A object-spring system oscillates with an amplitude of 3.8 cm. If the spring constant is 210 N/m and object has a mass of 0.50 kg, find the maximum speed of the object.

Question

I already have the mechanical energy of the system. How do I find the maximum speed?

Answer 1

The mechanical energy is (1/2)k X^2, where X is the amplitude. That equals the maximum kinetic energy, (1/2) m V^2. V is the maximum speed.

That means

M V^2 = k X^2
V = X sqrt(k/M)

k is the spring constant; M is the mass.

Answer 2

thanks