Spheres A (mass 0.040 kg), B (mass 0.060 kg) and C (mass 0.080 kg) are approaching the origin as they slide on a frictionless air table. The initial velocities of A and B are v₁ = 1.60 m/s in the negative x direction and vg = 0.90 m/s at an angle 0 = 60°, as shown. All three spheres arrive at the origin at the same time and stick together. After the collision, the masses move at a speed of 0.50 m/s in the -x direction. UC y O OB B UB VA A X C a. What is the x-component of the initial velocity of C? b. What is the y-component of the initial velocity of C? c. Calculate the change in mechanical energy of the collision. d. What type of collision is this? Explain.

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Spheres A (mass 0.040 kg), B (mass 0.060 kg) and C (mass 0.080 kg) are
approaching the origin as they slide on a frictionless air table. The initial
velocities of A and B are v₁ = 1.60 m/s in the negative x direction and VB = 0.90
m/s at an angle 08 = 60°, as shown. All three spheres arrive at the origin at the
same time and stick together. After the collision, the masses move at a speed of
0.50 m/s in the -x direction.
UC
y
OB
B
UB
VA
A
X
C
a. What is the x-component of the initial velocity of C?
b. What is the y-component of the initial velocity of C?
c. Calculate the change in mechanical energy of the collision.
d. What type of collision is this? Explain.
Transcribed Image Text:Spheres A (mass 0.040 kg), B (mass 0.060 kg) and C (mass 0.080 kg) are approaching the origin as they slide on a frictionless air table. The initial velocities of A and B are v₁ = 1.60 m/s in the negative x direction and VB = 0.90 m/s at an angle 08 = 60°, as shown. All three spheres arrive at the origin at the same time and stick together. After the collision, the masses move at a speed of 0.50 m/s in the -x direction. UC y OB B UB VA A X C a. What is the x-component of the initial velocity of C? b. What is the y-component of the initial velocity of C? c. Calculate the change in mechanical energy of the collision. d. What type of collision is this? Explain.
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