Question

Define the term „kinetic energy‟.and Derive an expression for

kinetic energy for an object of mass „m‟ moving with a velocity „v‟.​

Answer 1

Answer:

W=ma*(V²-u²/2a)\=(1/2)m(V²-u²) As we assumed object at rest, u=0. W=(1/2)mV² we know that the kinetic energy of a body moving with certain velocity is equal to workdone on the object to acquire that velocity from rest. ∴K.E=1/2 mV²

Explanation:

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Answer 2

The energy produced by a body due to the virtue of its motion is called kinetic energy.

${ \red{ \bf{ Derivation \: of\: kinetic \:energy:- }}}$

Let,

m=mass of a body at rest

F=force applied on the body

s=displacement in the direction of force

v=final velocity of the body

As, v²=u²+2as

v²=0²+2as

v²=2as

s=v²/2a

Then,

Work=fs

W=F×S

W=ma×v²/2a

W= mv²/

K = 1/2mv²