A mass m = 48 g is suspended from a spring with spring constant k = 4.0 N/m.
1. Determine the force acting on the mass when it is displaced 7 cm from its equilibrium position. If the mass is then released, what is the period of oscillation? What is the frequency?
2. Mary observes damped oscillations of a glider on an air track. She observed that the amplitude decreased to 30% of its original value after 12 seconds. What is the decay constant for the motion of the glider?

Question

A mass m = 48 g is suspended from a spring with spring constant k = 4.0 N/m.
1. Determine the force acting on the mass when it is displaced 7 cm from its equilibrium position. If the mass is then released, what is the period of oscillation? What is the frequency?
2. Mary observes damped oscillations of a glider on an air track. She observed that the amplitude decreased to 30% of its original value after 12 seconds. What is the decay constant for the motion of the glider?

anonymous · Answer

Use Hooke's Law, 
F = kx 
F is force, k is spring constant, x is displacement. Careful with units on this one, using Newtons means kg and m are needed for mass and displacement..

anonymous · Answer

and for time period, $$T = 2 \pi \sqrt{\frac{ m }{ k }}$$

anonymous · Answer

And of course $$f = \frac{ 1 }{ T }$$

anonymous · Answer

reported abusive

anonymous · Answer

their username..?!

anonymous · Answer

thanks! :D