Review the work-energy theorem and apply it to a simple problem.

If you push a particle of mass in the direction in which it is already moving, you expect the particle's speed to increase. If you push with a constant force , then the particle will accelerate with acceleration (from Newton's 2nd law).

What is the final speed of the particle?
Express your answer in terms of Kf and M.

Question

Review the work-energy theorem and apply it to a simple problem.

If you push a particle of mass  in the direction in which it is already moving, you expect the particle's speed to increase. If you push with a constant force , then the particle will accelerate with acceleration  (from Newton's 2nd law).

What is the final speed of the particle?
Express your answer in terms of  Kf and M.

anonymous · Answer

then the __velocity___ of the particle will increase by an amount at. 

then the __energy___ of the particle will increase by FD.

Kf = Ki + W

Kf = (1/2)*M*Vi^2 + F*D

Vf^2 = 2*Kf/M
Vf = sqrt(2*Kf/M)