. Therefore, in the work-energy theorem, W is always the net work done on the object.