Question

An impulsive force acting on a particle increases the kinetic energy of the particles by 100%. The
increase in the momentum is
A) 10%
C) 40%
B) 70%
D) 100%

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Answer 1

Answer

A) 100 percent

If you will read the question U will understand it

Answer 2

An impulsive force acting on a particle increases the kinetic energy of the particles by 100% then increase in the momentum is 40%

Explanation:

Linear momentum    P = √2mk

Final kinetic energy $k_{f} = 2k$

So final momentum $p_{f} = \sqrt{2mk_{f} }$

= √4mk

Percentage change in momentum

$\frac{P_{f} - P }{P}$  × 100

⇒ $\frac{\sqrt{4mK} - \sqrt{2mK} }{\sqrt{2mK} }$  × 100

Therefore,

$\frac{P_{f} - P }{P}$ × 100 = $\frac{\sqrt{4} -\sqrt{2} }{\sqrt{2} }$ × 100

= 41 .4 %

Final answer

An impulsive force acting on a particle increases the kinetic energy of the particles by 100% then increase in the momentum is 40%

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