Drive an expression of kinetic energy
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Answered by
23
Expression for kinetic energy :
Suppose a Force ‘F’ acting on a body of mass ‘m’ in state of rest changes its velocity to ‘v’ and body covers ‘s’ distance in the direction of force.
Then, the work done by the force is given by
W = F . S
= ma . S …………(1) [ F = ma ]
Now, using equation of motion, we have
v2 = u2 + 2aS
or, v2 = 0 + 2aS
as = v2/2
So, by equation (1) , we get
W = m .v2/2
so , by definition of kinetic energy of the body,
K.E. = W = 1/2 mv2
Answered by
185
Explanation:
Hey dear✋☺
⌲Let a body of mass m is initially at rest is acted upon by a constant force F
Let it acquires final velocity v after displacement S
then,
v² - u² = 2as
v² - 0 = 2as ( u = 0)
a = v²/2s
but F = ma
F = m.v²/2s
and W = F.S
W = mv²/2S x S
⌲w = ½mv²
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