derive the formula for the kinetic energy. of an object of mass M, moving the with velocity v.
Answers
Answered by
5
Answer:
1/2 mv^2 is the formula for K. E
...........
Answered by
2
Answer:
Derivation:
Let us consider an object of mass "m" which is at rest on smooth horizontal plane.
Let a Force ,F acts on the object and let the object from rest moves from point A to point B and covers a displacement S.
The 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=
2a
V
2
−U
2______(2)
By Newtons second law of motion:
F=ma
From equation 1 and 2
W=
2a
m∗a∗(V
2
−U
2
)
As we have assumed object is at rest, U=0
W=
2
mV
2
The Work Done appears as kinetic energy of the body.
Therefore,
K.E=(
2
1
)mV
2
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