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one orbit of the Earth? What is its speed? (6295 s, 7357 m/s) 3. Jupiter has a mass of 1.90 x 1027 kg and a radius of orbit of 7.78 a radius of orbit of 1.43 x 10¹2 m. What is the gravitational one of the planets is on the exact opposite side of the Sun from the other x 10¹¹ m. Saturn has a mass of 5.67 x 1026 kg and between Jupiter and Saturn when force of attraction planet? (1.47 x 10¹⁹ N) hill without leaving the

one orbit of the Earth? What is its speed? (6295 s, 7357 m/s) 3. Jupiter has a mass of 1.90 x 1027 kg and a radius of orbit of 7.78 a radius of orbit of 1.43 x 10¹2 m. What is the gravitational one of the planets is on the exact opposite side of the Sun from the other x 10¹¹ m. Saturn has a mass of 5.67 x 1026 kg and between Jupiter and Saturn when force of attraction planet? (1.47 x 10¹⁹ N) hill without leaving the

College Physics
College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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Uniform Circular Motion (UCM) and Universal Gravitation Review Questions 1. A spherical stone with a mass of 1.25 kg is attached to one end of a 90 cm string and is the swung in a horizontal circle. If the maximum force that the string can withstand before breaking is 450 N, what maximum speed can be attained by the stone? (18 m/s) 2. A satellite is located 1000 km above the surface of the Earth. How long would it take for the satellite to complete one orbit of the Earth? What is its speed? (6295 s, 7357 m/s) 3. Jupiter has a mass of 1.90 x 1027 kg and a radius of orbit of 7.78 x 10¹¹ m. Saturn has a mass of 5.67 x 1026 kg and a radius of orbit of 1.43 x 10¹2 m. What is the gravitational force of attraction between Jupiter and Saturn when one of the planets is on the exact opposite side of the Sun from the other planet? (1.47 x 10¹⁹ N) 4. A hill has a radius of curvature of 60 m. With what maximum speed can a car go over the hill without leaving the ground? (24.3 m/s) 5. A satellite is orbiting the Earth with a period of 60 h. Determine the height of the satellite above the Earth's surface. (7.41 x 107 m) 6. Two students with masses of 65 kg and 74 kg are standing 3.00 m apart. What is the gravitational force of attraction between the students? (3.56 x 10-8 N) 7. What would be the acceleration due to gravity on the Earth if Earth's mass was tripled and the radius was doubled? (7.36 m/s²) 8. An object with a mass of 5.00 kg is swung 22 times in 57.5 s. If the diameter of the circle is 6.00 m, what is the tension in the rope? (86.7 N) 9. A merry-go-round is being turned with a frequency of 0.25 Hz. A child, with a mass of 40 kg, is sitting on the floor of the merry-go-round which has a coefficient of friction of 0.35. What is the maximum distance from the centre where the child can sit without being thrown off the merry-go-round? Explain why the child would be thrown off. (1.39 m) 10. Two masses, 2000 kg and 5000 kg, are placed 20 m apart. A third mass of 500 kg is placed in between the two large masses a distance of 5.0 m from the larger mass. What is the force acting on the 500 kg mass? (6.37 x 10-6 N toward the 5000 kg mass)
Transcribed Image Text:Uniform Circular Motion (UCM) and Universal Gravitation Review Questions 1. A spherical stone with a mass of 1.25 kg is attached to one end of a 90 cm string and is the swung in a horizontal circle. If the maximum force that the string can withstand before breaking is 450 N, what maximum speed can be attained by the stone? (18 m/s) 2. A satellite is located 1000 km above the surface of the Earth. How long would it take for the satellite to complete one orbit of the Earth? What is its speed? (6295 s, 7357 m/s) 3. Jupiter has a mass of 1.90 x 1027 kg and a radius of orbit of 7.78 x 10¹¹ m. Saturn has a mass of 5.67 x 1026 kg and a radius of orbit of 1.43 x 10¹2 m. What is the gravitational force of attraction between Jupiter and Saturn when one of the planets is on the exact opposite side of the Sun from the other planet? (1.47 x 10¹⁹ N) 4. A hill has a radius of curvature of 60 m. With what maximum speed can a car go over the hill without leaving the ground? (24.3 m/s) 5. A satellite is orbiting the Earth with a period of 60 h. Determine the height of the satellite above the Earth's surface. (7.41 x 107 m) 6. Two students with masses of 65 kg and 74 kg are standing 3.00 m apart. What is the gravitational force of attraction between the students? (3.56 x 10-8 N) 7. What would be the acceleration due to gravity on the Earth if Earth's mass was tripled and the radius was doubled? (7.36 m/s²) 8. An object with a mass of 5.00 kg is swung 22 times in 57.5 s. If the diameter of the circle is 6.00 m, what is the tension in the rope? (86.7 N) 9. A merry-go-round is being turned with a frequency of 0.25 Hz. A child, with a mass of 40 kg, is sitting on the floor of the merry-go-round which has a coefficient of friction of 0.35. What is the maximum distance from the centre where the child can sit without being thrown off the merry-go-round? Explain why the child would be thrown off. (1.39 m) 10. Two masses, 2000 kg and 5000 kg, are placed 20 m apart. A third mass of 500 kg is placed in between the two large masses a distance of 5.0 m from the larger mass. What is the force acting on the 500 kg mass? (6.37 x 10-6 N toward the 5000 kg mass)
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