Physics for Scientists and Engineers: A Strategic Approach, Vol. 1 (Chs 1-21) (4th Edition)
4th Edition
ISBN: 9780134110684
Author: Randall D. Knight (Professor Emeritus)
Publisher: PEARSON
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Chapter 13, Problem 42EAP
An object of mass m is dropped from height h above a planet of mass M and radius R. Find an expression for the object’s speed as it hits the ground.
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Chapter 13 Solutions
Physics for Scientists and Engineers: A Strategic Approach, Vol. 1 (Chs 1-21) (4th Edition)
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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- Consider the Earth and the Moon as a two-particle system. a. Find an expression for the gravitational field g of this two-particle system as a function of the distance r from the center of the Earth. (Do not worry about points inside either the Earth or the Moon.) b. Plot the scalar component of g as a function of distance from the center of the Earth.arrow_forwardSuppose the gravitational acceleration at the surface of a certain moon A of Jupiter is 2 m/s2. Moon B has twice the mass and twice the radius of moon A. What is the gravitational acceleration at its surface? Neglect the gravitational acceleration due to Jupiter, (a) 8 m/s2 (b) 4 m/s2 (c) 2 m/s2 (d) 1 m/s2 (e) 0.5 m/s2arrow_forwardWhat is the orbital radius of an Earth satellite having a period of 1.00 h? (b) What is unreasonable about this result?arrow_forward
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- A comet is in an elliptical orbit around the Sun. Its closest approach to the Sun is a distance of 4.9 x 1010 m (inside the orbit of Mercury), at which point its speed is 9.3 × 104 m/s. Its farthest distance from the Sun is far beyond the orbit of Pluto. What is its speed when it is 6 x 10¹2 m from the Sun? (This is the approximate distance of Pluto from the Sun.) speed= i ! m/sarrow_forwardAn asteroid, headed directly toward Earth, has a speed of 12 km/s relative to the planet when the asteroid is 10 Earth radii from Earth’s center. Neglecting the effects of Earth’s atmosphere on the asteroid, find the asteroid’s speed v when it reaches Earth’s surface.arrow_forwardIn 2014, the Rosetta space probe reached the comet Churyumov– Gerasimenko. Although the comet’s core is actually far from spherical, in this problem we’ll model it as a sphere with a mass of 1.0 x 1013 kg and a radius of 1.6 km. If a rock were dropped from a height of 1.0 m above the comet’s surface, how long would it take to hit the surface?arrow_forward
- A comet is in an elliptical orbit around the Sun. Its closest approach to the Sun is a distance of 5 x 1010 m (inside the orbit of Mercury), at which point its speed is 9.3 x 104 m/s. Its farthest distance from the Sun is far beyond the orbit of Pluto. What is its speed when it is 6 x 1012 m from the Sun? (This is the approximate distance of Pluto from the Sun.) speed = m/sarrow_forwardProblem 6: A meteoroid is moving towards a planet. It has mass m = 0.86x10° kg and speed v, = 1.1x10' m/s at distance R = 1.1x107 m from the center of the planet. The radius of the planet is R = 0.14x10' m. The mass of the planet is M = 3.2x1025 kg. There is no air around the planet. Rarrow_forwardThe solar system is 25,000 light years from the center of our Milky Way galaxy. One light year is the distance light travels in one year at a speed of 3.0 × 10 m/s. Astronomers have determined that the solar system is orbiting the center of the galaxy at a speed of 230 km/s. Assume that the sun is a typical star with a typical mass. If galactic matter is made up of stars, approximately how many stars are in the center of the galaxy? Note : Astronomers have spent many years trying to determine how many stars there are in the Milky Way. The number of stars seems to be only about 10% of what you'll find in part d. In other words, about 90% of the mass of the galaxy appears to be in some form other than stars. This is called the dark matter of the universe. No one knows what the dark matter is. This is one of the outstanding scientific questions of our day. ΠΫΠΙ ΑΣΦ N = 6.810¹2 Submit Previous Answers Request Answer X Incorrect; Try Again ? starsarrow_forward
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