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Plz explain the derevation of kinetic …

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Plz explain the derevation of kinetic energy??

Posted by Srajal Verma 6 years, 3 months ago

CBSE > Class 09 > Science

1 answers

Moomal Kirad 6 years, 3 months ago

PROOF Consider a body of mass "m" starts moving from rest. After a time interval "t" its velocity becomes V. If initial velocity of the body is Vi = 0 ,final velocity Vf = V and the displacement of body is "d". Then First of all we will find the acceleration of body. Using equation of motion 2aS = Vf2 – Vi2 Putting the above mentioned values 2ad = V2 – 0 a = V2/2d Now force is given by F = ma Putting the value of acceleration F = m(V2/2d) As we know that Work done = Fd Putting the value of F Work done = (mv2/2d)(d) Work done = mV2/2 OR Work done = ½ mV2 Since the work done is motion is called "Kinetic Energy" i.e. K.E. = Work done OR K.E. =1/2mV2.

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