As shown in the figure below, the two blocks (m1 and m2) are each released from
ID: 2138496 • Letter: A
Question
As shown in the figure below, the two blocks (m1 and m2) are each released from rest at a height of h=3.63 m on a frictionless track and when they meet on the horizontal section of the track they undergo an collision. If m1= 2.50 kg and m2= 5.25kg, determine the maximum heights to which they rise after the collision. Use the coordinate system shown in the figure.
Y1f = m
Y2f = m
As shown in the figure below, the two blocks (m1 and m2) are each released from rest at a height of h=3.63 m on a frictionless track and when they meet on the horizontal section of the track they undergo an collision. If m1= 2.50 kg and m2= 5.25kg, determine the maximum heights to which they rise after the collision. Use the coordinate system shown in the figure.Explanation / Answer
v = sqrt(2gh) = 8.44 m/s
using momentum conservation ,
2.50 x8.44 - 5.25x 8.44 = 5.25v2 - 2.50v1
- 2.50v1 + 5.25v2 = 23.21
using collision equation,
2 x8.44 = v1 + v2
v1 + v2 = 16.88
solving both equation.
v1 = 14.43 m/s
v2 = 2.45 m/s
h1 = v1^2 / 2g = 10.62 m
h2 = 0.306 m
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