College Physics
10th Edition
ISBN: 9781285737027
Author: Raymond A. Serway, Chris Vuille
Publisher: Cengage Learning
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Chapter 7, Problem 47AP
(a) One of the moons of Jupiter, named Io, has an orbital radius of 4.22 × 108 m and a period of 1.77 days. Assuming the orbit is circular, calculate the mass of Jupiter, (b) The largest moon of Jupiter, named Ganymede, has an orbital radius of 1.07 × 109 m and a period of 7.16 days. Calculate the mass of Jupiter from this data, (c) Are your results to parts (a) and (b) consistent? Explain.
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Part C
Find the height yi
from which the rock was launched.
Express your answer in meters to three significant figures.
Learning Goal:
To practice Problem-Solving Strategy 4.1 for projectile motion problems.
A rock thrown with speed 12.0 m/s and launch angle 30.0 ∘ (above the horizontal) travels a horizontal distance of d = 19.0 m before hitting the ground. From what height was the rock thrown? Use the value g = 9.800 m/s2 for the free-fall acceleration.
PROBLEM-SOLVING STRATEGY 4.1 Projectile motion problems
MODEL: Is it reasonable to ignore air resistance? If so, use the projectile motion model.
VISUALIZE: Establish a coordinate system with the x-axis horizontal and the y-axis vertical. Define symbols and identify what the problem is trying to find. For a launch at angle θ, the initial velocity components are vix=v0cosθ and viy=v0sinθ.
SOLVE: The acceleration is known: ax=0 and ay=−g. Thus, the problem becomes one of…
Phys 25
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. 7.4 - A racetrack is constructed such that two arcs of...Ch. 7.4 - 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. 7.6 - Suppose an asteroid has a semimajor axis of 4 AU....
Ch. 7 - Math Review A circular track has a radius of 125...Ch. 7 - Math Review (a) Convert 47.0 to radians, using the...Ch. 7 - (a) Convert 12.0 rev/min to radians per second....Ch. 7 - A carnival carousel accelerates nonuniformly from...Ch. 7 - Prob. 5WUECh. 7 - A grindstone increases in angular speed uniformly...Ch. 7 - A bicyclist starting at rest produces a constant...Ch. 7 - A car of mass 1 230 kg travels along a circular...Ch. 7 - A man whirls a 0.20-kg piece of lead attached to...Ch. 7 - (a) Find the magnitude of the gravity force...Ch. 7 - What is the gravitational acceleration close to...Ch. 7 - Prob. 12WUECh. 7 - Prob. 13WUECh. 7 - Prob. 14WUECh. 7 - A comet has a period of 76.3 years and moves in an...Ch. 7 - In a race like the Indianapolis 500, a driver...Ch. 7 - If someone told you that astronauts are weightless...Ch. 7 - If a cars wheels are replaced with wheels of...Ch. 7 - At night, you are farther away from the Sun than...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 - Use Keplers second law to convince yourself that...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 - Angular Speed and Angular Acceleration (a) Find...Ch. 7 - A wheel has a radius of 4.1 m. How far (path...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 machine part rotates at an angular speed of 0.06...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 - A coin rests 15.0 cm from the center of a...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 - Prob. 28PCh. 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 - The average distance separating Earth and the Moon...Ch. 7 - A satellite has a mass of 100 kg and is Located at...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 - Two satellites are in circular orbits around the...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 - A car rounds a banked curve where the radius of...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 - Prob. 56APCh. 7 - Because of Earths rotation about its axis, a point...Ch. 7 - Prob. 58APCh. 7 - In Robert Heinleins The Moon Is a Harsh Mistress,...Ch. 7 - A roller coaster travels in a circular path, (a)...Ch. 7 - In a home laundry dryer, a cylindrical tub...Ch. 7 - A model airplane of mass 0.750 kg flies with a...Ch. 7 - A skier starts at rest at the top of a large...Ch. 7 - Casting of molten metal is important in many...Ch. 7 - Suppose a 1 800-kg car passes over a bump in a...Ch. 7 - A stuntman whose mass is 70 kg swings from the end...Ch. 7 - Prob. 67APCh. 7 - The pilot of an airplane executes a constant-speed...Ch. 7 - A piece of mud is initially at point A on the rim...Ch. 7 - A 0.275-kg object is swung in a vertical circular...Ch. 7 - A 4.0-kg object is attached to a vertical rod by...Ch. 7 - The maximum lift force on a bat is proportional to...Ch. 7 - (a) A luggage carousel at an airport has the form...Ch. 7 - A 0.50-kg ball that is tied to the end of a 1.5-m...Ch. 7 - In a popular amusement park ride, a rotating...Ch. 7 - A massless spring of constant k = 78.4 N/m is...
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