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Consider the action for a particle in a potential U.
a. Show that an extremal path is never that of a local maximum for the action. ("Local" means relative to nearby paths).
b. Find an example in which an extremal path is that of a local minimum for the action.
c. Find an example in which an extremal path is not that of a local minimum for the action.
A passenger with mass 85 kg rides in a Ferris wheel. The seats travel in a circle of radius 35 m . The Ferris wheel rotates at constant speed and makes one complete revolution every 25 s
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Three moles of a monatomic ideal gas are heated at a constantvolume of 2.40 m3. Theamount of heat added is 4.72 103 J. What is the change in the temperature of the gas
A 2.00 meter long, straight rod is 1.00 mm in diameter an is made of pure copper (specific gravity 8.93). What is the potential difference between the ends on the wire
an airplane with a speed of 70.2 ms is climbing upward at an angle of 48deg with respect to the horizontal. when the
An oil film (n=1.25) floats on water, and a soap film (n=1.333) is suspended in air. Find the minimum thickness for each that will result in constructive interference with 500-nm green light
Coasting along at 7.47 m/s, a 73.0 kg bicyclist on a 7.06 kgbicycle encounters a small hill. how much work was done on the bicyclist and her bike
You press two flat pieces of glass together so that a very thin layer of air is trapped between them. What is the smallest spacing between the plates
q1. a .800 kg block is attached to a spring with spring constant 16.0 nm. while the block is sitting at rest a student
The atomic masses of two isotopes of cobalt are 59 and 60. What is the number of orbiting electrons in each when the isotopes areelectrically neutral
A submarine is stranded on the bottom of the ocean with its hatch 38 m below the surface. Calculate the force needed to open the hatch from the inside
A tennis ball is dropped from 1.13 meter above the ground. It rebounds to a height of 0.821 meter. Compute with what velocity does it leave the ground
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