Question

define and derive kinetic energy

Answer 1

hi there!

defination:- Kinetic energy is a property of a moving object or particle and depends not only on its motion but also on its mass

derivation:-
Consider a rope attached to a box of mass m and with initial velocity vivi. The box is pulled with a constant force F by a rope and undergoes a displacement s, with a final velocity vfvf

Ignoring friction and air resistance and by Conservation of Energy,

Ki+W=KfKi+W=Kf, where K is Kinetic energy

W=Kf–KiW=Kf–Ki →→ Equation 1

Using v2f=v2i+2asvf2=vi2+2as

v2f=v2i+2(Fm)svf2=vi2+2(Fm)s, since F=maF=ma by Newton’s 2nd Law

v2f=v2i+2(Wm)vf2=vi2+2(Wm), since W = Fs

mv2f=mv2i+2Wmvf2=mvi2+2W

W=12mv2f–12mv2iW=12mvf2–12mvi2 →→ Equation 2

Comparing Equation 1 and 2,

Kf=12mv2fKf=12mvf2 and Ki=12mv2iKi=12mvi2

We have:

K=12mv2


hope it helps ✌

Answer 2

KINETIC ENERGY =1/2mv^2
Here,
m=mass of the object
v=velocity of the object
HOPE THIS WILL HELP YOU..