Question

9 the only force acting on a 2.0 kg canister that is moving in an xy plane has a magnitude of 5.0 n. the canister initially has a velocity of 4.0 m/s in the positive x direction and some time later has a velocity of 6.0 m/s in the positive y direction. how much work is done on the canister by the 5.0 n force during this time?

Answer 1

We don't need to know the magnitude of the force.

The canister's initial kinetic energy is (1/2) M V₀² = 16 joules.

Its final kinetic energy is  (1/2) M V₁² = 36 joules.

Its kinetic energy has grown by 20 joules.  The additional energy
must have come from the 5.0 N force, since that's the only force
acting on the canister.