If we double only the amplitude of a vibrating ideal mass-and-spring system,the mechanical energy of the system
A)increases by a factor of .
B)increases by a factor of 2.
C)increases by a factor of 3.
D)increases by a factor of 4.
E)does not change.

Question

If we double only the amplitude of a vibrating ideal mass-and-spring system,the mechanical energy of the system
A)increases by a factor of . 
B)increases by a factor of 2. 
C)increases by a factor of 3. 
D)increases by a factor of 4. 
E)does not change.

Quizplus · Accepted Answer

The mechanical energy of a vibrating ideal mass-and-spring system is proportional to the square of the amplitude of vibration. Therefore, doubling the amplitude will increase the mechanical energy by a factor of 2^2 = 4.

If We Double Only the Amplitude of a Vibrating Ideal