Next replace particle 1 by a sledge hammer with mass m1 = 10 kg, particle 2 by a golf ball with a mass m2 = 10 g. Consider the elastic head-on collision between the hammer and the ball. The initial velocity of the sledge hammer is v1, the golf ball is initially at rest, v2 = 0 m/s. 1 2 v1 Estimate the approximate final speed v ′ 2 of the golf ball.

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?