a car was rolled up an inclined plane. it required a force of 20 kilograms to pull the car up the 50 meter length ramp to a final height of 10 meters. the car weighs 100 kilograms. what was the work accomplished using the ramp?

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?