obtain formula for kinetic Energy of a body
of mass cm) moving with velocity (V)
Please fast
Answers
Explanation:
Kinetic Energy:
The energy possessed by an object due to its motion is called as kinetic energy.
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;
V2−
U 2
2aS
S=
2a
V2−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
Translational kinetic energy of a body is equal to one-half the product of its mass, m, and the square of its velocity, v, or 1/2mv2.
hope it helps ☺