Question

The velocity of a body moving in a straight line is increased by applying a constant force F, for some distance in the direction of motion. Prove that the increase in the kinetic energy of the body is equal to the work done by the force on the body.​

Answer 1

$\huge\mathfrak{Bonjour!!}$

$\huge\mathcal\purple{Answer:-}$

⏩ From position-velocity equation of motion, we have,

2as = v² - u²

=> s = [v² - u²/ 2a] ....→ (i)

Now, from Newton's 2nd law of motion, we have,

F = m × a ...→(ii)

Also, we know that,

W = F × s ...→(iii)

Now,

On substituting the values on (i) and (ii) in (iii), we get,

W = ma [v² - u²/ 2a]

= 1/2 mv² - 1/2 mu²

= (K.E.) final - (K.E.) initial.

HENCE PROVED!⛄

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Answer 2

Answer:

Thank you so much...................