Define kinetic energy Derive the expression for a kinetic energy of an object
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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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The energy produced by a body due to the virtue of its motion is called 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
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