1. Two shuffleboard disks of equal mass, one orange and the other green, are inv
ID: 1431202 • Letter: 1
Question
1. Two shuffleboard disks of equal mass, one orange and the other green, are involved in a perfectly elastic glancing collision. The green disk is initially at rest and is struck by the orange disk moving initially to the right at
as in Figure a, shown below. After the collision, the orange disk moves in a direction that makes an angle of
= 36.0°
with the horizontal axis while the green disk makes an angle of
= 54.0°
with this axis as in Figure b. Determine the speed of each disk after the collision.
2. Consider a frictionless track as shown in the figure below. A block of mass
m1 = 4.50 kg
m2 = 17.0 kg
that is initially at rest. Calculate the maximum height to which m1 rises after the collision.
_____ m
Answer both questions.
vof = _____ m/s vgf = _____ m/sExplanation / Answer
I am allowed to answer only 1 question at a time
So I will answer only 1st question
initial momentum in x direction= m*6.9 Kgm/s
initial momentum in y direction = 0
final momentum in x direction :
m*vof*cos 36 + m*vog*cos 54
final momentum in y direction :
m*vof*sin 36 + m*vgf*sin 54
use conservation of momentum in y direction:
initial momentum = final momentum
m*vof*sin 36 + m*vgf*sin 54 = 0
vof*sin 36 + vgf*sin 54 = 0
vof = -1.376*vgf
use conservation of momentum in x direction,
m*vof*cos 36 + m*vog*cos 54 = m*6.9 Kgm/s
vof*cos 36 + vog*cos 54 = 6.9
(-1.376*vog)*cos 36 + vog*cos 54 = 6.9
-1.132*vgf + 0.5878*vgf = 6.9
vgf = -12.68 m/s
vof = -1.376*vgf
= -1.376*(-12.68)
= 17.45 m/s
Answer:
vof = 17.45 m/s
vgf = -12.68 m/s
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