Question

If kinetic energy is increased by 3 percentage what is the change in momentum

Answer 1

Answer:

Given:

Kinetic energy is increased by 3%

To find:

Percentage change of momentum

Concept:

We know that the relationship between momentum and kinetic energy is as follows:

$KE \: = \frac{ {p}^{2} }{2m}$

So, for small changes in moment there will be corresponding small change in kinetic energy.

∆KE/KE = 2 ∆P/P ............(1)

Calculation:

As per Equation (1)

∆KE/KE = 2 ∆P/P

=> 3% = 2 ∆P/P

=> ∆P/P = 1.5 %

So the final answer is 1.5%

Answer 2

Relationship between kinetic energy and momentum :

$ke \times \frac{ {p}^{2} }{ {}2 m}$

Therefore ,there will be corresponding some change in the kinetic energy

∆KE/KE = 2 ∆P/P .........(equation 1).

: Calculation :

As equation (1).

∆KE/KE = ∆P/P

3% = 2 ∆P/P .

∆P/P = 1.5% .

Answer = 1.5%.