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 2.
b. increases by a factor of 3.
c. does not change.
d. increases by a factor of 4.
e. increases by a factor of √2.

D. increases by a factor of 4.

Explanation:

General equation of SHM

Lets taken the general equation of the displacement given as

x = A sinω t

A=Amplitude ,t=time ,ω=natural frequency

We know that speed V

V= A ω cosωt

The mechanical energy of spring mass system

K=Spring constant

Now when Amplitude A become 2 times then the mechanical energy will become 4 times.

Therefore the answer is D.

answer: good job it's all correct !

explanation:

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