Physics, asked by frunkwriter4154, 6 months ago

Show that ke=1/2mv2 is dimensionally correct

Answers

Answered by janakiraman19
4

Explanation:

kinetic energy formula:

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

Answered by Anonymous
21

Answer:

Kinetic energy formula:

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

KE = 1/2 mv²

KE = 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

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