A 506g mass oscillates with an amplitude of 12.0cm on a spring whose spring constant is 23.0 N/m .

Determine the period.
Determine the maximum speed.
Determine the total energy.

Question

A 506g  mass oscillates with an amplitude of 12.0cm on a spring whose spring constant is 23.0 N/m .

Determine the period.
Determine the maximum speed.
Determine the total energy.

anonymous · Answer

T=2*pi*sqrt(m/k)=2 *pi*sqrt(0.506 / 23) = 0.93 s
Total energy E=0.5*k*A=0.5*23*0.12=1.38 J
Max speed is when kinetic energy T=E, so E=T=0.5mv^2
v=sqrt(2*E/m)=sqrt(2*1.38/0.506)= 2.33 m/s