Question

state and explain the expression of kinetic energy​

Answer 1

Kinetic energy (KE) = 1/2 mv²

Explanation:

KE = F×S

= m×a×s

= m × v²/2s ×s (because v²= 0²+2as)

=mv²/2

= 1/2 mv²

Thus, KE = 1/2 mv²

Answer 2

Answer:

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Explanation:

The kinetic energy (KE) 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. Having gained this energy during its acceleration, the body maintains this kinetic energy unless its speed changes. The same amount of work is done by the body when decelerating from its current speed to a state of rest.

Expression of kinetic energy:-

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

Using equation of motion

2aS = Vf^2 – Vi^2

Putting the above mentioned values

2ad = V^2 – 0

a = V^2/2d

Now force is given by

F = ma

Putting the value of acceleration

F = m(V^2/2d)

As we know that

Work done = Fd

Putting the value of F

Work done = (mv^2/2d)(d)

Work done = mV^2/2

          (OR)

Work done = ½ mV^2

Since the work done is motion is called "Kinetic Energy"

i.e.

K.E. = Work done

(OR

K.E. = 1/2mV^2.

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