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An object of mass m moves in one dimension under the influence of the following conservative potential function: U(x) = x2 + 2x - 1. No other potentials are acting on the object.
a) Determine the acceleration of the object.
b) Determine the location along x at which the potential is minimized. Denote this point as xo.
c) At xo, is the potential stable, unstable or critically stable?
The magnitude of the electrostatic force between two identical ions of mass 1.224×10-25 kg that are separated by a distance of 6.50 nm is 1.770×10-9 N. Calculate the electric field at the site of each ion
A man exerts a 328 N force to move a box across a 3.55-m patch of ice. How much work does he do on the box.
Two converging lenses, separated by a distance of 40.5 cm, are used in combination. The first lens, located to the left, has a focal length of 15.7 cm. Find the intermediate image distance relative to the corresponding lenses
A nuclear power plant has an electrical power output of 1700 MW and operates with an efficiency of 34%. what is the rise in temperature of the flowing water
Starting from rest, a basketball rolls from the top of a hill to the bottom, reaching a translational speed of 3.93 m/s. Ignore frictional losses. What is the height of the hill
During a day time football game you notice that a player's reflective helmet forms an image of the sun 3.2 cm behind the surface of the helmet
A circular loop of wire of radius 18 cm moves at a speed of 6.6 m/s in the direction of a 0.13 T uniform magnetic field, What is the emf induced in the loop
Under some circumstances, a star can collapse into an extremely dense object made mostly of neutrons and called a neutron star. find the angular speed of the neutron star
An objects average density, p, is defined as the ration of its mass to its volume: p = M/V. The Earth's mass is 5.94x10^24 kg and its volume is 1.08x10^12 km^3
A 1.10 liter flask contains a certain quantity of ideal gas at 320 K. Then an equal number of molecules of the same gas is added to the flask, after which the absolute pressure is 1.35 times its original value. Define is the final temperature?
Two points are located on a rigid wheel that is rotating with an increasing velocity about fixed axis. The axis is perpendicular to the wheel at its center. Point 1 is located on the rim and point 2 is halfway between rim and axis .at any given insta..
Points A, B, and C are at the vertices of an equilateral triangle.A certain positive charge q placed at A produces anelectric field of magnitude 235 N/C at C.Suppose a second, identical charge is placed at B. What is themagnitude of the new electric ..
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