03. What is Kinetic energy? Derive an Expression for it
Answers
Answer:
The 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.
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Kinetic energy
= Kinetic Energy is the energy possessed by the body by virtue of its motion”
= The SI unit of kinetic energy is Joule which is equal to 1 kg.m2.s-2.
= Kinetic energy is a scalar quantity.
= Formula - 1 / 2 × mv²
Derive an Expression
= The relation connecting the initial velocity (u) and final velocity (v) of an object moving with a uniform acceleration a, and the displacement, S is v² - u² = 2aS
This gives
S = ½a(v² - u²)
We know F = ma. Thus using above equations, we can write the workdone by the force, F as
W = ma × ½a(v² - u²)
or
W =m(v² - u²) ½
If object is starting from its stationary position, that is, u = 0, then
W = ½mv²
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It is clear that the work done is equal to the change in the kinetic energy of an object.
If u = 0, the work done will be W = ½mv²
Thus, the kinetic energy possessed by an object of mass, m and moving with a uniform velocity, v is Ek= ½mv²