Derive the equation for kinetic energy of an object and define kinetic energy
Answers
DERIVATION:
Consider a body of mass m lying at rest on a smooth floor.Let a force F be applied on the body so that the body attains a velocity v after travelling a distance s.
∴ Work done by the force on the body, W= Fs.......(i)
Let the body have an acceleration a. Then, according to Newton's Second Law of Motion, :
Substituting the value of F=ma in (i), we get:
=> W= mas........(ii)
Now, using v²-u²=2 as, we get:
=> v²-0 = 2 as => s= v²/2a............(iii)
Substituting the value of s from (iii) in (ii), we get:
=> W= ma×v²/2a = (1/2)mv²
This work done is equal to the kinetic energy of the body.
∴ Kinetic energy, KE = (1/2)mv²
DEFINITION:
Kinetic Energy : The energy possessed by a body by virtue of its motion is called kinetic energy.
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Answer:
The kinetic energy of a body is half the product of the mass of the body and square of the velocity of the body. K.E ∝ v ^ 2.