Two shuffleboard disks of equal mass, one orange and the other green, are involv
ID: 1419243 • Letter: T
Question
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
= 39.0°
with the horizontal axis while the green disk makes an angle of
= 51.0°
with this axis as in Figure b. Determine the speed of each disk after the collision.
vof =__4.27____Your response is within 10% of the correct value. This may be due to roundoff error, or you could have a mistake in your calculation. Carry out all intermediate results to at least four-digit accuracy to minimize roundoff error. m/s vgf = ________m/s
Explanation / Answer
The sum of their vertical momenta is zero:
1) Vo*sin39° = Vg*sin51°
The sum of their horizontal momenta must equal the initial momentum of orange:
2) Vo*cos39° + Vg*cos51° = 6.0
In each case, since the masses are equal, they cancel out.
Solving (1) & (2) simultaneously,
Vo = ? m/s
Vg = ?m/s
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