Define kinetic energy
?Derive the mathematical formula for kinetic energy?
Answers
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➡The kinetic energy of an object is the energy an object has due to its motion. The formula for kinetic energy is: KE=1/2 mv^2 , where m is the object's mass and v is its velocity.
➡This is expressed in the formula ∆KE=Fd. You can then use algebra or calculus to derive the kinetic energy equation.
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Answer:
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.
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)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
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