Question

Which of the following are proper expressions for the total energy of an object in SHM?

(A) 1/2 kA2 and 1/2 mv2 (max)
(B) 1/2 kx2 and 1/2 mv2 (max)
(C) 1/2 kx and 1/2 mv
(D) 1/2 kx2 and 1/2 mv2
(E) 1/2 kA2 and 1/2 mv2

Answer 1

(A) 1/2 kA2 and 1/2 mv2 (max)

Step-by-step explanation:

As we know that

1)In the SHM at mean position velocity become maximum and at the extreme position velocity become zero.

2)In the SHM at the mean position acceleration become zero and the extreme position it become maximum.

The total energy at the extreme position given as

`TE=(1)/(2)KA^2`

A =Amplitude

K=Spring constant

The total energy at the mean position given as

`TE=(1)/(2)mV^2`

m=mass

V==Velocity

Therefore the answer will be A.