Question

derivation of kinetic energy and SI unit of kinetic energy

Answer 1

Kinetic energy is directly proportional to the mass of the object and to the square of its velocity: K.E. = 1/2 m v2. ... Kinetic energy is usually measured in units of Joules (J); one Joule is equal to 1 kg m2 / s2.

Answer 2

$\huge\textbf{Kinetic Energy...}$

It is the energy possessed by an object due to virtue of it's motion.

$\textbf{Expression :}$

Consider an object of mass (m) which increases it's velocity from o to v under force (f) as shown in figure... and it displaces with distance (s).

W (vector) = F (vector) . s (vector)

W = F . s

Now, F = ma

W = m a s

Now,

v² - u² = 2as

v² = 2as

[As u = 0]

[v² ÷ 2as]= a

W = m [v²÷ 2s] s

W = ½ mv²

Kinetic Energy = ½ mv²

* $\textbf{S.I. Unit :}$

Joule (J)

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