The kinetic energy of a particle varies with time according to the relation `E_(k) = (8t + 6) K` The force acting on the particle (k = constant)

Options

A. is constant
B. varies inversely with velocity
C. varies directly with velocity
D. None of the above

Answer

b

Explanation

`(1)/(2)m upsilon^(2)=k(8t+6)`
Differentiating w.r.t. t
`(1)/(2)m.2upsilon(dnu)/(dt)=k(8+0)=8k`
`(d)/(dt)(m upsilon)=(8k)/(upsilon)implies(dp)/(dt)=(8k)/(upsilon) or Fprop(1)/(upsilon)`
Hence correct choice is (b).