state kinetic energy and derive its equation
Answers
Answer:
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Answer:
The kinetic energy of a body is the energy that it possessed due to its motion. Kinetic energy can be defined as the work needed to accelerate an object of a given mass from rest to its stated velocity. The derivation of kinetic energy is one of the most common questions asked in the examination. Students must understand the kinetic energy derivation method properly to excel in their examination.
Kinetic energy depends upon the velocity and the mass of the body. If the velocity of the body is zero, then the kinetic energy will also be zero. The derivation of kinetic energy is given below so that students can understand the concept more effectively. the kinetic energy formula derivation can be done using algebra and calculus. Both the methods are explained below.
Derivation of Kinetic Energy Let us 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=F
net
×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×(V
2
−u
2
/2a)=(1/2)m(V
2
−u
2
)
As we assumed object at rest, u=0
W=(1/2)mV
2
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=1/2mV
2