As shown in the figure below, two blocks ( m 1 and m 2 ) are each released from

Question

As shown in the figure below, two blocks (m1 and m2) are each released from rest at a height of 2.98m on a frictionless track and when they meet on the horizontal section of the track they undergo an elastic collision. If m1 = 2.50kg and m2=4.65kg, determine the maximum heights to which they rise after the collision. Use the coordinate system shown in the figure.

y1f =   1 m y2f =   2 m. As shown in the figure below, two blocks (m1 and m2) are each released from rest at a height of 2.98m on a frictionless track and when they meet on the horizontal section of the track they undergo an elastic collision. If m1 = 2.50kg and m2=4.65kg, determine the maximum heights to which they rise after the collision. Use the coordinate system shown in the figure.

Explanation / Answer

figure ???

i think they collide in opposite directions moving

while hitting both willhave same speed

u = (2*9.8*2.98) ^0.5 = 7.6425 m/s

conservation of momentum

2.5*7.6425 - 4.65*7.645 = 2.5*v1 + 4.65*v2

[7.6425-(-7.6425)]/ [v2-v1 ] = 1

from two euqtions we get

v2 = 3.04 m/s

v1=-12.23 m/s( direction is opposite )

y1 = 7.63m

y2=0.47 m

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