1. Sphere A has mass ma = 0.05 kg, velocity magnitude va = 2.0 m/s making an angle = 30° with the + axis. Sphere B has mass m = 0.03 kg, velocity magnitude Ub 3.0 m/s and moves along the +y axis. Sphere C has mass me = 0.04 kg, velocity magnitude vc = 4.0 m/s and moves along the +x axis. See figure. They are all approaching the origin as they slide on a frictionless surface. The three spheres arrive at the origin at the same time and stick together. (a) What is the final velocity of the combined object? (b) How does the final kinetic energy compare to the kinetic energy before the collision? y m a m с mb X

Glencoe Physics: Principles and Problems, Student Edition
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Author:Paul W. Zitzewitz
Publisher:Paul W. Zitzewitz
Chapter6: Motion In Two Dimensions
Section6.3: Relative Velocity
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1. Sphere A has mass ma = 0.05 kg, velocity magnitude va = 2.0 m/s making
an angle 30° with the + axis. Sphere B has mass m₁ = 0.03 kg, velocity magnitude
Vb =
3.0 m/s and moves along the +y axis. Sphere C has mass mc 0.04 kg, velocity
magnitude vc = 4.0 m/s and moves along the +x axis. See figure. They are all approaching
the origin as they slide on a frictionless surface. The three spheres arrive at the origin at
the same time and stick together. (a) What is the final velocity of the combined object? (b)
How does the final kinetic energy compare to the kinetic energy before the collision?
y
m
a
m
mb
X
Transcribed Image Text:= 1. Sphere A has mass ma = 0.05 kg, velocity magnitude va = 2.0 m/s making an angle 30° with the + axis. Sphere B has mass m₁ = 0.03 kg, velocity magnitude Vb = 3.0 m/s and moves along the +y axis. Sphere C has mass mc 0.04 kg, velocity magnitude vc = 4.0 m/s and moves along the +x axis. See figure. They are all approaching the origin as they slide on a frictionless surface. The three spheres arrive at the origin at the same time and stick together. (a) What is the final velocity of the combined object? (b) How does the final kinetic energy compare to the kinetic energy before the collision? y m a m mb X
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