Question 12 of 19 Map sapling learning Before Collision After nm 0.750v n final

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Question 12 of 19 Map sapling learning Before Collision After nm 0.750v n final o 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 n 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 0.750v, and the speed of the second particle is unknown. What is the value of n? Number 667 There is additional feedback available! View this feedback by clicking on the bottom divider bar. Click on the divider bar again to hide the additional feedback. Incorrect. Close n Previous Give Up & View solution Try Again 0 Next Exit Explanation

Explanation / Answer

initial momentum Pi = mv - nmv

after collision

final momentum = Pf = -m*0.75v + nm*vf

in elastic collision

total momentum is conserved

Pf = Pi

-m*0.75v + nm*vf = mv - nmv

-0.75v +n*vf = v - nv

vf = 1.75*v/n - v................(1)

total initial energy == final energy

0.5*m*v^2 + 0.5*nm*v^2 = 0.5*m*0.75^2*v^2 + 0.5*nm*vf^2

v^2 + n*v^2 = 0.75^2*v^2 + n*vf^2..............(2)

substituting 1 in 2

v^2 + nv^2 = 0.5625*v^2 + 3.1v^2/n + n*v^2 - 3.5v^2

1 = 0.5626 + 3.1/n - 3.5

n = 0.787

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