Question

Kinetic energy of a particle is increased by 1%. By how much percentage momentum of the particle will increase ?

Answer 1

Kinetic energy of a particle increase in percentage is = 1%

Momentum of particle increase in percentage is        =  ?

Explanation:

The relationship between momentum and kinetic energy is :-

                                    K.E      =      $p^{2} / 2m$   ........   (1)

change in kinetic energy ÷ kinetic energy = 2 (change in momentum) ÷  momentum

      change in kinetic energy ÷ kinetic energy × 100  =     1

      change in momentum     ÷    momentum  ×  100  =     0.5

Increase in momentum of body  is  0.5 %.

Kinetic energy :- If an object moves, the energy it contains while moving it is due to its kinetic energy.

for example :-

(1) The energy that is produced in the hydro power plant is due to the kinetic energy .

(2) The energy that is produced in the windmill is also made due to the kinetic energy.

             

Answer 2

Answer:             $\frac{1}{2}$%

Explanation:

P=$\sqrt{2KM}$ OR P$\alpha$K$x^{} \frac{1}{2}$      

FOR SMALL % CHANGES

% CHANGES IN P=$\frac{1}{2}$(%CHANGE IN  K)

====>>$\frac{1}{2}$(1%)

=====>>0.5%