Pearson eText -- Physics for Scientists and Engineers with Modern Physics -- Instant Access (Pearson+)
5th Edition
ISBN: 9780137488179
Author: Douglas Giancoli
Publisher: PEARSON+
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(III) (a) Show that if a satellite orbits very near the surface
of a planet with period T, the density (= mass per unit
volume) of the planet is p = m/V = 3™/GT². (b) Esti-
mate the density of the Earth, given that a satellite near
the surface orbits with a period of 85 min. Approximate
the Earth as a uniform sphere.
(II) A proposed space station consists of a circular tube that
will rotate about its center
(like a tubular bicycle tire),
Fig. 5–39. The circle formed by
the tube has a diameter of
1.1 km. What must be the rota-
1.1 km
tion speed (revolutions per day)
if an effect nearly equal to
gravity at the surface of the
Earth (say, 0.90 g) is to be felt?
FIGURE 5-39 Problem 13.
(c) A small object was found to drop above the surface of a big planet with no initial
velocity and it fell 13.5 m in 3 s. If the radius of the planet is 5.82 x 10° m, calculate
the small object's acceleration during the fall and the mass of the big planet.
Chapter 6 Solutions
Pearson eText -- Physics for Scientists and Engineers with Modern Physics -- Instant Access (Pearson+)
Ch. 6.3 - Suppose you could double the mass of a planet but...Ch. 6.4 - Two satellites orbit the Earth in circular orbits...Ch. 6.4 - Could astronauts in a spacecraft far out in space...Ch. 6.5 - Suppose there were a planet in circular orbit...Ch. 6 - Does an apple exert a gravitational force on the...Ch. 6 - The Suns gravitational pull on the Earth is much...Ch. 6 - Will an object weigh more at the equator or at the...Ch. 6 - Why is more fuel required for a spacecraft to...Ch. 6 - The gravitational force on the Moon due to the...Ch. 6 - How did the scientists of Newton's era determine...
Ch. 6 - If it were possible to drill a hole all the way...Ch. 6 - A satellite in a geosynchronous orbit stays over...Ch. 6 - Which pulls harder gravitationally, the Earth on...Ch. 6 - Would it require less speed to launch a satellite...Ch. 6 - An antenna loosens and becomes detached from a...Ch. 6 - Describe how careful measurements of the variation...Ch. 6 - The Sun is below us at midnight, nearly in line...Ch. 6 - When will your apparent weight be the greatest, as...Ch. 6 - If the Earths mass were double what it actually...Ch. 6 - The source of the Mississippi River is closer to...Ch. 6 - People sometimes ask. What keeps a satellite up in...Ch. 6 - Explain how a runner experiences free fall or...Ch. 6 - If you were in a satellite orbiting the Earth, how...Ch. 6 - Is the centripetal acceleration of Mars in its...Ch. 6 - The mass of the planet Pluto was not known until...Ch. 6 - The Earth moves faster in its orbit around the Sun...Ch. 6 - Keplers laws tell us that a planet moves faster...Ch. 6 - Does your body directly sense a gravitational...Ch. 6 - Discuss the conceptual differences between g as...Ch. 6 - Prob. 1MCQCh. 6 - Prob. 2MCQCh. 6 - Prob. 3MCQCh. 6 - Prob. 4MCQCh. 6 - Prob. 5MCQCh. 6 - Prob. 7MCQCh. 6 - Prob. 9MCQCh. 6 - Prob. 11MCQCh. 6 - Prob. 12MCQCh. 6 - Prob. 1PCh. 6 - Prob. 2PCh. 6 - (I) Calculate the acceleration due to gravity on...Ch. 6 - Prob. 4PCh. 6 - Prob. 5PCh. 6 - Prob. 6PCh. 6 - Prob. 7PCh. 6 - Prob. 8PCh. 6 - Prob. 9PCh. 6 - Prob. 10PCh. 6 - Prob. 11PCh. 6 - Prob. 12PCh. 6 - (II) Suppose the mass of the Earth were doubled,...Ch. 6 - (II) Determine the mass of the Sun using the known...Ch. 6 - (II) Estimate the acceleration due to gravity at...Ch. 6 - Prob. 16PCh. 6 - Prob. 17PCh. 6 - Prob. 18PCh. 6 - Prob. 19PCh. 6 - Prob. 20PCh. 6 - Prob. 21PCh. 6 - Prob. 22PCh. 6 - (II) Two identical point masses, each of mass M,...Ch. 6 - Prob. 24PCh. 6 - (III) (a) Use the binomial expansion...Ch. 6 - Prob. 26PCh. 6 - Prob. 27PCh. 6 - Prob. 28PCh. 6 - Prob. 29PCh. 6 - Prob. 30PCh. 6 - Prob. 31PCh. 6 - Prob. 32PCh. 6 - Prob. 33PCh. 6 - Prob. 34PCh. 6 - Prob. 35PCh. 6 - Prob. 36PCh. 6 - Prob. 37PCh. 6 - Prob. 38PCh. 6 - Prob. 39PCh. 6 - Prob. 40PCh. 6 - Prob. 41PCh. 6 - Prob. 42PCh. 6 - Prob. 43PCh. 6 - Prob. 44PCh. 6 - (I) Neptune is an average distance of 4.5109 km...Ch. 6 - Prob. 46PCh. 6 - (I) Use Keplers laws and the period of the Moon...Ch. 6 - (I) Determine the mass of the Earth from the known...Ch. 6 - (II) Table 63 gives the mean distance, period, and...Ch. 6 - (II) Determine the mean distance from Jupiter for...Ch. 6 - Prob. 51PCh. 6 - Prob. 52PCh. 6 - Prob. 53PCh. 6 - (II) The asteroid belt between Mars and Jupiter...Ch. 6 - Prob. 55PCh. 6 - (III) The orbital periods and mean orbital...Ch. 6 - (III) The comet Hale-Bopp has a period of 2400...Ch. 6 - Prob. 59PCh. 6 - (II) (a) What is the gravitational field at the...Ch. 6 - Prob. 61PCh. 6 - Prob. 62GPCh. 6 - Prob. 63GPCh. 6 - How far above the Earths surface will the...Ch. 6 - Prob. 65GPCh. 6 - Show that the rate of change of your weight is...Ch. 6 - Prob. 67GPCh. 6 - Prob. 68GPCh. 6 - Prob. 69GPCh. 6 - Prob. 70GPCh. 6 - Prob. 71GPCh. 6 - Prob. 72GPCh. 6 - Prob. 74GPCh. 6 - Newton had the data listed in Table 64, plus the...Ch. 6 - Prob. 76GPCh. 6 - Prob. 77GPCh. 6 - The gravitational force at different places on...Ch. 6 - Prob. 79GPCh. 6 - A plumb bob (a mass m hanging on a string) is...Ch. 6 - A science-fiction tale describes an artificial...Ch. 6 - Prob. 82GPCh. 6 - Suppose all the mass of the Earth were compacted...Ch. 6 - Prob. 84GPCh. 6 - Between the orbits of Mars and Jupiter, several...Ch. 6 - Prob. 86GP
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Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, physics and related others by exploring similar questions and additional content below.Similar questions
- (I) At the surface of a certain planet, the gravitational acceleration g has a magnitude of 12.0 m/s2 A 24.0-kg brass ball is transported to this planet. What is (a) the mass of the brass ball on the Earth and on the planet, and (b) the weightof the brass ball on the Earth and on the planet?arrow_forward(III) The comet Hale–Bopp has an orbital period of2400 years. (a) What is its mean distance from the Sun? (b) Atits closest approach, the comet is about 1.0 AU from the Sun( 1 AU distance from Earth to the Sun). What is thefarthest distance? (c) What is the ratio of the speed at theclosest point to the speed at the farthest point?arrow_forward(II) At what rate must a cylindrical spaceship rotate if occupants are to experience simulated gravity of 0.70 g? Assume the spaceship’s diameter is 32 m, and give your answer as the time needed for one revolution.arrow_forward
- NASA is expected to send a 2600-kg satellite 450 km above the earth’s surface. What is its radius? (b) What speed will it have (Hint: Earth’s mass is 5.97 x 1024 kg).?g)arrow_forward(c) As an aerospace engineer, your spaceship orbits the Moon at a height of 20 km. Assuming it is subject only to the gravitational pull of the Moon, find its speed and the time it takes for one orbit. For the Moon, its mass is 7.34 x 1022 kg and its radius is 1.738 x 10 m.arrow_forward(II) Our Sun revolves about the center of our Galaxy (mg - 4 × 1041 kg) at a distance of about 3 × 10ª light- years [1 ly = (3.00 x 10°m/s) · (3.16 × 107s/yr)·(1.00 yr)]. What is the period of the Sun's orbital motion about the center of the Galaxy?arrow_forward
- (II) Determine the time it takes for a satellite to orbit theEarth in a circular near-Earth orbit. A “near-Earth” orbitis at a height above the surface of the Earth that is verysmall compared to the radius of the Earth. [Hint: You maytake the acceleration due to gravity as essentially the same asthat on the surface.] Does your result depend on the massof the satellite?arrow_forwardA body is raised to a height (nR) from the surface of earth of radius (R). Show that ratio of acceleration due to gravity on surface to that at height is (n + 1)²arrow_forwardThe radius of Earth is about 6400 km. How far upward from the surface would a body feel a value of gabout half of that on the surface of Earth?arrow_forward
- (II) A 0.55-kg ball, attached to the end of a horizontalcord, is revolved in a circle of radius 1.3 m on a frictionlesshorizontal surface. If the cord will break when the tension init exceeds 75 N, what is the maximum speed the ball can have?arrow_forwardA man has a mass of 75 kg on the Earths surface. How far above the earths surface does he have to go to "lose" 10 % of his body weight?arrow_forward13–67. The vehicle is designed to combine the feel of a motorcycle with the comfort and safety of an automobile. If the vehicle is traveling at a constant speed of 80 km/h along a circular curved road of radius 100 m, determine the tilt angle 0 of the vehicle so that only a normal force from the seat acts on the driver. Neglect the size of the driver.arrow_forward
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