Question

Kinetic energy depends on :
     A) Position
     B) Velocity
     C) Shape
     D) Colour

Answer 1

Hint: The kinetic energy of a body is an energy that is attained by a body due to its motion. The kinetic energy of a moving body is the reason why moving bodies are able to do work. In such cases, the kinetic energy of the body is changed to some other form of energy and work is done by the body in this process.
Formula used:
$KE=\dfrac{1}{2}m{{v}^{2}}$

Complete step by step solution:
The kinetic energy of a body is the energy possessed by a body by virtue of its motion. When a body is in motion, the body attains some kinetic energy.
The kinetic energy $KE$ of a body of mass $m$ moving with a speed $v$ is given by
$KE=\dfrac{1}{2}m{{v}^{2}}$ --(1)
From (1) we can see that the kinetic energy of a body is directly proportional to the square of its velocity. Therefore, kinetic energy depends on the velocity of the body.
Therefore, the correct option is B) Velocity.
Additional information:
The kinetic energy of running water has been tapped into to do useful work since ancient times. Hydro power stations are set up near water bodies that harness the kinetic energy of moving water and it is used to do useful work.

Note: Students must be aware that the velocity and hence, the kinetic energy of a body depends upon the frame of reference of the observer. If the observer moves in a frame of reference that moves along with the body, then in that frame, the body will have zero velocity and hence, zero kinetic energy.
Hence, while specifying the kinetic energy of a body, the frame of reference should also be specified. If no frame of reference is specified, the frame of reference is the inertial frame of reference.