Problem 1CQ: It is often said that astronauts in orbit experience weightlessness because they are beyond the pull... Problem 2CQ: When a person passes you on the street, you do not feel a gravitational tug. Explain. Problem 3CQ: Imagine bringing the tips of your index fingers together. Each finger contains a certain finite... Problem 4CQ: Does the radius vector of Mars sweep out the same amount of area per time as that of the Earth? Why... Problem 5CQ: When a communications satellite is placed in a geosynchronous orbit above the equator, it remains... Problem 6CQ: The Mass of Pluto On June 22, 1978, James Christy made the first observation of a moon orbiting... Problem 7CQ: Rockets are launched into space from Cape Canaveral in an easterly direction. Is there an advantage... Problem 8CQ: One day in the future you may take a pleasure cruise to the Moon. While there you might climb a... Problem 9CQ: Apollo astronauts orbiting the Moon at low altitude noticed occasional changes in their orbit that... Problem 10CQ Problem 11CQ: The force exerted by the Sun on the Moon is more than twice the force exerted by the Earth on the... Problem 12CQ Problem 1PCE: System A has masses m and m separated by a distance r, system B has masses m and 2m separated by a... Problem 2PCE: A 6.3-kg bowling ball and a 7.1-kg bowling ball rest on a rack 0.85 m apart. (a) What is the force... Problem 3PCE: A communications satellite with a mass of 520 kg is in a circular orbit about the Earth. The radius... Problem 4PCE: The Attraction of Ceres Ceres, the largest asteroid known, has a mass of roughly 8.7 1020 kg. If... Problem 5PCE: In one hand you hold a 0.13-kg apple, in the other hand a 0.22-kg orange. The apple and orange are... Problem 6PCE: Predict/Calculate A spaceship of mass m travels from the Earth to the Moon along a line that passes... Problem 7PCE: At new moon, the Earth, Moon, and Sun are in a line, as indicated in Figure 12-33. Find the... Problem 8PCE: When the Earth, Moon, and Sun form a right triangle, with the Moon located at the right angle, as... Problem 9PCE: Repeat the previous problem, this time finding the magnitude and direction of the net force acting... Problem 10PCE: Predict/Calculate Three 7.25-kg masses are at the corners of an equilateral triangle and located in... Problem 11PCE: Predict/Calculate Four masses are positioned at the corners of a rectangle, as indicated in Figure... Problem 12PCE: Suppose that three astronomical objects (1, 2, and 3) are observed to lie on a line, and that the... Problem 13PCE: Find the acceleration due to gravity on the surface of (a) Mercury and (b) Venus. Problem 14PCE: At what altitude above the Earths surface is the acceleration due to gravity equal to g/4? Problem 15PCE: Two 6.4-kg bowling balls, each with a radius of 0.11 m, are in contact with one another. What is the... Problem 16PCE: What is the acceleration due to Earths gravity at a distance from the center of the Earth equal to... Problem 17PCE: Extrasolar Planet Gravity Kepler-62e is an exoplanet that orbits within the habitable zone around... Problem 18PCE: Predict/Calculate At a certain distance from the center of the Earth, a 5.0-kg object has a weight... Problem 19PCE: The acceleration due to gravity on the Moons surface is known to be about one-sixth the acceleration... Problem 20PCE: Gravitational Tug of War At some point along the direct path from the center of the Earth to the... Problem 21PCE: Predict/Calculate An Extraterrestrial Volcano Several volcanoes have been observed erupting on the... Problem 22PCE: Consider an asteroid with a radius of 19 km and a mass of 3.35 1015 kg. Assume the asteroid is... Problem 23PCE Problem 24PCE: Predict/Explain The Earth-Moon Distance Is Increasing Laser reflectors left on the surface of the... Problem 25PCE: Apollo Missions On Apollo missions to the Moon, the command module orbited at an altitude of 110 km... Problem 26PCE Problem 27PCE: An Extrasolar Planet In July of 1999 a planet was reported to be orbiting the Sun-like star Iota... Problem 28PCE: Phobos, one of the moons of Mars, orbits at a distance of 9378 km from the center of the red planet.... Problem 29PCE: Predict/Calculate An Asteroid with Its Own Moon The asteroid 243 Ida has its own small moon, Dactyl.... Problem 30PCE: GPS Satellites GPS (Global Positioning System) satellites orbit at an altitude of 2.0 107 m. Find... Problem 31PCE: Predict/Calculate Two satellites orbit the Earth, with satellite 1 at a higher altitude than... Problem 32PCE: Predict/Calculate Satellite A has a mass of 1000 kg and satellite B has a mass of 2000 kg. (a) When... Problem 33PCE: Predict/Calculate The Martian moon Deimos has an orbital period that is greater than the other... Problem 34PCE: Predict/Calculate (a) Calculate the orbital period of a satellite that orbits at two Earth radii... Problem 35PCE: Binary Stars Alpha Centauri A and Alpha Centauri B are binary stars with a separation of 3.45 1012... Problem 36PCE Problem 37PCE: How much gravitational potential energy is required to lift a 9380-kg Progress spacecraft to the... Problem 38PCE: Predict/Explain (a) Is the amount of energy required to get a spacecraft from the Earth to the Moon... Problem 39PCE Problem 40PCE: Calculate the gravitational potential energy of a 9.50-kg mass (a) on the surface of the Earth and... Problem 41PCE Problem 42PCE: Two 0.59-kg basketballs, each with a radius of 12 cm, are just touching. How much energy is required... Problem 43PCE: Find the minimum kinetic energy needed for a 32,000-kg rocket to escape (a) the Moon or (b) the... Problem 44PCE: Predict/Explain Suppose the Earth were to suddenly shrink to half its current diameter, with its... Problem 45PCE Problem 46PCE Problem 47PCE: Meteorites from Mars Several meteorites found in Antarctica are believed to have come from Mars,... Problem 48PCE: What is the launch speed of a projectile that rises vertically above the Earth to an altitude equal... Problem 49PCE: A projectile launched vertically from the surface of the Moon rises to an altitude of 425 km. What... Problem 50PCE Problem 51PCE: Predict/Calculate Halleys Comet Halleys comet, which passes around the Sun every 76 years, has an... Problem 52PCE: The End of the Lunar Module On Apollo Moon missions, the lunar module would blast off from the Moons... Problem 53PCE Problem 54PCE Problem 55PCE: A projectile is launched vertically from the surface of the Moon with an initial speed of 1010 m/s.... Problem 56PCE Problem 57PCE: Predict/Calculate Two baseballs, each with a mass of 0.148 kg, are separated by a distance of 395 m... Problem 58PCE: On Earth, a person can jump vertically and rise to a height h. What is the radius of the largest... Problem 59PCE: The magnitude of the tidal force exerted on a linear object of mass m and length L is approximately... Problem 60PCE: The magnitude of the tidal force between the International Space Station (ISS) and a nearby... Problem 61PCE: A dumbbell has a mass m on either end of a rod of length 2a. The center of the dumbbell is a... Problem 62PCE Problem 63GP: CE You weigh yourself on a scale inside an airplane flying due east above the equator. If the... Problem 64GP: Figure 12-37 Problems 64 and 65 64. CE Rank objects A, B, and C in Figure 12-37 in order of... Problem 65GP: CE Referring to Figure 12-37, rank objects A, B, and C in order of increasing initial acceleration... Problem 66GP: CE The Crash of Skylab Skylab, the largest spacecraft ever to fall back to the Earth, met its fiery... Problem 67GP: Consider a system consisting of three masses on the x axis. Mass m1 = 1.00 kg is at x = 1.00 m ;... Problem 68GP: An astronaut exploring a distant solar system lands on an unnamed planet with a radius of 3520 km.... Problem 69GP: Predict/Calculate When the Moon is in its third-quarter phase, the Earth, Moon, and Sun form a right... Problem 70GP Problem 71GP: Suppose that each of the three masses in Figure 12-38 is replaced by a mass of 5.95 kg and radius... Problem 72GP: A Near Miss! In the early morning hours of June 14, 2002, the Earth had a remarkably close encounter... Problem 73GP: Predict/Calculate Suppose a planet is discovered that has the same total mass as the Earth, but half... Problem 74GP Problem 75GP: Walking into Orbit A spherical asteroid of average density would have a mass of 8.7 1013 kg if its... Problem 76GP Problem 77GP: Find the orbital period of the binary star system described in the previous problem. Figure 12-39... Problem 78GP: Exploring Mars In the not-too-distant future astronauts will travel to Mars to carry out scientific... Problem 79GP: Comet Wild 2 In 2004, a NASA spacecraft named Stardust flew within 147 miles of Comet Wild 2... Problem 80GP: Predict/Calculate (a) If you want to launch a probe that orbits the Sun with a period of 2.00 years,... Problem 81GP: Predict/Calculate A satellite is placed in Earth orbit at an altitude of 23,300 mi, which is 1100... Problem 82GP: Show that the force of gravity between the Moon and the Sun is always greater than the force of... Problem 83GP: The astronomical unit AU is defined as the mean distance from the Sun to the Earth (1 AU = 1.50 ... Problem 84GP Problem 85GP: Predict/Calculate Space Station Orbit The International Space Station (m = 4.5 105 kg) orbits at an... Problem 86GP: Approaching the ISS A Russian Soyuz module, with three astronauts and a full load of cargo, has a... Problem 87GP Problem 88GP Problem 89GP: Three identical stars, at the vertices of an equilateral triangle, orbit about their common center... Problem 90GP Problem 91PP: If life exists elsewhere in our solar system, it may not have developed independently from life on... Problem 92PP: If life exists elsewhere in our solar system, it may not have developed independently from life on... Problem 93PP: If life exists elsewhere in our solar system, it may not have developed independently from life on... Problem 94PP: If life exists elsewhere in our solar system, it may not have developed independently from life on... Problem 95PP: If life exists elsewhere in our solar system, it may not have developed independently from life on... Problem 96PP: Predict/Calculate Referring to Example 12-8 Suppose the mass of the Sun is suddenly doubled, but the... Problem 97PP: Predict/Calculate Referring to Example 12-17 (a) If the mass of the Earth were doubled, would the... Problem 98PP: Predict/Calculate Referring to Example 12-17 Suppose the Earth is suddenly shrunk to half its... format_list_bulleted