What is kinetic energy and dedeuce its expression

1.	What is kinetic energy and dedeuce its expression
Answer» The\xa0kinetic energy\xa0of an object is the\xa0energy\xa0that it possesses due to its motion. It is\xa0defined\xa0as the work needed to accelerate a body of a given mass from rest to its stated velocity.\xa0Consider 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". ThenDerivation for the equation of\xa0Kinetic Energy:The relation connecting the initial velocity (u) and final velocity (v) of an object moving with a uniform acceleration a, and the displacement, S is\xa0 v2\xa0- u2\xa0= 2aSThis gives S =\xa0½a(v2\xa0-\xa0u2)\xa0We know F = ma. Thus using above equations, we can write the workdone by the force, F as W = ma\xa0×\xa0½a(v2\xa0-\xa0u2)\xa0 or W =m(\xa0v\xa02\xa0-\xa0u\xa02\xa0)\xa0½If object is starting from its stationary position, that is, u = 0, then W =\xa0½mv2It is clear that the work done is equal to the change in the kinetic energy of an object.If u = 0, the work done will be W =\xa0½mv2Thus, the kinetic energy possessed by an object of mass, m and moving with a uniform velocity, v is Ek= ½mv2\xa0

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