EBK PHYSICS FOR SCIENTISTS & ENGINEERS
5th Edition
ISBN: 9780134296074
Author: GIANCOLI
Publisher: VST
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Chapter 6, Problem 26P
To determine
The percentage of change in the value of
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Assuming the earth to be a sphere of uniform mass density, how much would a body weigh half way down to the centre of the earth if it weighed 250 N on the surface?
[#1611] Nor any drop to drink
Estimate the mass of water on the earth. The density of water is 1000 kg · m-3. Here are some approximations you can use:
Compared with the oceans, lakes and rivers are tiny. Clouds have very low density. There is (still) lots of ice in the polar regions, but much less area than in the oceans. So
neglect all except the oceans, which cover roughly 2/3 of the earth.
Looking at charts of the oceans, we see that the depth is typically several thousand m (and a serious search tells me the average depth is 4700 m). The radius of the earth
is about 6000 km. The surface area of a sphere is 47 R2.
This is an order or magnitude question. Express your answer in kg, as a power of 10. For example, if you think the answer is 104 kg, enter 10^4
Recall that density is massdivided by volume Calculate the average density of the earth in g>cm3, assuming our planet is a perfect sphere.
Chapter 6 Solutions
EBK PHYSICS FOR SCIENTISTS & ENGINEERS
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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- The mean diameter of the planet Mercury is 4.88106m , and the acceleration due to gravity at its surface is 3.78m/s2 . Estimate the mass of this planet.arrow_forwardRecall that density is massdivided by volume A neutron star is the remnant of certain supernovae (explosions of giant stars). Typically, neutron stars are about 20 km in diameter and have about the same mass as our sun. What is a typical neutron star density in g>cm3?arrow_forward(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.arrow_forward
- A simple model (Fig. 10–56) considers a continent as a block (density = 2800 kg/m³) floating in the mantle rock around it (density = 3300 kg/m³). Assuming the continent is 35 km thick (the average thickness of the Earth's conti- nental crust), estimate the height of the continent above the surrounding mantle rock. Continent (density = 2800 kg/m³) Img Mantle rock (density = 3300 kg/m³) FIGURE 10-56 Problem 84.arrow_forward(III) The Earth is not a uniform sphere, but has regions of varying density. Consider a simple model of the Earth divided into three regions-inner core, outer core, and man- tle. Each region is taken to have a unique constant density (the average density of that region in the real Earth): Region Radius (km) Density (kg/m³) Inner Core 0-1220 13,000 Outer Core 1220–3480 11,100 Mantle 3480–6380 4400 (a) Use this model to predict the average density of the entire Earth. (b) If the radius of the Earth is 6380 km and its mass is 5.98 × 1024 kg, determine the actual average density of the Earth and compare it (as a percent difference) with the one you determined in (a).arrow_forwardSuppose you could pack neutrons (mass = 1.67 × 10-27 kg) inside a small ball of radius 0.026 m in the same way as neutrons and protons are packed together in the nucleus of an atom. (a) Approximately how many neutrons would fit inside the ball? (b) A small object is placed 3.7 m from the center of the neutron-packed ball, and the ball exerts a gravitational force on it. When the object is released, what is the magnitude of the acceleration that it experiences? Ignore the gravitational force exerted on the object by the earth.arrow_forward
- 7. (III) The Earth is not a uniform sphere, but has regions of varying density. Consider a simple model of the Earth divided into three regions-inner core, outer core, and mantle. Each region is taken to have a unique constant density (the average density of that region in the real Earth): Region Radius (km) Density (kg/m³) Inner Core 0–1220 13,000 Outer Core 1220–3480 11,100 Mantle 3480–6380 4400 (a) Use this model to predict the average density of the entire Earth. (b) If the radius of the Earth is 6380 km and its mass is 5.98 × 1024 kg, determine the actual average density of the Earth and compare it (as a percent difference) with the one you determined in (a).arrow_forwardIn Fig. 13-32, a square of edge length mị 20.0 cm is formed by four spheres of masses m; = 5.00 g, m, = 3.00 g, m3 = 1.00 g, and m4 = 5.00 g. In unit-vector notation, what is the net gravitational force from them on a central sphere with mass m, = 2.50 g? •7 One dimension. In Fig. 13-33, two point particles are fixed on an x axis sepa- mg roted bu dictonged Porticle 4 hor morc m •6arrow_forward12–125. The car travels around the circular track having a radius of r = 300 m such that when it is at point A it has a velocity of 5 m/s, which is increasing at the rate of i = (0.061) m/s², where t is in seconds. Determine the magnitudes of its velocity and acceleration when it has traveled one-third the way around the track. 12–126. The car travels around the portion of a circular track having a radius of r= 500 ft such that when it is at point A it has a velocity of 2 ft/s, which is increasing at the rate of i = (0.0021) ft/s², where t is in seconds. Determine the magnitudes of its velocity and acceleration when it has traveled three-fourths the way around the track.arrow_forward
- 13–67. 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_forwardUnder some circumstances, a star can collapse into an extremelydense object made mostly of neutrons and called a neutron star.The density of a neutron star is roughly 10^14 times as great as that ofordinary solid matter. Suppose we represent the star as a uniform, solid,rigid sphere, both before and after the collapse. The star’s initial radiuswas 7.0 * 10^5 km (comparable to our sun); its final radius is 16 km. Ifthe original star rotated once in 30 days, find the angular speed of theneutron star.arrow_forwardA bathyscaphe is a deep sea diving submersible. One such submersible was spherical in shape with a diameter of 5.20 m and had a mass of 64000 kg when occupied was tethered to the bottom of the sea with a cable. The volume of a sphere with radius R is 4/3pieR^3 (c)Calculate the magnitude and direction of the acceleration of the research vessel if the cable was cut.arrow_forward
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