Student Workbook for Physics for Scientists and Engineers: A Strategic Approach, Vol 1. (Chs 1-21)
4th Edition
ISBN: 9780134110646
Author: Randall D. Knight (Professor Emeritus)
Publisher: PEARSON
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Chapter 13, Problem 53EAP
How much energy would be required to move the earth into a circular orbit with a radius 1.0 km larger than its current radius?
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A satellite is traveling around a planet in a circular orbit with radius R. It moves in a constant speed of v = 1.1 × 104 m/s. The mass of the planet is M = 6.04 × 1024 kg. The mass of the satellite is m = 1.2 × 103 kg.
a)Enter an expression for the kinetic energy KE of the satellite in terms of m and v. Calculate the value of KE in joules.
b)Enter an expression for the magnitude of the gravitational force F in terms of M, R, m and the gravitational constant G.
c)Enter an expression for the centripetal acceleration of the satellite ac in terms of the speed of the satellite, v, and R.
A satellite is traveling around a planet in a circular orbit with radius R. It moves in a constant speed of v = 1.1 × 104 m/s. The mass of the planet is M = 6.04 × 1024 kg. The mass of the satellite is m = 1.2 × 103 kg. First, find an expression for the gravitational potential energy PE in terms of G, M, m, and R.
a)Calculate the value of PE in joules.
b)Enter an expression for the total energy E of the satellite in terms of m and v.
c)Calculate the value of the total energy E in joules.
A 5.00 kg satellite is launched from the north pole into a circular orbit 800 km above the surface of the earth. How much energy is required to achieve this orbit? (The following set of questions will guide you to the answer.)
Me = 5.98x1024 kg; Re = 6.37x106 m. G = 6.67x10-11 N m2/ kg2.
Note: The problem specifies that the satellite is being launched from the north pole so that we can ignore the initial circular motion and initial kinetic energy as it rotates once every day. In reality, space agencies choose to launch rockets from southern latitudes to take advantage of the initial velocity they have due to this motion.
a. calculate the change in gravitational potential energy. (Give your answer in MJ.)
b. What is the gravitational force on the satellite? (Give your answer in N.)
c. What is the velocity of the satellite? (Give your answer in m/s.)
Note: The weight force is equal to m v2/R.
d. What is the kinetic energy in this orbit? (Give your answer in MJ.)
e. how much total energy…
Chapter 13 Solutions
Student Workbook for Physics for Scientists and Engineers: A Strategic Approach, Vol 1. (Chs 1-21)
Ch. 13 - Prob. 1CQCh. 13 - The gravitational force of a star on orbiting...Ch. 13 - A 1000 kg satellite and a 2000 kg satellite follow...Ch. 13 - How far away from the earth must an orbiting...Ch. 13 - A space station astronaut is working outside the...Ch. 13 - The free-fall acceleration at the surface of...Ch. 13 - Why is the gravitational potential energy of two...Ch. 13 - The escape speed from Planet X is 10,000 m/s....Ch. 13 - The mass of Jupiter is 300 times the mass of the...Ch. 13 - Satellites in near-earth orbit experience a very...
Ch. 13 - What is the ratio of the surfs gravitational force...Ch. 13 - What is the ratio of the sun’s gravitational force...Ch. 13 - The centers of a 10 kg lead ball and a 100 g lead...Ch. 13 - What is the force of attraction between a 50 kg...Ch. 13 - The International Space Station orbits 300 km...Ch. 13 - Two 65 kg astronauts leave earth in a spacecraft,...Ch. 13 - A 20 kg sphere is at the origin and a 10kg sphere...Ch. 13 - a. What is the free-fall acceleration at the...Ch. 13 - What is the free-fall acceleration at the surface...Ch. 13 - A sensitive gravimeter at a mountain observatory...Ch. 13 - Saturn’s moon Titan has a mass of 1.351023 kg and...Ch. 13 - A newly discovered planet has a radius twice as...Ch. 13 - Suppose we could shrink the earth without changing...Ch. 13 - Planet Z is 10.000 km in diameter. The free-fall...Ch. 13 - An astronaut on earth can throw a ball straight up...Ch. 13 - What is the escape speed from Jupiter?Ch. 13 - A rocket is launched straight up from the earth’s...Ch. 13 - A space station orbits the sun at the same...Ch. 13 - Prob. 19EAPCh. 13 - Nothing can escape the event horizon of a black...Ch. 13 - You have been visiting a distant planet. Your...Ch. 13 - Two meteoroids are heading for earth. Their speeds...Ch. 13 - A binary star system has to stars, each with the...Ch. 13 - The asteroid belt circles the sun between the...Ch. 13 - You are the science officer on a visit to a...Ch. 13 - Three satellites orbit a planet of radius R, as...Ch. 13 - A satellite orbits the sun with a period of 1.0...Ch. 13 - A new planet is discovered orbiting the star Vega...Ch. 13 - Prob. 29EAPCh. 13 - An earth satellite moves in a circular orbit at a...Ch. 13 - What are the speed and altitude of a...Ch. 13 - a. At what height above the earth is the free-fall...Ch. 13 - Prob. 33EAPCh. 13 - Pluto moves in a fairly elliptical orbit around...Ch. 13 - FIGURE P13.35 shows three masses. What are the...Ch. 13 - What are the magnitude and direction of the net...Ch. 13 - Prob. 37EAPCh. 13 - What is the total gravitational potential energy...Ch. 13 - Two spherical objects have a combined mass of 150...Ch. 13 - Two 100 kg lead spheres are suspended from...Ch. 13 - Prob. 41EAPCh. 13 - An object of mass m is dropped from height h above...Ch. 13 - A projectile is shot straight up from the earth’s...Ch. 13 - Prob. 44EAPCh. 13 - 45. An astronaut circling the earth at an altitude...Ch. 13 - Suppose that on earth you can jump straight up a...Ch. 13 - Prob. 47EAPCh. 13 - Two spherical asteroids have the same radius R....Ch. 13 - A starship is circling a distant planet of radius...Ch. 13 - The two stars in a binary star system have masses...Ch. 13 - A 4000 kg lunar lander is in orbit 50 km above the...Ch. 13 - The 75,000 kg space shuttle used to fly in a...Ch. 13 - How much energy would be required to move the...Ch. 13 - NASA would like to place a satellite in orbit...Ch. 13 - In 2014, the European Space Agency placed a...Ch. 13 - A satellite orbiting the earth is directly over a...Ch. 13 - FIGURE P13.57 shows two planets of mass m orbiting...Ch. 13 - Figure 13.17 showed a graph of log T versus log r...Ch. 13 - Large stars can explode as they finish burning...Ch. 13 - The solar system is 25,000 light years from the...Ch. 13 - Three stars, each with the mass of our sun, form...Ch. 13 - Comets move around the sun in very elliptical...Ch. 13 - A 55,000 kg space capsule is in a...Ch. 13 - Prob. 64EAPCh. 13 - Prob. 65EAPCh. 13 - Prob. 66EAPCh. 13 - Two Jupiter size planets are released from rest...Ch. 13 - A satellite in a circular orbit of radius r has...Ch. 13 - While visiting Planet Physics. you toss a rock...Ch. 13 - A moon lander is orbiting the moon at an altitude...Ch. 13 - Let’s look in more detail at how a satellite is...Ch. 13 - FIGURE CP13.72 shows a particle of mass m at...
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