Question 13 of 19 Map Sapling Learning Before Collision After it im In nm 185v T

Question

Question 13 of 19 Map Sapling Learning Before Collision After it im In nm 185v Two particles approach each other with equal and opposite speed v. The mass of one particle is m, and the mass of the other particle is nm, where n is just a unitless number. Snapshots of the system before, during, and after the elastic collision are shown above After the collision the first particle moves in the exact opposite direction with speed 1.85v, and the speed of the second particle is unknown. What is the value of n? Number Previous Check Answer Next -el Exit Hint

Explanation / Answer

for elastic collision,

velocity of approach = velocity of separation

2 v = 1.85v + v'

v' = 0.15 v

Now applying momentum conservation,

m v - nm v = - m (1.85v) + n m (.15v)

(1 - n) = - 1.85 + 0.15 n

1 + 1.85 = (0.15 + 1)n

n = 2.5

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