A body is falling from a height . After it has fallen from a height , it will possess
half potential and half kinetic energy
Step 1. Given data
It is given that a body is falling from a height . After it has fallen from a height .
Step 2. Formula to be used
The energy possessed by the body due to virtue of its motion is called Kinetic energy.
The kinetic energy is,
Here, is mass, is velocity and is kinetic energy.
The energy possessed by a body due to the virtue of its position or configuration is called potential energy.
Here, is mass, is gravitational field strength and is height.
Step 3. Find the energy which possesses by the given height
Let a body of mass ′m′ placed at a height above the ground, and start falling down from rest which is shown in above figure.
When the body falls from a height to , the potential energy is given as .
The body covers the distance with a velocity . We make use of the third equation of motion to obtain the velocity of the body.
According to the third equation of motion is,
Here, is the velocity at any point in time, is the initial velocity, is the acceleration and is the distance travelled. From the given,
So, at height the energy possessed is half potential energy and half the kinetic energy.
Hence, option is the correct answer.