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Derive an expression for the kinetic …

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Derive an expression for the kinetic energy of an object.

Posted by Navjot Kaur 4 years, 7 months ago

CBSE > Class 09 > Science

2 answers

Seema Chandel 4 years, 7 months ago

K=1/2mv^2

0Thank You

Yogita Ingle 4 years, 7 months ago

Consider a body of mass m initially at rest. If on application of force F, it travels a distance s, then

Work done, W = F x s

By Newton's second law, F = ma

W = ma x s

where, a = acceleration

Using equation of motion v² - u² =2as, we get

(v²-u²)/2 = as

W = m x (v² - u²)/2

As intial velocity is zero, W = ½mv²

This work done is stored as kinetic energy of the object.

So, KE = ½ mv²

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CBSE > Class 09 > Science