Answer:
√2
Step-by-step explanation:
If the final kinetic energy is 2 times the initial kinetic energy:
KE = 2 KE₀
½ mv² = 2 (½ mv₀²)
v² = 2 v₀²
v = √2 v₀
Therefore, the ratio of the final momentum to the initial momentum is:
p / p₀
mv / (mv₀)
v / v₀
√2