Suppose two rings are at the top of a ramp. The rings have the same mass, but one ring has a much larger radius than the other. Which ring will win the race to the bottom, and why? (Hint: Consider the potential energy, translational kinetic energy, and rotational kinetic energy of each ring.)
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Suppose two rings are at the top of a ramp. The rings have the same mass, but one ring has a much larger radius than the other. Which ring will win the race to the bottom, and why? (Hint: Consider the potential energy, translational kinetic energy, and rotational kinetic energy of each ring.)
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- (a) Calculate the rotational kinetic energy (in J) of Saturn on its axis. (Assume its mass to be 5.69 ✕ 1026 kg, the period about its axis to be 10.2 h, and its diameter to be 1.21 ✕ 105 km.) __________J (b)What is the rotational kinetic energy (in J) of Saturn in its orbit around the Sun? (Assume its distance from the sun to be 1.43 ✕ 109 km and its period about the sun to be 10800 days.) __________JTitan completes one orbit about Saturn in 15.9 days and the average Saturn-Titan distance is 1.22 x 10° m. Calculate the angular speed o of Titan as it orbits Saturn. rad/s =Mars is about twice as far from the sun as Venus. A Martian year, which is the time it takes Mars to go around the sun, is about 3 times as long as a Venusian year. a) Draw a sketch of the scenario, including the given information. b) Use your sketch to determine which of these two planets has the greater rotational speed in its orbit? and b) Which planet has the greater linear speed?
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