You're watching Disney on ice through a streaming service. Ariel and Aurora 1.4 m/s (each with mass equal to 55 kg), glide in the directions shown (parallel to each other). Their velocities are opposite direction, but both equal to 1.4 m/s. Aurora carries one 1.4 m/s end of a long massless rod. Their paths are separated by 3.0 m. The other skater grabs the end of the pole as she reaches it. They both then rotate around the center of the rod. For the problems below, assume that there is no friction between the princesses and the ice and we're talking about after the two princesses both hold the rod. 1. What is the translational (linear) speed of the two-princess system, specifically, at what speed is the center-of-mass (since everything is symmetric, the c.O.m, is at the center) moving? 2. What is the angular speed of the princesses? 3. What is the kinetic energy of the two-princess system? (continued on second page)
You're watching Disney on ice through a streaming service. Ariel and Aurora 1.4 m/s (each with mass equal to 55 kg), glide in the directions shown (parallel to each other). Their velocities are opposite direction, but both equal to 1.4 m/s. Aurora carries one 1.4 m/s end of a long massless rod. Their paths are separated by 3.0 m. The other skater grabs the end of the pole as she reaches it. They both then rotate around the center of the rod. For the problems below, assume that there is no friction between the princesses and the ice and we're talking about after the two princesses both hold the rod. 1. What is the translational (linear) speed of the two-princess system, specifically, at what speed is the center-of-mass (since everything is symmetric, the c.O.m, is at the center) moving? 2. What is the angular speed of the princesses? 3. What is the kinetic energy of the two-princess system? (continued on second page)
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Transcribed Image Text:You're watching Disney on
ice through a streaming
service. Ariel and Aurora
1.4 m/s
(each with mass equal to 55
kg), glide in the directions
shown (parallel to each other).
Their velocities are opposite
direction, but both equal to
1.4 m/s. Aurora carries one
end of a long massless rod.
Their paths are separated by
3.0 m. The other skater grabs
the end of the pole as she reaches it. They both then rotate around the center of the rod.
For the problems below, assume that there is no friction between the princesses and the
ice and we're talking about after the two princesses both hold the rod.
1.4 m/s
1. What is the translational (linear) speed of the two-princess system, specifically, at
what speed is the center-of-mass (since everything is symmetric, the c.o.m, is at the
center) moving?
2. What is the angular speed of the princesses?
3. What is the kinetic energy of the two-princess system?
(continued on second page)
Transcribed Image Text:After they rotate awhile, the princesses then pull themselves using their arms along the
rod until they are separated by only 1.0 m.
4. After they come closer together as described above, what is their angular speed? Hint:
think about angular momentum.
5. What is the kinetic energy of the two-princess system now?
6. What provided the energy for their increased kinetic energy?
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