Physics, asked by m41969686, 5 hours ago

(answer in 80-100 words) Define Kinetic Energy. Also, Derive expression for Kinetic Energy​

Answers

Answered by jeemitvpandya
1

Answer:

The kinetic energy of an object is the energy that it possesses due to its motion. It is defined as the work needed to accelerate a body of a given mass from rest to its stated velocity.

Consider a body of mass "m" starts moving from rest. After a time interval "t" its velocity becomes V.

If initial velocity of the body is Vi = 0 ,final velocity Vf = V and the displacement of body is "d". Then

Derivation for the equation of Kinetic Energy:

The relation connecting the initial velocity (u) and final velocity (v) of an object moving with a uniform acceleration a, and the displacement, S is

v2 - u2 = 2aS

This gives

S = ½a(v2 - u2)

We know F = ma. Thus using above equations, we can write the workdone by the force, F as

W = ma × ½a(v2 - u2)

or

W =m( v 2 - u 2 ) ½

If object is starting from its stationary position, that is, u = 0, then

W = ½mv2

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It is clear that the work done is equal to the change in the kinetic energy of an object.

If u = 0, the work done will be W = ½mv2

Thus, the kinetic energy possessed by an object of mass, m and moving with a uniform velocity, v is Ek= ½mv2

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