COLLEGE PHYSICS
13th Edition
ISBN: 2810014673880
Author: OpenStax
Publisher: OpenStax
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Textbook Question
Chapter 1, Problem 23PE
If a marathon runner averages 9.5 mi/h, how long does it take him or her to run a 26.22-mi marathon?
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A planar double pendulum consists of two point masses \[m_1 = 1.00~\mathrm{kg}, \qquad m_2 = 1.00~\mathrm{kg}\]connected by massless, rigid rods of lengths \[L_1 = 1.00~\mathrm{m}, \qquad L_2 = 1.20~\mathrm{m}.\]The upper rod is hinged to a fixed pivot; gravity acts vertically downward with\[g = 9.81~\mathrm{m\,s^{-2}}.\]Define the generalized coordinates \(\theta_1,\theta_2\) as the angles each rod makes with thedownward vertical (positive anticlockwise, measured in radians unless stated otherwise).At \(t=0\) the system is released from rest with \[\theta_1(0)=120^{\circ}, \qquad\theta_2(0)=-10^{\circ}, \qquad\dot{\theta}_1(0)=\dot{\theta}_2(0)=0 .\]Using the exact nonlinear equations of motion (no small-angle or planar-pendulumapproximations) and assuming the rods never stretch or slip, determine the angle\(\theta_2\) at the instant\[t = 10.0~\mathrm{s}.\]Give the result in degrees, in the interval \((-180^{\circ},180^{\circ}]\).
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Chapter 1 Solutions
COLLEGE PHYSICS
Ch. 1 - Models are particularly useful in relativity and...Ch. 1 - How does a model differ from a theory?Ch. 1 - If two different theories describe experimental...Ch. 1 - What determines the validity of a theory?Ch. 1 - Certain criteria must be satisfied if a...Ch. 1 - Can the validity of a model be limited, or must it...Ch. 1 - Classical physics is a good approximation to...Ch. 1 - When is it necessary to use relativistic quantum...Ch. 1 - Can classical physics be used to accurately...Ch. 1 - Identify some advantages of metric units.
Ch. 1 - What is the relationship between the accuracy and...Ch. 1 - Prescriptions for vision correction are given in...Ch. 1 - The speed limit on some interstate highways is...Ch. 1 - A car is traveling at a speed of 33 m/s. (a) What...Ch. 1 - Show that 1.0m/s=3.6Km/h. Hint: Show the explicit...Ch. 1 - American football is played on a 100-yd-long...Ch. 1 - Soccer fields vary in size. A large soccer field...Ch. 1 - What is the height in meters of a person who is 6...Ch. 1 - Mount Everest, at 29,028 feet, is the tallest...Ch. 1 - The speed of sound is measured to be 342 m/s on a...Ch. 1 - Tectonic plates are large segments of the Earth's...Ch. 1 - (a) Refer to Table 1.3 to determine the average...Ch. 1 - Suppose that your bathroom scale reads your mass...Ch. 1 - A good-quality measuring tape can be off by 0.50...Ch. 1 - (a) A car speedometer has a 5.0% uncertainty. What...Ch. 1 - An infant's pulse rate is measured to be 1305...Ch. 1 - (a) Suppose that a person has an average heart...Ch. 1 - A can contains 375 mL of soda. How much is left...Ch. 1 - State how many significant figures are proper in...Ch. 1 - (a) How many significant figures are in the...Ch. 1 - (a) If your speedometer has an uncertainty of 2.0...Ch. 1 - (a) A person's blood pressure is measured to be...Ch. 1 - A person measures his or her heart rate by...Ch. 1 - What is the area of a circle 3.102 cm in diameter?Ch. 1 - If a marathon runner averages 9.5 mi/h, how long...Ch. 1 - A marathon runner completes a 42.188-km course in...Ch. 1 - The sides of a small rectangular box are measured...Ch. 1 - When non-metric units were used in the United...Ch. 1 - The length and width of a rectangular room are...Ch. 1 - A car engine moves a piston with a circular cross...Ch. 1 - How many heartbeats are there in a lifetime?Ch. 1 - A generation is about one-third of a lifetime....Ch. 1 - How many times longer than the mean life of an...Ch. 1 - Calculate the approximate number of atoms in a...Ch. 1 - Approximately how many atoms thick is a cell...Ch. 1 - (a) What fraction of Earth's diameter is the...Ch. 1 - (a) Calculate the number of cells in a hummingbird...Ch. 1 - Assuming one nerve impulse must end before another...
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