Question

state work energy theorem for constant force​

Answer 1

Answer:

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

Pranam __/\__

$\large\underline\orange{\sf Work\:Energy\:Theorem}$

Proof of work energy theorem :-

We known that

$\large{\sf {v}^{2} = {u}^{2}+2as}$

we can also write the equation as :-

$\large{\sf {v}^{2}-{u}^{2} = 2as}$

We can substitute the values in the equation with the vector quantities , therefore :-

$\large{\sf {v}^{2}-{u}^{2}=2a.d}$

If we multiply both sides by $\large{\sf {\frac{m}{2}}}$

$\large{\sf {\frac{1}{2}}m{v}^{2}-{\frac{1}{2}}m{u}^{2}=ma.d}$

From newtons second law we know that F = ma hence ,

$\large{\sf {\frac{1}{2}}m{v}^{2}-{\frac{1}{2}}m{u}^{2}=F.d}$

Now we already known that W=F.d

and KE = $\large{\sf {\frac{m{v}^{2}}{2}}}$

So , the above equation we can rewrite as :-

$\large{\sf K_{f}-K_{i}=W}$

Hence , we have

$\large{\boxed{\sf \delta K=W}}$