College Physics: A Strategic Approach (3rd Edition)
3rd Edition
ISBN: 9780321879721
Author: Randall D. Knight (Professor Emeritus), Brian Jones, Stuart Field
Publisher: PEARSON
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Chapter P.2, Problem 24P
Additional Integrated Problems
A swift blow with the hand can break a pine board. As the hand hits the board, the kinetic energy of the hand is transformed into elastic potential energy of the bending board; if the board bends far enough, it breaks. Applying a force to the center of a particular pine board deflects the center of the board by a distance that increases in proportion to the force. Ultimately the board breaks at an applied force of 800 N and a deflection of 1.2 cm.
a. To break the board with a blow from the hand, how fast must the hand be moving? Use 0.50 kg for the mass of the hand.
b. If the hand is moving this fast and comes to rest in a distance of 1.2 cm, what is the average force on the hand?
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Question B3
Consider the following FLRW spacetime:
t2
ds² = -dt² +
(dx²
+ dy²+ dz²),
t2
where t is a constant.
a)
State whether this universe is spatially open, closed or flat.
[2 marks]
b) Determine the Hubble factor H(t), and represent it in a (roughly drawn) plot as a function
of time t, starting at t = 0.
[3 marks]
c) Taking galaxy A to be located at (x, y, z) = (0,0,0), determine the proper distance to galaxy
B located at (x, y, z) = (L, 0, 0). Determine the recessional velocity of galaxy B with respect
to galaxy A.
d) The Friedmann equations are
2
k
8πG
а
4πG
+
a²
(p+3p).
3
a
3
[5 marks]
Use these equations to determine the energy density p(t) and the pressure p(t) for the
FLRW spacetime specified at the top of the page.
[5 marks]
e) Given the result of question B3.d, state whether the FLRW universe in question is (i)
radiation-dominated, (ii) matter-dominated, (iii) cosmological-constant-dominated, or (iv)
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Chapter P Solutions
College Physics: A Strategic Approach (3rd Edition)
Ch. P.1 - Prob. 1PCh. P.1 - The following questions are related to the passage...Ch. P.1 - The following questions are related to the passage...Ch. P.1 - Prob. 4PCh. P.1 - Animal Athletes Different animals have very...Ch. P.1 - Animal Athletes Different animals have very...Ch. P.1 - Animal Athletes Different animals have very...Ch. P.1 - Animal Athletes Different animals have very...Ch. P.1 - Animal Athletes Different animals have very...Ch. P.1 - The drag force on an object moving in a liquid is...
Ch. P.1 - The drag force on an object moving in a liquid is...Ch. P.1 - Sticky Liquids BIO The drag force on an object...Ch. P.1 - The drag force on an object moving in a liquid is...Ch. P.1 - Pulling Out of a Dive Falcons are excellent fliers...Ch. P.1 - Pulling Out of a Dive Falcons are excellent fliers...Ch. P.1 - Pulling Out of a Dive Falcons are excellent fliers...Ch. P.1 - Bending Beams If you bend a rod down, it...Ch. P.1 - Bending Beams If you bend a rod down, it...Ch. P.1 - Bending Beams If you bend a rod down, it...Ch. P.1 - Additional Integrated Problems 20. You go to the...Ch. P.1 - If you stand on a scale at the equator, the scale...Ch. P.1 - Additional Integrated Problems Dolphins and other...Ch. P.2 - Prob. 1PCh. P.2 - Prob. 2PCh. P.2 - Prob. 3PCh. P.2 - Prob. 4PCh. P.2 - The following passages and associated questions...Ch. P.2 - The following passages and associated questions...Ch. P.2 - The following passages and associated questions...Ch. P.2 - The following passages and associated questions...Ch. P.2 - The following passages and associated questions...Ch. P.2 - Testing Tennis Balls Tennis balls are tested by...Ch. P.2 - Testing Tennis Balls Tennis balls are tested by...Ch. P.2 - Testing Tennis Balls Tennis balls are tested by...Ch. P.2 - Squid Propulsion Squid usually move by using their...Ch. P.2 - Squid Propulsion Squid usually move by using their...Ch. P.2 - Squid Propulsion Squid usually move by using their...Ch. P.2 - Squid Propulsion Squid usually move by using their...Ch. P.2 - Teeing Off A golf club has a lightweight flexible...Ch. P.2 - Teeing Off A golf club has a lightweight flexible...Ch. P.2 - Teeing Off A golf club has a lightweight flexible...Ch. P.2 - Teeing Off A golf club has a lightweight flexible...Ch. P.2 - Additional Integrated Problems Football players...Ch. P.2 - Additional Integrated Problems The unit of...Ch. P.2 - Additional Integrated Problems A 100 kg football...Ch. P.2 - Additional Integrated Problems A swift blow with...Ch. P.2 - Additional Integrated Problems A childs sled has...Ch. P.3 - Size and Life Physicists look for simple models...Ch. P.3 - Size and Life Physicists look for simple models...Ch. P.3 - Size and Life Physicists look for simple models...Ch. P.3 - Size and Life Physicists look for simple models...Ch. P.3 - Prob. 6PCh. P.3 - Prob. 7PCh. P.3 - Prob. 8PCh. P.3 - Prob. 9PCh. P.3 - Prob. 10PCh. P.3 - Prob. 11PCh. P.3 - Prob. 12PCh. P.3 - Prob. 13PCh. P.3 - Prob. 14PCh. P.3 - Passenger Balloons Long-distance balloon flights...Ch. P.3 - Passenger Balloons Long-distance balloon flights...Ch. P.3 - Passenger Balloons Long-distance balloon flights...Ch. P.3 - Prob. 18PCh. P.3 - Prob. 19PCh. P.3 - Prob. 20PCh. P.3 - Prob. 21PCh. P.4 - Waves in the Earth and the Ocean In December 2004,...Ch. P.4 - Waves in the Earth and the Ocean In December 2004,...Ch. P.4 - Waves in the Earth and the Ocean In December 2004,...Ch. P.4 - Waves in the Earth and the Ocean In December 2004,...Ch. P.4 - Waves in the Earth and the Ocean In December 2004,...Ch. P.4 - Prob. 6PCh. P.4 - Prob. 7PCh. P.4 - Prob. 8PCh. P.4 - Prob. 9PCh. P.4 - Prob. 10PCh. P.4 - Prob. 11PCh. P.4 - Prob. 12PCh. P.4 - Prob. 13PCh. P.4 - Prob. 14PCh. P.4 - Prob. 15PCh. P.4 - Prob. 16PCh. P.4 - In the Swing A rope swing is hung from a tree...Ch. P.4 - In the Swing A rope swing is hung from a tree...Ch. P.4 - In the Swing A rope swing is hung from a tree...Ch. P.4 - Additional Integrated Problems The jumping gait of...Ch. P.4 - Prob. 21PCh. P.5 - Scanning Confocal Microscopy Although modern...Ch. P.5 - If, because of a poor-quality objective, the light...Ch. P.5 - The resolution of a scanning confocal microscope...Ch. P.5 - Prob. 4PCh. P.5 - In a horses eye, the image of a close object will...Ch. P.5 - Prob. 6PCh. P.5 - A horse is looking straight ahead at a person who...Ch. P.5 - Prob. 8PCh. P.5 - Light of wavelength 600 nm in air passes into the...Ch. P.5 - Prob. 10PCh. P.5 - Prob. 11PCh. P.5 - 12. In human vision, the curvature of the cornea...Ch. P.5 - Prob. 13PCh. P.5 - 14. Figure V.2c shows the lens of the eye bringing...Ch. P.5 - The pupil of your eye is smaller in bright light...Ch. P.5 - People with good vision can make out an...Ch. P.5 - Prob. 17PCh. P.5 - Prob. 18PCh. P.6 - The Greenhouse Effect and Global Warming...Ch. P.6 - The Greenhouse Effect and Global Warming...Ch. P.6 - The Greenhouse Effect and Global Warming...Ch. P.6 - The Greenhouse Effect and Global Warming...Ch. P.6 - The Greenhouse Effect and Global Warming...Ch. P.6 - Prob. 6PCh. P.6 - Prob. 7PCh. P.6 - The following passages and associated questions...Ch. P.6 - Prob. 9PCh. P.6 - Prob. 10PCh. P.6 - Prob. 11PCh. P.6 - Electric Cars In recent years, practical hybrid...Ch. P.6 - Electric Cars In recent years, practical hybrid...Ch. P.6 - Electric Cars In recent years, practical hybrid...Ch. P.6 - Electric Cars In recent years, practical hybrid...Ch. P.6 - Wireless Power Transmission Your laptop has...Ch. P.6 - Wireless Power Transmission Your laptop has...Ch. P.6 - Wireless Power Transmission Your laptop has...Ch. P.6 - Wireless Power Transmission Your laptop has...Ch. P.6 - Additional Integrated Problems 20. A 20 resistor...Ch. P.6 - Prob. 21PCh. P.7 - Prob. 1PCh. P.7 - Prob. 2PCh. P.7 - Prob. 3PCh. P.7 - Prob. 4PCh. P.7 - Prob. 5PCh. P.7 - Prob. 6PCh. P.7 - Prob. 7PCh. P.7 - Prob. 8PCh. P.7 - Prob. 9PCh. P.7 - Prob. 10PCh. P.7 - Prob. 11PCh. P.7 - Prob. 12PCh. P.7 - Prob. 13PCh. P.7 - Prob. 14PCh. P.7 - Prob. 15PCh. P.7 - Prob. 16PCh. P.7 - Prob. 17PCh. P.7 - Prob. 18PCh. P.7 - Many speculative plans for spaceships capable of...Ch. P.7 - A muon is a lepton that is a higher-mass (rest...Ch. P.7 - A muon is a lepton that is a higher-mass (rest...
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