PHYSICS F/SCI.+ENGR.,CHAPTERS 1-37
5th Edition
ISBN: 9780134378060
Author: GIANCOLI
Publisher: RENT PEARS
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Chapter 6, Problem 6P
To determine
The change that happens to the value of
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(II) A hypothetical planet has a mass 2.80 times that of Earth, but has the same radius. What is g near its surface?
(II) If you doubled the mass and tripled the radius of a planet, by what factor would g at its surface change?
(a)
(i)
Define gravitational field strength and state whether it
is a scalar or vector quantity.
A mass m is at a height h above the surface of a planet
(ii)
of mass M and radius R.
The gravitational field strength at height h is g. By
considering the gravitational force acting on massm,
derive an equation from Newton's law of gravitation to
express g in terms of M, R, h and the gravitational
conșțant G.
Chapter 6 Solutions
PHYSICS F/SCI.+ENGR.,CHAPTERS 1-37
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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- Check Your Understanding If we send a probe out of the solar system starting form Earth’s surface, do we only have to escape the Sun?arrow_forwardOn a planet whose radius is 1.2107m , the acceleration due to gravity is 18m/s2 . What is the mass of the planet?arrow_forwardAn average-sized asteroid located 5.0107km from Earth with mass 2.01013kg is detected headed directly toward Earth with speed of 2.0km/s . What will its speed be just before it hits our atmosphere? (You may ignore the size of the asteroid.)arrow_forward
- An object of mass m is located on the surface of a spherical planet of mass M and radius R. The escape speed from the planet does not depend on which of the following? (a) M (b) m (c) the density of the planet (d) R (e) the acceleration due to gravity on that planetarrow_forwardCheck Your Understanding By what factor must the radius change to reduce the orbital velocity of a satellite by one-half? By what factor would this change the period?arrow_forwardCompute directly the gravitational force on a unit mass at a point exterior to a homogeneous sphere of matter.arrow_forward
- An object of mass m is launched from a planet of mass M and radius R. a)Derive and enter an expression for the minimum launch speed needed for the object to escape gravity, i.e. to be able to just reach r = ∞. b)Calculate this minimum launch speed (called the escape speed), in meters per second, for a planet of mass M = 6 × 1023 kg and R = 76 × 104 km.arrow_forwardAssume a new planet discovered has a mass (1/81) that of Earth and a radius (1/4) that of Earth. Estimate the escape speed for a spacecraft from the surface of that planet. The escape speed from the surface of the Earth is 11.2 km/s.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
- (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.arrow_forwardWhat will be the escape velocity from the surface of the moon if it is 11.2 km/s at the surface of the earth? Assume that g at the surface of the moon is /5 that at the surface of the earth and the radius of the moon is '/4 that of the earth.arrow_forward(a) Calculate how much work is required to launch a spacecraft of mass m from the surface of the earth (mass mE, radius RE) and place it in a circular low earth orbit—that is, an orbit whose altitude above the earth’s surface is much less than RE. (As an example, the International Space Station is in low earth orbit at an altitude of about 400 km, much less than RE = 6370 km.) Ignore the kinetic energy that the spacecraft has on the ground due to the earth’s rotation. (b) Calculate the minimum amount of additional work required to move the spacecraft from low earth orbit to a very great distance from the earth. Ignore the gravitational effects of the sun, the moon, and the other planets. (c) Justify the statement “In terms of energy, low earth orbit is halfway to the edge of the universe.”arrow_forward
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