What is kinetic energy?Derive its equations .give examples of object having kinetic energy
Answers
Answer:
KE=1/2 mv^2 , where m is the object's mass and v is its velocity. This formula is derived from the work-energy theorem, which states that the amount of work done on an object is equal to the change in its energy. Assuming potential energy is constant, Work is equal to the change in kinetic energy
Explanation:
Kinetic energy :- It is the energy possessed by an object due to virtue of motion
Derivation:
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.