Derive an expression for the kinetic energy of a body moving with a uniform velocity.
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Explanation:
Consider a body of mass "m" moving with an initial velocity "u".
A constant force "F" acts on it and the velocity changes to "v".
Let "s" be the distance covered and "a" be the constant acceleration
We know that
v² - u² = 2as
s = v² - u²/2a
We know that ,
Work done = Force(F) × displacement (s)
F = ma
W = ma × v² - u² /2a
["a" gets cancelled ]
W = m × v² - u² /2a
= 1/2 m[v² - u² ]
When , initial velocity , u = 0
W = 1/2 mv²
K.E = Work done
= 1/2 mv²
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