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 10, Problem 26P
A 900 N crate slides 12m down a ramp that makes an angle of 35° with the horizontal. If the crate slides at a constant speed, how much thermal energy is created?
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ROTATIONAL DYNAMICS
Question 01
A solid circular cylinder and a solid spherical ball of the same mass and radius are rolling
together down the same inclined. Calculate the ratio of their kinetic energy. Assume pure
rolling motion Question 02
A sphere and cylinder of the same mass and radius start from ret at the same point and more
down the same plane inclined at 30° to the horizontal
Which body gets the bottom first and what is its acceleration
b) What angle of inclination of the plane is needed to give the slower body the same
acceleration
Question 03
i)
Define the angular velocity of a rotating body and give its SI unit
A car wheel has its angular velocity changing from 2rads to 30 rads
seconds. If the radius of the wheel is 400mm. calculate
ii)
The angular acceleration
iii)
The tangential linear acceleration of a point on the rim of the wheel
Question 04
in 20
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)
none of the previous. Justify your answer.
f)
[5 marks]
A conformally…
SECTION B
Answer ONLY TWO questions in Section B
[Expect to use one single-sided A4 page for each Section-B sub question.]
Question B1
Consider the line element
where w is a constant.
ds²=-dt²+e2wt dx²,
a) Determine the components of the metric and of the inverse metric.
[2 marks]
b) Determine the Christoffel symbols. [See the Appendix of this document.]
[10 marks]
c)
Write down the geodesic equations.
[5 marks]
d) Show that e2wt it is a constant of geodesic motion.
[4 marks]
e)
Solve the geodesic equations for null geodesics.
[4 marks]
Chapter 10 Solutions
College Physics: A Strategic Approach (3rd Edition)
Ch. 10 - The brake shoes of your car are made of a material...Ch. 10 - When you pound a nail with a hammer, the nail gets...Ch. 10 - For Questions 3 through 1 0, give a specific...Ch. 10 - For Questions 3 through 1 0, give a specific...Ch. 10 - For Questions 3 through 10, give a specific...Ch. 10 - For Questions 3 through 10, give a specific...Ch. 10 - For Questions 3 through 1 0, give a specific...Ch. 10 - For Questions 3 through 1 0, give a specific...Ch. 10 - For Questions 3 through 1 0, give a specific...Ch. 10 - For Questions 3 through 1 0, give a specific...
Ch. 10 - A ball of putty is dropped from a height of 2 m...Ch. 10 - A 0.5 kg mass on a 1-m-long string swings in a...Ch. 10 - Particle A has less mass than particle B. Both are...Ch. 10 - Puck B has twice the mass of puck A. Starting from...Ch. 10 - To change a tire, you need to use a jack to raise...Ch. 10 - Prob. 16CQCh. 10 - A roller coaster car rolls down a frictionless...Ch. 10 - A spring gun shoots out a plastic ball at speed v....Ch. 10 - Sandy and Chris stand on the edge of a cliff and...Ch. 10 - A solid cylinder and a hollow cylinder have the...Ch. 10 - You are much more likely to be injured if you fall...Ch. 10 - A roller coaster starts from rest at its highest...Ch. 10 - You and a friend each carry a 15 kg suitcase up...Ch. 10 - A woman uses a pulley and a rope to raise a 20 kg...Ch. 10 - A hockey puck sliding along frictionless ice with...Ch. 10 - A block slides down a smooth ramp, starting from...Ch. 10 - A wrecking ball is suspended from a 5.0-m-long...Ch. 10 - Prob. 1PCh. 10 - The two ropes seen in Figure P10.2 are used to...Ch. 10 - The two ropes shown in the bird's-eye view of...Ch. 10 - Prob. 4PCh. 10 - A boy flies a kite with the string at a 30 angle...Ch. 10 - A crate slides down a ramp that makes a 20 angle...Ch. 10 - Which has the larger kinetic energy, a 10 g bullet...Ch. 10 - At what speed does a 1000 kg compact car have the...Ch. 10 - Prob. 9PCh. 10 - The cheetah is the fastest land animal, reaching...Ch. 10 - How fast would an 80 kg man need to run in order...Ch. 10 - Sams job at the amusement park is to slow down and...Ch. 10 - A 20 g plastic ball is moving to the left at 30...Ch. 10 - Prob. 14PCh. 10 - An energy storage system based on a flywheel (a...Ch. 10 - The lowest point in death Valley is 85.0 m below...Ch. 10 - Prob. 17PCh. 10 - The world's fastest humans can reach speeds of...Ch. 10 - A 72 kg bike racer climbs a 1200-m-long section of...Ch. 10 - A 1000 kg wrecking ball hangs from a 15-m-long...Ch. 10 - How far must you stretch a spring with k = 1000...Ch. 10 - How much energy can be stored in a spring with a...Ch. 10 - The elastic energy stored in your tendons can...Ch. 10 - Marissa drags a 23 kg duffel bag 14 m across the...Ch. 10 - Mark pushes his broken car 150 m down the block to...Ch. 10 - A 900 N crate slides 12m down a ramp that makes an...Ch. 10 - A 25 kg child slides down a playground slide at a...Ch. 10 - A boy reaches out of a window and tosses a ball...Ch. 10 - Prob. 29PCh. 10 - What minimum speed does a 100 g puck need to make...Ch. 10 - A car is parked at the top of a 50-m-high hill....Ch. 10 - A 1500 kg car is approaching the hill shown in...Ch. 10 - A 10 kg runaway grocery cart runs into a spring,...Ch. 10 - As a 15,000 kg jet lands on an aircraft carrier,...Ch. 10 - Your friend's Frisbee has become stuck 16m above...Ch. 10 - A fireman of mass 80 kg slides down a pole. When...Ch. 10 - Prob. 37PCh. 10 - Prob. 38PCh. 10 - In the winter activity of tubing, riders slide...Ch. 10 - A cyclist is coasting at 12 m/s when she starts...Ch. 10 - A 50 g marble moving at 2.0 m/s strikes a 20 g...Ch. 10 - Ball 1, with a mass of 100 g and traveling at 10...Ch. 10 - Prob. 43PCh. 10 - Two balls undergo a perfectly elastic head-on...Ch. 10 - Prob. 45PCh. 10 - Prob. 46PCh. 10 - A 1000 kg sports car accelerates from 0 to 30m/sin...Ch. 10 - In just 0.30 s, you compress a spring (spring...Ch. 10 - An elite Tour de France cyclist can maintain an...Ch. 10 - A 710 kg car drives at a constant speed of 23 m/s....Ch. 10 - An elevator weighing 2500 N ascends at a constant...Ch. 10 - How much work does Scott do to push a 80 kg sofa...Ch. 10 - A 550 kg elevator accelerates upward at 1.2 m/s2...Ch. 10 - Prob. 54GPCh. 10 - Prob. 55GPCh. 10 - Prob. 56GPCh. 10 - You are driving your 1500 kg car at 20 m/s down a...Ch. 10 - A 20 kg child is on a swing that hangs from...Ch. 10 - Prob. 59GPCh. 10 - A cannon tilted up at a 30 angle fires a cannon...Ch. 10 - The sledder shown in Figure P10.61 starts from the...Ch. 10 - A 50 g ice cube can slide without friction up and...Ch. 10 - The maximum energy a bone can absorb without...Ch. 10 - In an amusement park water slide, people slide...Ch. 10 - Boxes A and B in Figure P10.69 have masses of 12.0...Ch. 10 - What would be the speed of the boxes in Problem 69...Ch. 10 - A 20 g ball is fired horizontally with initial...Ch. 10 - Two coupled boxcars are rolling along at 2.5 m/s...Ch. 10 - A fish scale, consisting of a spring with spring...Ch. 10 - A 70 kg human sprinter can accelerate from rest to...Ch. 10 - A 50 g ball of clay traveling at 6.5 m/s hits and...Ch. 10 - Prob. 78GPCh. 10 - The mass of an elevator and its occupants is 1200...Ch. 10 - Prob. 80GPCh. 10 - Tennis Ball Testing A tennis ball bouncing on a...Ch. 10 - Tennis Ball Testing A tennis ball bouncing on a...Ch. 10 - Tennis Ball Testing A tennis ball bouncing on a...Ch. 10 - Prob. 84MSPPCh. 10 - Tennis Ball Testing A tennis ball bouncing on a...Ch. 10 - Work and Power in Cycling When you ride a bicycle...Ch. 10 - Work and Power in Cycling When you ride a bicycle...Ch. 10 - Work and Power in Cycling When you ride a bicycle...Ch. 10 - Work and Power in Cycling When you ride a bicycle...Ch. 10 - Work and Power in Cycling When you ride a bicycle...
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