Schaum's Outline of College Physics, Twelfth Edition (Schaum's Outlines)
12th Edition
ISBN: 9781259587399
Author: Eugene Hecht
Publisher: McGraw-Hill Education
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Textbook Question
Chapter 3, Problem 92SP
Imagine a planet having a mass twice that of Earth and a radius equal to 1.414 times
that of Earth. Determine the acceleration due to gravity at its surface.
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Schaum's Outline of College Physics, Twelfth Edition (Schaum's Outlines)
Ch. 3 - 3.42 [I] Two forces act on a point object as...Ch. 3 - 3.43 [I] Compute algebraically the resultant of...Ch. 3 - 3.44 [I] Two forces, 80 N and 100 N, acting at...Ch. 3 - 3.45 [I] Find algebraically the (a) resultant...Ch. 3 - 3.46 [I] Having hauled it to the top of a...Ch. 3 - 3.47 [II] Repeat Problem 3.46 if the handle is...Ch. 3 - 3.48 [I] A force of 100 lb acting on a body...Ch. 3 - 3.49 [I] An unknown force acting on a 50.0-g...Ch. 3 - 3.50 [I] Once ignited, a small rocket motor on a...Ch. 3 - 3.51 [II] Typically, a bullet leaves a standard...
Ch. 3 - 3.52 [I] A force acts on a 2-kg mass and gives...Ch. 3 - 3.53 [I] An object has a mass of 300 g. (a)...Ch. 3 - 3.54 [I] A horizontal cable pulls a 200-kg cart...Ch. 3 - 3.55 [II] A 900-kg car is going 20 m/s along a...Ch. 3 - 3.56 [II] A 12.0-g bullet is accelerated from rest...Ch. 3 - 3.57 [II] A 20-kg crate hangs at the end of a long...Ch. 3 - 3.58 [II] A 5.0-kg mass hangs at the end of a...Ch. 3 - 3.59 [II] A 700-N man stands on a scale on the...Ch. 3 - 3.60 [II] Using the scale described in Problem...Ch. 3 - 3.61 [II] A cord passing over a frictionless,...Ch. 3 - 3.62 [II] An elevator starts from rest with a...Ch. 3 - 3.63 [II] Just as her parachute opens, a 60-kg...Ch. 3 - 3.64 [II] A 300-g mass hangs at the end of a...Ch. 3 - 3.65 [II] A 20-kg wagon is pulled along the level...Ch. 3 - 3.66 [II] A 12-kg box is released from the top of...Ch. 3 - 3.67 [I] A wooden crate weighing 1000 N is at...Ch. 3 - 3.68 [I] Someone wearing rubber-soled shoes is...Ch. 3 - 3.69 [I] A standing 580-N woman wearing climbing...Ch. 3 - 3.70 [II] For the situation outlined in Problem...Ch. 3 - 3.71 [II] An inclined plane makes an angle of ...Ch. 3 - 3.72 [II] A horizontal force F is exerted on a...Ch. 3 - 3.73 [II] An inclined plane making an angle of ...Ch. 3 - 3.74 [III] Repeat Problem 3.73 if the coefficient...Ch. 3 - 3.75 [III] A horizontal force of 200 N is required...Ch. 3 - 3.76 [II] Find the acceleration of the blocks in...Ch. 3 - 3.77 [III] Repeat Problem 3.76 if the coefficient...Ch. 3 - 3.78 [III] How large a force F is needed in Fig....Ch. 3 - 3.79 [III] In Fig. 3-28, how large a force F is...Ch. 3 - 3.80 [III] (a) What is the smallest force parallel...Ch. 3 - 3.81 [III] A 5.0-kg block rests on a incline. The...Ch. 3 - 3.82 [III] Three blocks with masses 6.0 kg, 9.0...Ch. 3 - 3.83 [I] Floating in space far from anything...Ch. 3 - 3.84 [I] Two cannonballs that each weigh 4.00...Ch. 3 - 3.85 [I] Imagine a planet and its moon...Ch. 3 - 3.86 [I] Two NASA vehicles separated by a...Ch. 3 - 3.87 [I] Suppose you are designing a small,...Ch. 3 - Prob. 88SPCh. 3 - Prob. 89SPCh. 3 - 3.90 [II] A space station that weighs 10.0 MN on...Ch. 3 - 3.91 [II] An object that weighs 2700 N on the...Ch. 3 - 3.92 [II] Imagine a planet having a mass twice...Ch. 3 - 3.93 [II] The Earth’s radius is about 6370 km. An...Ch. 3 - 3.94 [II] A man who weighs 1000 N on Earth stands...Ch. 3 - 3.95 [II] The radius of the Earth is about 6370...Ch. 3 - 3.96 [II] The fabled planet Dune has a diameter...Ch. 3 - 3.97 [III] An astronaut weighs 480 N on Earth. She...
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- Let gM represent the difference in the gravitational fields produced by the Moon at the points on the Earths surface nearest to and farthest from the Moon. Find the fraction gM/g, where g is the Earths gravitational field. (This difference is responsible for the occurrence of the lunar tides on the Earth.)arrow_forwardThe Sun has a mass of approximately 1.99 1030 kg. a. Given that the Earth is on average about 1.50 1011 m from the Sun, what is the magnitude of the Suns gravitational field at this distance? b. Sketch the magnitude of the gravitational field due to the Sun as a function of distance from the Sun. Indicate the Earths position on your graph. Assume the radius of the Sun is 7.00 108 m and begin the graph there. c. Given that the mass of the Earth is 5.97 1024 kg, what is the magnitude of the gravitational force on the Earth due to the Sun?arrow_forwardCalculate the effective gravitational field vector g at Earths surface at the poles and the equator. Take account of the difference in the equatorial (6378 km) and polar (6357 km) radius as well as the centrifugal force. How well does the result agree with the difference calculated with the result g = 9.780356[1 + 0.0052885 sin 2 0.0000059 sin2(2)]m/s2 where is the latitude?arrow_forward
- In Example 2.6, we considered a simple model for a rocket launched from the surface of the Earth. A better expression for the rockets position measured from the center of the Earth is given by y(t)=(R3/2+3g2Rt)2/3j where R is the radius of the Earth (6.38 106 m) and g is the constant acceleration of an object in free fall near the Earths surface (9.81 m/s2). a. Derive expressions for vy(t) and ay(t). b. Plot y(t), vy(t), and ay(t). (A spreadsheet program would be helpful.) c. When will the rocket be at y=4R? d. What are vy and ay when y=4R?arrow_forwardWhat is the orbital radius of an Earth satellite having a period of 1.00 h? (b) What is unreasonable about this result?arrow_forwardFor many years, astronomer Percival Lowell searched for a Planet X that might explain some of the perturbations observed in the orbit of Uranus. These perturbations were later explained when the masses of the outer planets and planetoids, particularly Neptune, became better measured (Voyager 2). At the time, however, Lowell had proposed the existence of a Planet X that orbited the Sun with a mean distance of 43 AU. With what period would this Planet X orbit the Sun?arrow_forward
- What is the gravitational acceleration close to the surface of a planet with a mass of 2ME and radius of 2RE where ME, and RE are the mass and radius of Earth, respectively? Answer as a multiple of g, the magnitude of the gravitational acceleration near Earths surface. (See Section 7.5.)arrow_forwardUnreasonable Results (a) Based on Kepler's laws and information on the orbital characteristics of the Moon, calculate the orbital radius for an Earth satellite having a period of 1.00 h. (b) What is unreasonable about this result? (c) What is unreasonable or inconsistent about the premise of a 1.00 h orbit?arrow_forward(a) Find the magnitude of the gravitational force between a planet with mass 7.50 1024 kg and its moon, with mass 2.70 1022 kg, if the average distance between their centers is 2.80 108 m. (b) What is the acceleration of the moon towards the planet? (c) What is the acceleration of the planet towards the moon?arrow_forward
- The mass of the Earth is approximately 5.98 1024 kg, and the mass of the Moon is approximately 7.35 1022 kg. The Moon and the Earth are separated by about 3.84 108 m. a. What is the magnitude of the gravitational force that the Moon exerts on the Earth? b. If Serena is on the Moon and her mass is 25 kg, what is the magnitude of the gravitational force on Serena due to the Moon? The radius of the Moon is approximately 1.74 106 m.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_forwardModel the Moons orbit around the Earth as an ellipse with the Earth at one focus. The Moons farthest distance (apogee) from the center of the Earth is rA = 4.05 108 m, and its closest distance (perigee) is rP = 3.63 108 m. a. Calculate the semimajor axis of the Moons orbit. b. How far is the Earth from the center of the Moons elliptical orbit? c. Use a scale such as 1 cm 108 m to sketch the EarthMoon system at apogee and at perigee and the Moons orbit. (The semiminor axis of the Moons orbit is roughly b = 3.84 108 m.)arrow_forward
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