A worker push a 25 kg crate 1.5 m up a 25 degree incline exerting a force P of 200 N
parallel to the incline. The incline exerts a frictional force of 96 N on the crate. a) Find
the work done by the worker, b) friction and c) by gravity. Find the net Work done on the
crate.

Suppose that a mass of 2 kg is attached a spring whose spring constant is 50. the system is damped such that b = 12 . the mass is set in motion with an initial velocity of -8 m/s at a position 0 meters from equilibrium. set up and solve a differential equation that models this motion. write your solution in the form a cos ( ω t − α ) where α is a positive number. use your solution to fill in the information below: what is the amplitude of the motion? what is the value of ω ? what is the phase shift?