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The potential energy of a weight less sp...

The potential energy of a weight less spring compressed by a distance a is proportional to

A

a

B

`a^2`

C

`a^-2`

D

`a^0`

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The correct Answer is:
B
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Two discs A and B are mounted coaxiallay on a vertical axle. The discs have moments of inertia I and 2 I respectively about the common axis. Disc A is imparted an initial angular velocity 2 omega using the entire potential energy of a spring compressed by a distance x_1 Disc B is imparted an angular velocity omega by a spring having the same spring constant and compressed by a distance x_2 Both the discs rotate in the clockwise direction. The ratio x_1//x_2 is

Two discs A and B are mounted coaxiallay on a vertical axle. The discs have moments of inertia I and 2 I respectively about the common axis. Disc A is imparted an initial angular velocity 2 omega using the entire potential energy of a spring compressed by a distance x_1 Disc B is imparted an angular velocity omega by a spring having the same spring constant and compressed by a distance x_2 Both the discs rotate in the clockwise direction. The loss of kinetic energy in the above process is

Two discs A and B are mounted coaxially ona vertical axle. The discs have moments of inertia l and 2l respectively about the common axis. Disc A is imparted an initial angular velocity 2 omega using the centre potential energy of a spring compressed by a distance x_(1) . Disc B is imparted angular velocity omega by a spring having the same spring constant and compressed by a distance x_(2) . Both the disc rotate in the clockwise direction. The rotation x_(1)//(x_(2) is.

The potential energy of a spring ……………. when it is compressed .

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Two discs A and B are mounted coaxially ona vertical axle. The discs have moments of inertia l and 2l respectively about the common axis. Disc A is imparted an initial angular velocity 2 omega using the centre potential energy of a spring compressed by a distance x_(1) . Disc B is imparted angular velocity omega by a spring having the same spring constant and compressed by a distance x_(2) . Both the disc rotate in the clockwise direction. The loss of kinetic energy the above process is -

Statement-1: Graph between potential energy of spring versus the extension or comparision of the spring is a straight line. Statement-2: Potential energy of a stretched or compressed spring is proportional to square of extension or comparission.

A block of mass m is initially moving to the right on a horizontal frictionless surface at a speed v. It then compresses a spring of spring constant k. At the instant when the kinetic energy of the block is equal to the potential energy of the spring, the spring is compressed a distance of :

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