KINETIC ENERGY

  • kinetic energy is the energy possessed by an object due to its motion.
  • The kinetic energy of an object increases with its speed.
  • Let us now express the kinetic energy of an object in the form of an equation.
    Consider an object of mass, m
    moving with a uniform velocity, u.
    the work done, W is F s
  • The work done on the object will cause a change in its velocity.
    Let its velocity change from u to v.
    Let a be the acceleration produced.
  • 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
    v^2-u^2 = 2as
  • This gives
    s=v^2-u^2/2a
  • As we know
    f=m a
    therefore
    W=ma x v^2-u^2/2a or W=1/2 m(v^2-u^2)
  • If the object is starting from its stationary position, that is, u = 0, then
    W=1/2 mv^2
  • Thus, the kinetic energy possessed by an object of mass, m and moving with a uniform velocity, v is
    Ek =1/2 mv^2
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