College Physics
10th Edition
ISBN: 9781285737027
Author: Raymond A. Serway, Chris Vuille
Publisher: Cengage Learning
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Question
Chapter 7, Problem 41P
(a)
To determine
The period of the orbit.
(b)
To determine
The speed of the satellite.
(c)
To determine
The acceleration of the satellite.
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A satellite is orbiting around a planet in a circular orbit. The radius of the orbit, measured from the center of the planet is R = 1.8 × 107 m. The mass of the planet is M = 4.8 × 1024 kg.
a)Express the magnitude of the gravitational force F in terms of M, R, the gravitational constant G, and the mass m of the satellite.
b)Express the magnitude of the centripetal acceleration ac of the satellite in terms of the speed of the satellite v, and R.
c) Express the speed v in terms of G, M and R.
A distant planet has a mass of 5.00 x 1023 kg and a radius of 6.00 x 106 m. Someone is standing on the surface of the planet and throws a rock straight up with initial speed of 7.0 m/s. What is the maximum hight reached by the rock above the point from where it was thrown?
A satellite is in a circular orbit around the Earth at an altitude of 2.80×106 m. Find (a) the period of the orbit, (b) the speed of the satellite, and (c) the acceleration of the satellite. Hint: Modify Equation 7.23 so it is suitable for objects orbiting the Earth rather than the Sun.
Chapter 7 Solutions
College Physics
Ch. 7.1 - A rigid body is rotating counterclockwise about a...Ch. 7.1 - Suppose the change in angular position for each of...Ch. 7.2 - Consider again the pairs of angular positions for...Ch. 7.3 - Andrea and Chuck are riding on a merry-go-round....Ch. 7.3 - When the merry-go-round of Quick Quiz 7.4 is...Ch. 7.4 - A racetrack is constructed such that two arcs of...Ch. 7.4 - An object moves in a circular path with constant...Ch. 7.5 - A ball is falling toward the ground. Which of the...Ch. 7.5 - A planet has two moons with identical mass. Moon 1...Ch. 7.6 - Suppose an asteroid has a semimajor axis of 4 AU....
Ch. 7 - Math Review A circular track has a radius of 125...Ch. 7 - Math Review (a) Convert 47.0 to radians, using the...Ch. 7 - (a) Convert 12.0 rev/min to radians per second....Ch. 7 - A carnival carousel accelerates nonuniformly from...Ch. 7 - Prob. 5WUECh. 7 - A grindstone increases in angular speed uniformly...Ch. 7 - A bicyclist starting at rest produces a constant...Ch. 7 - A car of mass 1 230 kg travels along a circular...Ch. 7 - A man whirls a 0.20-kg piece of lead attached to...Ch. 7 - (a) Find the magnitude of the gravity force...Ch. 7 - What is the gravitational acceleration close to...Ch. 7 - Prob. 12WUECh. 7 - Prob. 13WUECh. 7 - Prob. 14WUECh. 7 - A comet has a period of 76.3 years and moves in an...Ch. 7 - In a race like the Indianapolis 500, a driver...Ch. 7 - If someone told you that astronauts are weightless...Ch. 7 - If a cars wheels are replaced with wheels of...Ch. 7 - At night, you are farther away from the Sun than...Ch. 7 - A pendulum consists of a small object called a bob...Ch. 7 - Because of Earths rotation about its axis, you...Ch. 7 - It has been suggested that rotating cylinders...Ch. 7 - Describe the path of a moving object in the event...Ch. 7 - A pail of water can be whirled in a vertical...Ch. 7 - Use Keplers second law to convince yourself that...Ch. 7 - Is it possible for a car to move in a circular...Ch. 7 - A child is practicing for a BMX race. His speed...Ch. 7 - An object executes circular motion with constant...Ch. 7 - Angular Speed and Angular Acceleration (a) Find...Ch. 7 - A wheel has a radius of 4.1 m. How far (path...Ch. 7 - The tires on a new compact car have a diameter of...Ch. 7 - A potters wheel moves uniformly from rest to an...Ch. 7 - A dentists drill starts from rest. 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- A satellite is orbiting around a planet in a circular orbit. The radius of the orbit, measured from the center of the planet is R = 1.4 × 107 m. The mass of the planet is M = 4.4 × 1024 kg. Express the magnitude of the gravitational force F in terms of M, R, the gravitational constant G, and the mass m of the satellite. F = Express the magnitude of the centripetal acceleration ac of the satellite in terms of the speed of the satellite v, and R. ac = Express the speed v in terms of G, M and R. v = Calculate the numerical value of v, in m/s. v =arrow_forwardYou are designing a spacecraft intended to monitor a human expedition to Mars (mass 6.42 * 10^23 kg, radius 3.39 * 10^6 m). This spacecraft will orbit around the Martian equator with an orbital period of 24.66 h, the same as the rotation period of Mars, so that it will always be above the same point on the equator. (a) What must be the radius of the orbit? (b) What will be the speed of the spacecraft in its orbit?arrow_forwardA satellite experiences a gravitational force of magnitude F on the surface of the earth. The radius of the earth is R. The satellite now circles the earth at an unknown height above the surface of the earth and experiences a gravitational force of magnitude % F. This unknown height is . A R 2 R 3 R B D 4 Rarrow_forward
- orbit, measured from the center of the planet is R = 2.2 × 107 m. The mass of the planet is M = 6.4 x 1024 kg. Problem 3: A satellite is orbiting around a planet in a circular orbit. The radius of thearrow_forwardA satellite is orbiting around a planet in a circular orbit. The radius of the orbit, measured from the center of the planet is R = 1.8 × 107 m. The mass of the planet is M = 4.8 × 1024 kg. a)Express the speed v in terms of G, M and R. b)Express the magnitude of the centripetal acceleration ac of the satellite in terms of the speed of the satellite v, and R. c)Calculate the numerical value of v, in m/s.arrow_forwardA satellite is in a circular orbit around the Earth at an altitude of 2.80 × 106 m. Find (a)the period of the orbit, (b) the speed of the satellite, and (c) the acceleration of thesatellite. Hint: Modify Equation 7.23 so it is suitable for objects orbiting the Earthrather than the Sunarrow_forward
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