A spring with a force constant of 2.00 N/m is attached to a mass of 75.0 g. The system has a small amount of damping. If the amplitude of the oscillations decreases from 10.0 mm to 5.00 mm in 15.0 s, what is the magnitude of the damping constant?
A) 0.00693 Ns/m
B) 0.0462 Ns/m
C) 0.00762 Ns/m
D) 0.0100 Ns/m
E) 0.00857 Ns/m

Question

Quizplus · Accepted Answer

The damping constant can be calculated using the formula for damped oscillations: A(t) = A_0 * e^(-bt/2m). Solving for b using the given amplitudes and time, we find b = 0.00693 Ns/m.

A Spring with a Force Constant of 2