An object is moving with shm of amplitude a on the end of a spring. if the amplitude is doubled, what happens to the total distance the object travels in one period? what happens to the period? what happens to the maximum speed of the object? discuss how these answers are related.

Answer

given,

Amplitude is doubled

A is amplitude

Doubling the Amplitude means that the object will move double positive and double negative displacement.

It will cover double distance i.e 4 A instead of 2 A.

The period will not change because it does not depend on Amplitude.

now we know,

when the Amplitude is directly proportional to velocity.

If Amplitude is double, velocity will also be double.