Question

What is energy and work theorem

Answer 1

hey mate!

The principle of work and kinetic energy (also known as the work-energy theorem) states that the work done by the sum of all forces acting on a particle equals the change in the kinetic energy of the particle.

Answer 2

$\huge\bold{Work\: Energy\: theorem}$

This theorem states that the $\small\bold{work\: done\: by\: a\: net\: force\: in\: displacing\: a\: body\: is\: equal\: to\: change\: in\: kinetic\: energy\: of\: the\: body}$.

We consider a body of mass $m$ moving with initial velocity $u$.

Let a force F be applied on the body, so that it acquires some acceleration $a$ such that..

F = $ma$

If the body is displaced through a distance $d$ along the direction of the force , then

W = F$d$Cos0° = $mad$.....(1)

If the body acquires velocity $v$ after travelling a distance $d$, then from equation of motion, we have

v² - u² = 2ad

or a = (v² - u²)/2d

on substituting value of a in equation (1). we get,

W = m[(v² - u²)/2d]d

or

W = (1/2)mv² - (1/2)mu²

It's just similar to the formula of △K.E

so by following this,

△K.E. = W

Hence proved...

Hope it helps you out▨▨▨