1.

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)

Answer»

is constant
varies INVERSELY with velocity
varies directly with velocity
None of the above

Solution :`(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).


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