College Physics
11th Edition
ISBN: 9781305952300
Author: Raymond A. Serway, Chris Vuille
Publisher: Cengage Learning
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Textbook Question
Chapter 7, Problem 58AP
A roller coaster travels in a circular path, (a) Identify the forces on a passenger at the top of the circular loop that cause centripetal acceleration. Show the direction of all forces in a sketch, (b) Identify the forces on the passenger at the bottom of the loop that produce centripetal acceleration. Show these in a sketch, (c) Based on your answers to parts (a) and (b), at what point, top or bottom, should the seat exert the greatest force on the passenger? (d) Assume the speed of the roller coaster is 4.00 m/s at the top of the loop of radius 8.00 m. Find the force exerted by the seat on a 70.0-kg passenger at the top of the loop. Then, assume the speed remains the same at the bottom of the loop and find the force exerted by the seat on the passenger at this point. Are your answers consistent with your choice of answers for parts (a) and (b)?
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A roller coaster travels in a circular path. (a) Identify the forces on a passenger at the top of the circular loop that cause centripetal acceleration. Show the direction of all forces in a sketch. (b) Identify the forces on the passenger at the bottom of the loop that produce centripetal acceleration. Show these in a sketch. (c) Based on your answers to parts (a) and (b), at what point, top or bottom, should the seat exert the greatest force on the passenger? (d) Assume the speed of the roller coaster is 4.00 m/s at the top of the loop of radius 8.00 m. Find the force exerted by the seat on a 70.0-kg passenger at the top of the loop. Then, assume the speed remains the same at the bottom of the loop and find the force exerted by the seat on the passenger at this point. Are your answers consistent with your choice of answers for parts (a) and (b)?
A motorcycle with mass 5 kg moves at a constant speed of 16 m/s in a vertical circle inside a
hollow metal cylinder that has a radius of r = 4 m as shown in Figure.
(a) Find the normal force exerted on the motorcycle at point A at the bottom of the circle.
(b) Find the normal force exerted on the motorcycle at point B at the top of the circle.
(c) Find the centripetal acceleration.
B
r=4 m
A
Disturbed by speeding cars outside his workplace, Nobel laureate Arthur Holly Compton designed a speed bump (called the "Holly hump") and had it installed. Suppose a 1 800-kg car passes over a
hump in a roadway that follows the arc of a circle of radius 19.6 m as in the figure below.
(a) If the car travels at 29.5 km/h what force does the road exert on the car as the car passes the highest point of the hump?
magnitude
N
direction
down
(b) What is the maximum speed the car can have without losing contact with the road as it passes this highest point?
km/h
Chapter 7 Solutions
College Physics
Ch. 7.1 - A rigid body is rotating counterclockwise about a...Ch. 7.1 - Suppose the change in angular position for each of...Ch. 7.2 - Consider again the pairs of angular positions for...Ch. 7.3 - Andrea and Chuck are riding on a merry-go-round....Ch. 7.3 - When the merry-go-round of Quick Quiz 7.4 is...Ch. 7.3 - A racetrack is constructed such that two arcs of...Ch. 7.3 - An object moves in a circular path with constant...Ch. 7.5 - A ball is falling toward the ground. Which of the...Ch. 7.5 - A planet has two moons with identical mass. Moon 1...Ch. 7.5 - Suppose an asteroid has a semimajor axis of 4 AU....
Ch. 7 - A disk rotates about an axis through its center....Ch. 7 - Suppose an alien civilization has a space station...Ch. 7 - If a cars wheels are replaced with wheels of...Ch. 7 - Objects moving along a circular path have a...Ch. 7 - A pendulum consists of a small object called a bob...Ch. 7 - Because of Earths rotation about its axis, you...Ch. 7 - It has been suggested that rotating cylinders...Ch. 7 - Describe the path of a moving object in the event...Ch. 7 - A pail of water can be whirled in a vertical...Ch. 7 - A car of mass m follows a truck of mass 2m around...Ch. 7 - Is it possible for a car to move in a circular...Ch. 7 - A child is practicing for a BMX race. His speed...Ch. 7 - An object executes circular motion with constant...Ch. 7 - Convert (a) 47.0 to radians, (b) 12.0 rad to...Ch. 7 - A bicycle tire is spinning clockwise at 2.50...Ch. 7 - The tires on a new compact car have a diameter of...Ch. 7 - A potters wheel moves uniformly from rest to an...Ch. 7 - A dentists drill starts from rest. After 3.20 s of...Ch. 7 - A centrifuge in a medical laboratory rotates at an...Ch. 7 - A bicyclist starting at rest produces a constant...Ch. 7 - A bicycle is turned upside down while its owner...Ch. 7 - The diameters of the main rotor and tail rotor of...Ch. 7 - The tub of a washer goes into its spin-dry cycle,...Ch. 7 - A car initially traveling at 29.0 m/s undergoes a...Ch. 7 - A 45.0-cm diameter disk rotates with a constant...Ch. 7 - A rotating wheel requires 3.00 s to rotate 37.0...Ch. 7 - An electric motor rotating a workshop grinding...Ch. 7 - A car initially traveling eastward turns north by...Ch. 7 - It has been suggested that rotating cylinders...Ch. 7 - (a) What is the tangential acceleration of a bug...Ch. 7 - An adventurous archeologist (m = 85.0 kg) tries to...Ch. 7 - One end of a cord is fixed and a small 0.500-kg...Ch. 7 - Human centrifuges are used to train military...Ch. 7 - A 55.0-kg ice skater is moving at 4.00 m/s when...Ch. 7 - A 40.0-kg child swings in a swing supported by two...Ch. 7 - A certain light truck can go around a flat curve...Ch. 7 - A sample of blood is placed in a centrifuge of...Ch. 7 - A 50.0-kg child stands at the rim of a...Ch. 7 - A space habitat for a long space voyage consists...Ch. 7 - An air puck of mass m1 = 0.25 kg is tied to a...Ch. 7 - A snowboarder drops from rest into a halfpipe of...Ch. 7 - A woman places her briefcase on the backseat of...Ch. 7 - A pail of water is rotated in a vertical circle of...Ch. 7 - A 40.0-kg child takes a ride on a Ferris wheel...Ch. 7 - Prob. 32PCh. 7 - (a) Find the magnitude of the gravitational force...Ch. 7 - The International Space Station has a mass of 4.19...Ch. 7 - A coordinate system (in meters) is constructed on...Ch. 7 - Prob. 36PCh. 7 - Objects with masses of 200. kg and 500. kg are...Ch. 7 - Use the data of Table 7.3 to find the point...Ch. 7 - Prob. 39PCh. 7 - Two objects attract each other with a...Ch. 7 - Prob. 41PCh. 7 - Prob. 42PCh. 7 - A satellite of Mars, called Phoebus, has an...Ch. 7 - Prob. 44PCh. 7 - A comet has a period of 76.3 years and moves in an...Ch. 7 - Additional Problems A synchronous satellite. which...Ch. 7 - (a) One of the moons of Jupiter, named Io, has an...Ch. 7 - Neutron stars are extremely dense objects that are...Ch. 7 - One method of pitching a softball is called the...Ch. 7 - A digital audio compact disc (CD) carries data...Ch. 7 - An athlete swings a 5.00-kg ball horizontally on...Ch. 7 - The dung beetle is known as one of the strongest...Ch. 7 - Prob. 53APCh. 7 - A 0.400-kg pendulum bob passes through the lowest...Ch. 7 - A car moves at speed v across a bridge made in the...Ch. 7 - Keratinocytes are the most common cells in the...Ch. 7 - Because of Earths rotation about its axis, a point...Ch. 7 - A roller coaster travels in a circular path, (a)...Ch. 7 - In Robert Heinleins The Moon Is a Harsh Mistress,...Ch. 7 - A model airplane of mass 0.750 kg flies with a...Ch. 7 - In a home laundry dryer, a cylindrical tub...Ch. 7 - Casting of molten metal is important in many...Ch. 7 - A skier starts at rest at the top of a large...Ch. 7 - A stuntman whose mass is 70 kg swings from the end...Ch. 7 - Suppose a 1 800-kg car passes over a bump in a...Ch. 7 - The pilot of an airplane executes a constant-speed...Ch. 7 - Prob. 67APCh. 7 - A coin rests 15.0 cm from the center of a...Ch. 7 - A 4.0-kg object is attached to a vertical rod by...Ch. 7 - A 0.275-kg object is swung in a vertical circular...Ch. 7 - (a) A luggage carousel at an airport has the form...Ch. 7 - The maximum lift force on a bat is proportional to...Ch. 7 - In a popular amusement park ride, a rotating...Ch. 7 - A massless spring of constant k = 78.4 N/m is...Ch. 7 - A 0.50-kg ball that is tied to the end of a 1.5-m...
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