Question

If the unit of force and length be each increased by four times, then the unit of energy is will become
a. Becomes 8 times
b. Becomes 16 times
c. Decreases 16 times
d. Increase 4 times

Answer 1

Hint: Energy of the body is its capacity to do the work. Greater the energy possessed by the body, greater will be the work done to do it. Those who are doing the work are said to be energetic. Apply these definitions of energy to find the relation between the force and length.

Complete step by step answer:
• Energy can be transferred from one form to another by several ways or means. Work done can be partially transferred into energy. Energy of the body is its capacity to do the work.
• Greater the energy possessed by the body, greater will be the work done to do it. Those who are doing the work are said to be energetic. It is determined by the amount of work that the body can do against a restraining force action on the body before it comes to rest.
• The energy stored as a result of applying a form to deform an elastic body is termed as Elastic potential. The Potential energy is stored in its location or configuration and energy by its virtue. When the body is left, it gives away this stored energy as kinetic energy.
• Here energy is the product of force and length. We can determine, if we increase length and force each by four times then we can say that the unit of energy will become sixteen times.

Hence, the correct answer is option (B).

Note: The energy possessed by a body by the virtue of its motion is termed as Kinetic energy. It is determined by the amount of work that the body can do against a restraining force action on the body before it comes to rest.