Question

Prove that KE =1/2mv2 is dimensionally correct
pls help me I will make you brainliest

Answer 1

Answer:

For the Kinetic formula, Ek, is certainly the energy of a mass, m, motion, of course, is v²

Ek = 1/2 mv²

Ek = Kinetic energy

m = mass of the body

v = velocity of the body

kinetic energy formula derivation :

Let us consider the example of an object of m

which is at a state of rest on a table.

A force Facts on the object which moves it through a distance S.

The work done=FxS

W=Fnet x S---(1)

Consider the work done on the object which results in a change in velocity from u to V. Furthermore, one must let "a" be the acceleration.

Considering the third equation of motion:

V²-u²=2as

s=V²-u²/2a----(2)

Applying Newton's Second law:

F=ma--(3)

W=ma*(V²-u²/2a)\=(1/2)m(V²-u²)

As the object in a state of rest, u=0

W=(1/2)m V²

Furthermore, the kinetic energy of a body

moving with a certain velocity is equal to work done on the object. This work is for the purpose of acquiring that velocity from the estate of rest.

Therefore, Kinetic energy =1/2 mV²

Explanation:

gonna be honest this is copied from someone else who answered this question somewhere else

i hope its useful tho

Answer 2

Explanation:

First up it’s K.E. = 1/2 m (v^2) ; the squared only applies to the v.

Here’s the way I do it, but there are other ways:

Using work done = force x distance (in the direction of the force)

f = m a

and v^2 = u^2 + 2as from the equations of motion.

Rearrange for s, substitute f/m for a into the equation of motion, then substitute into work = f s.