how can you determine the amount of work done on an object

Question

anonymous · Answer

If the force is non varying i.e constant, you can use the formula:

$$W=Fd \cos \theta$$

where theta is the angle between the applied force and the displacement, d, of the object. If there is no angle between the force and displacement, then theta is zero therefore cos theta is just one.

If the force is not constant, like that of a spring's, work done is the integral of the Force with respect to displacement:

$$W=\int\limits_{}^{}F(x) dx$$

anonymous · Answer

the amount of work done on an object is the change in the kinetic energy of that body.

work done=force applied x displacement of point of application of force

theeric · Answer

I agree, and I'll add the vector vector version:
$W=\vec F\times\vec d$
(cross product)

anonymous · Answer

I thought it was dot/scalar product not cross product?