how does one find the percent of momentum conserved in the y direction when both

Question

how does one find the percent of momentum conserved in the y direction when both pucks initial y-velocity is zero? Can't use pfinal/pinitial because of divide by zero error. how does one find the percent of momentum conserved in the y direction when both pucks initial y-velocity is zero? Can't use pfinal/pinitial because of divide by zero error. how does one find the percent of momentum conserved in the y direction when both pucks initial y-velocity is zero? Can't use pfinal/pinitial because of divide by zero error.

Explanation / Answer

Though initial velocity in y-direction is zero, momentum is conserved.

After collsion, If one puck moves above +x axis, the another puck moves below +x axis.

It means The first puck gets poistive momentum in y-direction, the another puck gets negative momntum in y-direction.

so, net momentum in y-direction remains zero.

In Y-direction,

m1*u1y + m2*u2y = m1*v1y + m2*v2y

0 + 0 = m1*v1y + m2*v2y

m1*v1y = -m2*v2y

here if v1y is poistive then v2y is ngetive

or

if v1y is negative then v2y is positive

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