b. Derive the formula for the kinetic
energy of an object of mass m,
moving with velocity v.
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Let the initial velocity of the object be u. Let an external force be applied on it so that it gets displaced by distance s and its velocity becomes v. In this scenario, the kinetic energy of the moving body is equal to the work that was required to change its velocity from u to v.
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Answer:
Explanation:
he Work done by Force on the object is :
Workdone = Force x displacement.
W=F×S ____(1).
From third equation of motion;
V^2-U^2=2as
S= V^2-U^2/2as
______(2)
By Newtons second law of motion:
F=ma
From equation 1 and 2
W= m*a* (V^2-U^2)/2a
As we have assumed object is at rest, U=0
W= mV^2/2
The Work Done appears as kinetic energy of the body.
Therefore,
K.E=( mV^2/2
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