College Physics
11th Edition
ISBN: 9781305952300
Author: Raymond A. Serway, Chris Vuille
Publisher: Cengage Learning
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Chapter 4, Problem 87AP
A car accelerates down a hill (Fig. P4.87), going from rest to 30.0 m/s in 6.00 s. During the acceleration, a toy (m = 0.100 kg) hangs by a string from the car’s ceiling. The acceleration is such that the string remains perpendicular to the ceiling. Determine (a) the angle θ and (b) the tension in the string.
Figure P4.87
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Portfolio Problem 3. A ball is thrown vertically upwards with a speed vo
from the floor of a room of height h. It hits the ceiling and then returns to the
floor, from which it rebounds, managing just to hit the ceiling a second time.
Assume that the coefficient of restitution between the ball and the floor, e, is
equal to that between the ball and the ceiling. Compute e.
Portfolio Problem 4. Consider two identical springs, each with natural length
and spring constant k, attached to a horizontal frame at distance 2l apart. Their
free ends are attached to the same particle of mass m, which is hanging under
gravity. Let z denote the vertical displacement of the particle from the hori-
zontal frame, so that z < 0 when the particle is below the frame, as shown in
the figure. The particle has zero horizontal velocity, so that the motion is one
dimensional along z.
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(a) Show that the total force acting on the particle is
X
F-mg k-2kz 1
(1.
l
k.
(b) Find the potential energy U(x, y, z) of the system such that U
x = : 0.
= O when
(c) The particle is pulled down until the springs are each of length 3l, and then
released. Find the velocity of the particle when it crosses z = 0.
In the figure below, a semicircular conductor of radius R = 0.260 m is rotated about the axis AC at a constant rate of 130 rev/min. A uniform magnetic field of magnitude 1.22 T fills the entire region below the axis and is directed out of the page.
R
Pout
(a) Calculate the maximum value of the emf induced between the ends of the conductor.
1.77
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(b) What is the value of the average induced emf for each complete rotation?
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v
(c) How would your answers to parts (a) and (b) change if the magnetic field were allowed to extend a distance R above the axis of rotation? (Select all that apply.)
The value in part (a) would increase.
The value in part (a) would remain the same.
The value in part (a) would decrease.
The value in part (b) would increase.
The value in part (b) would remain the same.
The value in part (b) would decrease.
×
(d) Sketch the emf versus time when the field is as drawn in the figure. Choose File No file chosen
This answer has not been graded yet.
(e) Sketch the emf…
Chapter 4 Solutions
College Physics
Ch. 4.2 - Which of the following statements are true? (a) An...Ch. 4.2 - Which has greater value, a newton of gold on Earth...Ch. 4.2 - Respond to each statement, true or false: (a) No...Ch. 4.2 - A small sports car collides head-on with a massive...Ch. 4.4 - If you press a book flat against a vertical wall...Ch. 4.4 - A crate is sitting in the center of a flatbed...Ch. 4.4 - Suppose your friend is sitting on a sled and asks...Ch. 4.6 - Consider the two situations shown in Figure 4.30,...Ch. 4.6 - For the woman being pulled forward on the toboggan...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 - A woman is standing on the Earth. In terms of...Ch. 4 - An exoplanet has twice the mass and half the...Ch. 4 - Choose the best answer. A car traveling at...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 - Four forces act on an object, given by A = 40.0 N...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 force of 30.0 N is applied in the positive...Ch. 4 - What would be the acceleration of gravity at the...Ch. 4 - Calculate the magnitude of the normal force on a...Ch. 4 - A horizontal force of 95.0 N is applied to a...Ch. 4 - A car of mass 875 kg is traveling 30.0 m/s when...Ch. 4 - A student of mass 60.0 kg, starting at rest,...Ch. 4 - A 1.00 103-N crate is being pushed across a level...Ch. 4 - A block of mass m = 5.8 kg is pulled up a = 25...Ch. 4 - A rocket takes off from Earths surface,...Ch. 4 - A man exerts a horizontal force of 125 N on a...Ch. 4 - A horse is harnessed to a sled having a mass of...Ch. 4 - A block of mass 55.0 kg rests on a slope having an...Ch. 4 - A dockworker loading crates on a ship finds that a...Ch. 4 - Suppose the coefficient of static friction between...Ch. 4 - The coefficient of static friction between the...Ch. 4 - Two identical strings making an angle of = 30.0...Ch. 4 - A 75-kg man standing on a scale in an elevator...Ch. 4 - A crate of mass m = 32 kg rides on the bed of a...Ch. 4 - (a) Find the tension in each cable supporting the...Ch. 4 - The distance between two telephone poles is 50.0...Ch. 4 - (a) An elevator of mass m moving upward has two...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 - A 276-kg glider is being pulled by a 1 950-kg jet...Ch. 4 - A crate of mass 45.0 kg is being transported on...Ch. 4 - Consider a large truck carrying a heavy load, such...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 3.00-kg block starts from rest at the top of a...Ch. 4 - To meet a U.S. Postal Service requirement,...Ch. 4 - A block of mass 12.0 kg is sliding at an initial...Ch. 4 - The person in Figure P4.49 weighs 170. lb. Each...Ch. 4 - A car is traveling at 50.0 km/h on a flat highway....Ch. 4 - A 5.0-kg bucket of water is raised from a well by...Ch. 4 - A hockey puck struck by a hockey stick is given an...Ch. 4 - A setup similar to the one shown in Figure P4.53...Ch. 4 - An Atwoods machine (Fig. 4.38) consists of two...Ch. 4 - A block of mass m1 = 16.0 kg is on a frictionless...Ch. 4 - Two blocks each of mass m are fastened to the top...Ch. 4 - Two blocks of masses m and 2m are held in...Ch. 4 - The systems shown in Figure P4.58 are in...Ch. 4 - Assume the three blocks portrayed in Figure P4.59...Ch. 4 - Two packing crates of masses 10.0 kg and 5.00 kg...Ch. 4 - A 1.00 103 car is pulling a 300.-kg trailer....Ch. 4 - Two blocks of masses m1 and m2 (m1 m2) are placed...Ch. 4 - In Figure P4.63, the light, taut, unstretchable...Ch. 4 - An object with mass m1 = 5.00 kg rests on a...Ch. 4 - Objects with masses m1 = 10.0 kg and m2 = 5.00 kg...Ch. 4 - Two objects with masses of 3.00 kg and 5.00 kg are...Ch. 4 - In Figure P4.64, m1 = 10. kg and m2 = 4.0 kg. The...Ch. 4 - A block of mass 3m is placed on a frictionless...Ch. 4 - A 15.0-lb block rests on a horizontal floor, (a)...Ch. 4 - Objects of masses m1 = 4.00 kg and m2 = 9.00 kg...Ch. 4 - Two blocks each of mass m = 3.50 kg are fastened...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 - (a) What is the minimum force of friction required...Ch. 4 - (a) What is the resultant force exerted by the two...Ch. 4 - A woman at an airport is towing her 20.0-kg...Ch. 4 - A boy coasts down a hill on a sled, reaching a...Ch. 4 - Three objects are connected by light strings as...Ch. 4 - A box rests on the back of a truck. The...Ch. 4 - A high diver of mass 70.0 kg steps off a board...Ch. 4 - A frictionless plane is 10.0 m long and inclined...Ch. 4 - Measuring coefficients of friction A coin is...Ch. 4 - A 2.00-kg aluminum block and a 6.00-kg copper...Ch. 4 - On an airplanes takeoff, the combined action of...Ch. 4 - Two boxes of fruit on a frictionless horizontal...Ch. 4 - A sled weighing 60.0 N is pulled horizontally...Ch. 4 - A car accelerates down a hill (Fig. P4.87), going...Ch. 4 - An inventive child wants to reach an apple in a...Ch. 4 - The parachute on a race car of weight 8 820 N...Ch. 4 - A fire helicopter carries a 620-kg bucket of water...Ch. 4 - The board sandwiched between two other boards in...Ch. 4 - A 72-kg man stands on a spring scale in an...
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