Two shuffleboard disks of equal mass, one of which is orange and one of which is yellow, are involved in an elastic collision. T
1 answer:
Answer:
v₁ = 5 m/s
Explanation:
We can use the law of conservation of momentum here:
where,
m₁ = m₂ = m = mass of each disk
u₁ = initial speed of yellow disk = 0 m/s
u₂ = initial speed of orange disk = 5 m/s
v₁ = final speed of yellow disk = ?
v₂ = final speed of orange disk = 0 m/s
Therefore,
<u>v₁ = 5 m/s</u>
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(a)
Let's take the initial direction (before the collision) of the cue ball has positive x-direction.
Along the y-direction, the total initial momentum is zero:
Therefore, since the total momentum must be conserved, it must be zero also after the collision. So we write:
where
m is the mass of each ball
is the velocity of the cue ball after the collision
is the velocity of the second ball after the collision
is the angle of the cue ball with the x-axis
is the angle of the second ball
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First, we calculate the total momentum along the x-direction after the collision, which is:
The initial total momentum along the x-direction as
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m is the mass of the cue ball
is the initial velocity of the cue ball
The momentum along this direction must be conserved, so we can equate the two expressions and find the value of u: