Problem: The motion of a particle is given by x(t)=(25cm)cos(15t), where t is in s.What is the first time at which the kinetic energy is twice the potential energy?

FREE Expert Solution

General wave solution:

x=A cos (ωt)

Potential energy:

U=12kx2

The total mechanical energy of the particle:

E=KE+U

Total energy, E, of the system is equal to maximum potential energy, Umax = (1/2)kA2.

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Problem Details

The motion of a particle is given by x(t)=(25cm)cos(15t), where t is in s.

What is the first time at which the kinetic energy is twice the potential energy?

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