COLLEGE PHYSICS
2nd Edition
ISBN: 9781464196393
Author: Freedman
Publisher: MAC HIGHER
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Chapter 10, Problem 41QAP
To determine
The distance of the point from earth at which the gravitational force experienced by a space probe having mass
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A mad scientist invents an antigravity device that shields the region of space above a large metal plate from the earth’s gravitational field. Specifically, if the device is turned on at time t = 0, the effective magnitude of the gravitational acceleration in the region above the plate decreases exponentially with time according to mag(a→a→) = ge−q t , where g is the usual gravitational field strength and q is a constant. When enough time has passed that qt becomes large, the effective gravitational field above the plate becomes very small compared to g. Assume that the value of q is 3.0 when expressed in the appropriate SI units. (a) What are the SI units of q? Choose one _____(m, m/s, s, 1/s)
(b) The mad scientist keeps a 10-kg bowling ball on a shelf above the plate. When the mad scientist throws the gigantic wall switch to turn on the apparatus one day, the vibrations jostle the bowling ball loose, and it rolls off the shelf. The scientist watches in horror as the ball smashes into…
Two 2.8 KG physical science textbooks on a bookshelf or a 0.13 M a part what is the magnitude of the gravitational attraction between the books?
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Chapter 10 Solutions
COLLEGE PHYSICS
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- A satellite of mass 16.7 kg in geosynchronous orbit at an altitude of 3.58 104 km above the Earths surface remains above the same spot on the Earth. Assume its orbit is circular. Find the magnitude of the gravitational force exerted by the Earth on the satellite. Hint: The answer is not 163 N.arrow_forwardA 200-kg object and a 500-kg object are separated by 4.00 m. (a) Find the net gravitational force exerted by these objects on a 50.0-kg object placed midway between them. (b) At what position (other than an infinitely remote one) can the 50.0-kg object be placed so as to experience a net force of zero from the other two objects?arrow_forwardFigure P7.45 shows a picture of American astronaut Clay Anderson experiencing weightlessness on board the International Space Station. a. Most people have the misconception that a person in a spacecraft is weightless because he or she is no longer affected by gravity. Show that this premise cannot be true by computing the gravitational field of the Earth at an altitude of 200 km the typical altitude of a spacecraft in orbit. Compare this result with the gravitational field on the surface of the Earth. b. Why would astronauts in orbit experience weightlessness even if they are experiencing a gravitational field (and therefore a gravitational force)?arrow_forward
- Two identical isolated particles, each of mass 2.00 kg, are separated by a distance of 30.0 cm. What is the magnitude of the gravitational force exerted by one particle on the other?arrow_forwardA synchronous satellite, which always remains above the same point on a planets equator, is put in orbit around Jupiter to study that planets famous red spot. Jupiter rotates once every 9.84 h. Use the data of Table 13.2 to find the altitude of the satellite above the surface of the planet.arrow_forwardReview. A student proposes to study the gravitational force by suspending two 100.0-kg spherical objects at the lower ends of tables from the ceiling of a tall cathedral and measuring the deflection of the cables from the vertical. The 45.00-m-long cables are attached to the ceiling 1.000 m apart. The first object is suspended, and its position is carefully measured. The second object is suspended, and the two objects attract each other gravitationally. By what distance has the first objet I moved horizontally from its initial position due to the gravitational attraction to the other object? Suggestion: Keep in mind that this distance will be very small and make appropriate approximations.arrow_forward
- The acceleration due to gravity on the surface of a planet is three times as large as it is on the surface of Earth. The mass density of the planet is known to be twice that of Earth. What is the radius of this planet in terms of Earth’s radius?arrow_forwardGanymede is the largest of Jupiters moons. Consider a rocket on the surface of Ganymede, at the point farthest from the planet (Fig. P13.23). Model the rocket as a particle. (a) Does the presence of Ganymede make Jupiter exert a larger, smaller, or same size force on the rocket compared with the force it would exert if Ganymede were not interposed? (b) Determine the escape speed for the rocket from the planetsatellite system. The radius of Ganymede is 2.64 106 m, and its mass is 1.495 1023 kg. The distance between Jupiter and Ganymede is 1.071 109 m, and the mass of Jupiter is 1.90 1027 kg. Ignore the motion of Jupiter and Ganymede as they revolve about their center of mass. Figure P13.23arrow_forwardWhen a star dies, much of its mass may collapse into a single point known as a black hole. The gravitational force of a black hole on surrounding astronomical objects can be very great. Astronomers estimate the strength of this force by observing the orbits of such objects around a black hole. What is the gravitational force exerted by a black hole on a 1-solar-mass star whose orbit has a 1.4 1010 m radius and a period of 5.6 days?arrow_forward
- In your own words, describe the difference between the terms gravitational force and gravitational field.arrow_forward(a) Calculate the acceleration due to gravity on the surface of the Sun. (b) By what factor would your weight increase if you could stand on the Sun? (Never mind that you cannot.)arrow_forwardTwo 3.3 kg physical science textbooks on a bookshelf are spaced 0.21 m apart.(a) What is the magnitude of the gravitational attraction between the books?arrow_forward
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