Question

A 50.0-g object connected to a spring with a force constant of 100.0 N/m oscillates on a horizontal frictionless surface with an amplitude of 8.00 cm.

a) What is the period (in seconds) and frequency of its motion?

b) Assuming that the object's equilibrium position (i.e. when the spring is unstretched) is designated as x = 0, and that at t = 0 the object is located at maximum amplitude, x(t) = A cos (ωt), describes the motion. What is the magnitude acceleration of the object at t = 2.0 s?

c) What is the speed of the object when its position is -1.50 cm?

d) what is the total energy of the system when x = -1.50 cm?

Please show all work

Answer 1