Question

What do you mean by kinetic energy derive an expression for kinetic energy of an object of mass m moving with velocity v?

Answer 1

Hey mate!!
Here is your answer..

kinetic energy is the energy possessed by the motion of an object.
the formula for kinetic energy=1/2mv*2
Now,
let the mass of an object be m with its final velocity v.
now,
work = force × displacement ....eq(1)
(since energy is the ability to do work)
force=mass ×acceleration...eq(2)
(from the second law of motion)
substitute the value of f from eq(2) to eq(1)
we get,
kinetic energy=m×a×s(s stands for displacement)....eq(3)
now, from Newton's third law of motion
=v*2-u*2=2as
=v*2-0*2=2as(since object has started from the rest and then possess motion)
=v*2=2as
=s=v*2/2a.....eq(4)
now, substitute the value of s from eq(4)to eq(3).
we get,
kinetic energy= m×a×v*2/2a
=m×v*2/2
=1/2m×v*2
=1/2mv*2
therefore, the kinetic energy= 1/2mv*2
Hope it will help you!!
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