Question

The ratio of momentum and kinetic energy of a particle is inversely proportional to the
time. This is the case of ​

Answer 1

The ratio of momentum (=mv) and kinetic energy (=

2

1

mv

2

)

in inversely proportional to time ie:-

2

1

mv

2

mv

α

t

1

⇒v=

2k

t

[k = constant of proportionality]

differentiate both sides wrt to time,

a=

dt

dv

=

2k

1

, as a = constant ⇒ uniformly acclted.motion.