College Physics
10th Edition
ISBN: 9781285737027
Author: Raymond A. Serway, Chris Vuille
Publisher: Cengage Learning
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Chapter 4.3, Problem 4.3QQ
Respond to each statement, true or false: (a) No force of gravity acts on an astronaut in an orbiting space station. (b) At three Earth radii from the center of Earth, the acceleration of gravity is one-ninth its surface value. (c) If two identical planets, each with surface gravity g and volume V, coalesce into one planet with volume 2V, the surface gravity of the new planet is 2g. (d) One kilogram of gold would have greater value on Earth than on the Moon.
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The mean diameters of Mars and Earth are 6.9×10^3km and1.3×10^4km, respectively. The mass of Mars is 0.11 timesEarth's mass [Mass of Earth = 5.98×10^24kg]. What is: a)The ratio of the mean density (mass per unit volume) of Mars to that of Earth? b)The value of the gravitational acceleration on Mars? c)The escape speed on Mars?
The mean diameters of Mars and Earth are 6.9 * 103 km and 1.3 * 104 km, respectively. The mass of Mars is 0.11 times Earth’s mass. (a) What is the ratio of the mean density (mass per unit volume) of Mars to that of Earth? (b)What is the value of the gravitational acceleration on Mars? (c) What is the escape speed on Mars?
(a) Calculate the magnitude of the gravitational force exerted by Mars on a 65 kg human standing on the surface of Mars. (The mass of Mars is 6.4x1023 kg and its
radius is 3.4x106 m.)
240.0277
✓ N
(b) Calculate the magnitude of the gravitational force exerted by the human on Mars.
240.0277
N
(c) For comparison, calculate the approximate magnitude of the gravitational force of this human on a similar human who is standing 2.5 meters away.
1.76e8
XN
(d) What approximations or simplifying assumptions must you make in these calculations? (Note: Some of these choices are false because they are wrong physics!)
✔Treat Mars as though it were spherically symmetric.
Ignore the effects of the Sun, which alters the gravitational force that one object exerts on another.
✔Treat the humans as though they were points or uniform-density spheres.
O Use the same gravitational constant in (a) and (b) despite its dependence on the size of the masses.
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Chapter 4 Solutions
College Physics
Ch. 4.3 - Which of the following statements are true? (a) An...Ch. 4.3 - Which has greater value, a newton of gold on Earth...Ch. 4.3 - Respond to each statement, true or false: (a) No...Ch. 4.4 - A small sports car collides head-on with a massive...Ch. 4.5 - Consider the two situations shown in Figure 4.30,...Ch. 4.5 - For the woman being pulled forward on the toboggan...Ch. 4.6 - If you press a book flat against a vertical wall...Ch. 4.6 - A crate is sitting in the center of a flatbed...Ch. 4.6 - Suppose your friend is sitting on a sled and asks...Ch. 4 - Physics Review A hockey player strikes a puck,...
Ch. 4 - Four forces act on an object, given by A = 40.0 N...Ch. 4 - A force of 30.0 N is applied in the positive...Ch. 4 - What would be the acceleration of gravity at the...Ch. 4 - Two monkeys are holding onto a single vine of...Ch. 4 - Two identical strings making an angle of = 30.0...Ch. 4 - Calculate the normal force on a 15.0 kg block in...Ch. 4 - A horizontal force of 95.0 N is applied to a...Ch. 4 - Prob. 9WUECh. 4 - A block of mass 12.0 kg is sliding at an initial...Ch. 4 - A man exerts a horizontal force of 112 N on a...Ch. 4 - An Atwoods machine (Fig. 4.38) consists of two...Ch. 4 - A block of mass m1= 10 kg is on a frictionless...Ch. 4 - A passenger sitting in the rear of a bus claims...Ch. 4 - A space explorer is moving through space far from...Ch. 4 - (a) If gold were sold by weight, would you rather...Ch. 4 - If you push on a heavy box that is at rest, you...Ch. 4 - A ball is held in a persons hand. (a) Identify all...Ch. 4 - A weight lifter stands on a bathroom scale. (a) As...Ch. 4 - (a) What force causes an automobile to move? (b) A...Ch. 4 - If only one force acts on an object, can it be in...Ch. 4 - In the: motion picture It Happened One Night...Ch. 4 - Analyze the motion of a rock dropped in water in...Ch. 4 - Identify the action-reaction pairs in the...Ch. 4 - Draw a free-body diagram for each of the following...Ch. 4 - In a tug-of-war between two athletes, each pulls...Ch. 4 - Suppose you are driving a car at a high speed. Why...Ch. 4 - As a block slides down a frictionless incline,...Ch. 4 - A crate remains stationary after it has been...Ch. 4 - In Figure 4.4, a locomotive has broken through the...Ch. 4 - If an object is in equilibrium, which of the...Ch. 4 - A truck loaded with sand accelerates along a...Ch. 4 - A large crate of mass m is placed on the back of a...Ch. 4 - Which of the following statements are true? (a) An...Ch. 4 - The heaviest invertebrate is the giant squid,...Ch. 4 - A football punter accelerates a football from rest...Ch. 4 - A 6.0-kg object undergoes an acceleration of 2.0...Ch. 4 - One or more external forces are exerted on each...Ch. 4 - A bag of sugar weighs 5.00 lb on Earth. What would...Ch. 4 - A freight train has a mass of 1.5 107 kg. If the...Ch. 4 - A 75-kg man standing on a scale in an elevator...Ch. 4 - Consider a solid metal sphere (S) a few...Ch. 4 - As a fish jumps vertically out of the water,...Ch. 4 - A 5.0-g bullet leaves the muzzle of a rifle with a...Ch. 4 - A boat moves through the water with two forces...Ch. 4 - Two forces are applied to a car in an effort to...Ch. 4 - A 970.-kg car starts from rest on a horizontal...Ch. 4 - An object of mass m is dropped from the roof of a...Ch. 4 - After falling from rest from a height of 30.0 m, a...Ch. 4 - The force exerted by the wind on the sails of a...Ch. 4 - (a) Find the tension in each cable supporting the...Ch. 4 - A certain orthodontist uses a wire brace to align...Ch. 4 - A 150-N bird feeder is supported by three cables...Ch. 4 - The leg and cast in Figure P4.40 weigh 220 N (w1)....Ch. 4 - Two blocks each of mass m are fastened to the top...Ch. 4 - Two blocks each of mass m = 3.50 kg are fastened...Ch. 4 - The distance between two telephone poles is 50.0...Ch. 4 - The systems shown in Figure P4.58 are in...Ch. 4 - A 5.0-kg bucket of water is raised from a well by...Ch. 4 - A crate of mass m = 32 kg rides on the bed of a...Ch. 4 - Two blocks of masses m and 2m are held in...Ch. 4 - Two packing crates of masses 10.0 kg and 5.00 kg...Ch. 4 - Assume the three blocks portrayed in Figure P4.59...Ch. 4 - A block of mass m = 5.8 kg is pulled up a = 25...Ch. 4 - A setup similar to the one shown in Figure P4.53...Ch. 4 - Two blocks of masses m1 and m2 (m1 m2) are placed...Ch. 4 - A 276-kg glider is being pulled by a 1 950-kg jet...Ch. 4 - In Figure P4.63, the light, taut, unstretchable...Ch. 4 - (a) An elevator of mass m moving upward has two...Ch. 4 - An object with mass m1 = 5.00 kg rests on a...Ch. 4 - A 1.00 103 car is pulling a 300.-kg trailer....Ch. 4 - Two objects with masses of 3.00 kg and 5.00 kg are...Ch. 4 - A dockworker loading crates on a ship finds that a...Ch. 4 - In Figure P4.64, m1 = 10. kg and m2 = 4.0 kg. The...Ch. 4 - A 1.00 103-N crate is being pushed across a level...Ch. 4 - A block of mass 3m is placed on a frictionless...Ch. 4 - Consider a large truck carrying a heavy load, such...Ch. 4 - A crate of mass 45.0 kg is being transported on...Ch. 4 - Objects with masses m1 = 10.0 kg and m2 = 5.00 kg...Ch. 4 - A hockey puck struck by a hockey stick is given an...Ch. 4 - The coefficient of static friction between the...Ch. 4 - A student decides to move a box of books into her...Ch. 4 - An object falling under the pull of gravity is...Ch. 4 - A car is traveling at 50.0 km/h on a flat highway....Ch. 4 - A 3.00-kg block starts from rest at the top of a...Ch. 4 - A 15.0-lb block rests on a horizontal floor, (a)...Ch. 4 - To meet a U.S. Postal Service requirement,...Ch. 4 - Objects of masses m1 = 4.00 kg and m2 = 9.00 kg...Ch. 4 - The person in Figure P4.49 weighs 170. lb. Each...Ch. 4 - As a protest against the umpires calls, a baseball...Ch. 4 - Three objects are connected on a table as shown in...Ch. 4 - The force exerted by the wind on a sailboat is...Ch. 4 - (a) What is the resultant force exerted by the two...Ch. 4 - (a) What is the minimum force of friction required...Ch. 4 - A boy coasts down a hill on a sled, reaching a...Ch. 4 - A woman at an airport is towing her 20.0-kg...Ch. 4 - A box rests on the back of a truck. The...Ch. 4 - Three objects are connected by light strings as...Ch. 4 - A frictionless plane is 10.0 m long and inclined...Ch. 4 - A high diver of mass 70.0 kg steps off a board...Ch. 4 - A 2.00-kg aluminum block and a 6.00-kg copper...Ch. 4 - An object of mass m1 hangs from a string that...Ch. 4 - Two boxes of fruit on a frictionless horizontal...Ch. 4 - Measuring coefficients of friction A coin is...Ch. 4 - A fisherman poles a boat as he searches for his...Ch. 4 - A rope with mass m, is attached to a block with...Ch. 4 - A car accelerates down a hill (Fig. P4.87), going...Ch. 4 - Prob. 74APCh. 4 - The parachute on a race car of weight 8 820 N...Ch. 4 - On an airplanes takeoff, the combined action of...Ch. 4 - The board sandwiched between two other boards in...Ch. 4 - A sled weighing 60.0 N is pulled horizontally...Ch. 4 - A 72-kg man stands on a spring scale in an...Ch. 4 - A magician pulls a tablecloth from under a 200-g...Ch. 4 - An inventive child wants to reach an apple in a...Ch. 4 - A fire helicopter carries a 620-kg bucket of water...Ch. 4 - A crate of weight Fg is pushed by a force P on a...Ch. 4 - In Figure P1.84, the pulleys and the cord are...Ch. 4 - What horizontal force must ho applied to a large...
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