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Matter In Our Surroundings

Question
CBSEENSC9006451

Define kinetic energy and potential energy. Write an expression for the kinetic energy of a body of mass m moving with a velocity v. Find the kinetic energy of a body of mass 40 kg moving with a velocity 15 m/s.

Solution

Kinetic energy: Energy possessed by a body by virtue of its motion is called its kinetic energy.

Mathematically, kinetic energy is expressed as, 

                       K.E  = 12mv2 

where, 

m is the mass of the moving body,
v is the velocity of the body.

Potential energy: Energy possessed by a body by virtue of its position or shape is called its potential energy.

For a body of mass m lying at a height h above the ground level, gravitaional potential energy is given by, 

                         P.E = mgh 

Given,

Mass of the body, m = 40 kg
Velocity of the body, v = 15 m/s

So,  K. E. = 1 mv2  = 1 x 40 x (15)2 = 4500 J.
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