b) Derive an expression for kinetic energy for an object of mass 'm'
moving with a velocity 'v'.
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;
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
Explanation:
Kinetic energy of an object is the energy that it possesses due to its motion. It is defined as the work needed to accelerate a body of a given mass from rest to its stated velocity.
we will consider an object of m which is at rest lying on a table.
Let A force F acts on the object which moves the object through a distance S.
The workdone=F×S
W=Fnet×S-------(1)
Let the work done on the object causes a change in its velocity from u to V and let a be the acceleration.
From Third equation of motion:
V²−u²=2as
s=V²−u²/2a----------(2)
By Newton's Second law:
F=ma------(3)
From equation (1), (2) and (3)
W=ma×(V2−u2/2a)=(1/2)m(V2−u2)
As we assumed object at rest, u=0
W=(1/2)mV2
we know that the kinetic energy of a body moving with a certain velocity is equal to work done on the object to acquire that velocity from rest.
∴K.E=1/2mV2
HoPE THIS answer will help you .. If it is plz mark as brainliest