Home
Class 12
PHYSICS
Two equal masses are attached to the two...

Two equal masses are attached to the two ends of a spring of spring constant `k`. The masses are pulled a part symmetrically to stretch the spring by a length `x` over its natural length. The work done by the spring on each mass is.

A

`1/2 kx^2`

B

`-1/2 kx^2`

C

`1/4 kx^2`

D

`-1/4 kx^3`

Text Solution

Verified by Experts

The correct Answer is:
D
Negative work done on both masses = increase in potential energy of the spring.
`implies -2v = 1/2 kx^2 implies w = -1/4 kx^2`
Alternatively: Let both the blocks has been displaced by s
`implies` restoring force of the Spring is K(2s)
`implies` Work done on each block `= int_(0)^(x//2) k (2s) ds cos 180^@ = - (kx^2)/4`
Promotional Banner

Similar Questions

Explore conceptually related problems

Two equal masses are attached to the two ends of a spring of spring constant k. The masses are pulled out symmetrically to stretch the spring by a length x over its natural length. The work done by the spring on each mass is

Two equal masses are attached to the two end of a spring of force constant k the masses are pulled out symmetrically to stretch the spring by a length 2x_(0) over its natural length. Find the work done by the spring on each mass.

An object of mass m, oscillating on the end of a spring with spring constant k has amplitude A. its maximum speed is

A spring of spring constant k is cut in three equal pieces. The spring constant of each part will be

An elastic spring of unstretched length L and spring constant K is stretched by a small length x. It is further stretched by another small length y. the work done in second stretcing is

Two masses m and 2m are attached to two ends of an ideal spring as shown in figure. When thye spring is in the compressed state, the energy of the spring is 60 J, if the spring is released, then at its natural length