Solution

Momentum and kinetic energy: $P = \sqrt{2mE}$
Increase of 300 percent means $E_2 = E_1 + 3E_1 = 4E_1$.
$P_2 = \sqrt{2m(4E_1)} = 2\sqrt{2mE_1} = 2P_1$
Percentage change $= \dfrac{P_2 - P_1}{P_1} \times 100 = \dfrac{2P_1 - P_1}{P_1} \times 100 = 100$ percent
So the momentum increases by 100%.

Concept Momentum proportional to root of KE

Relation between Kinetic Energy and Momentum in past papers

2 questions from this chapter have appeared across 2 exam years.