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A mass m is confined to move along a straight line in a potential well given by U(x) = - Eo/(1 + (x/a)2)3, where a and Eo are positive constants.
A] Write the equation for the force acting on the particle.
B] Find the point (or points) at which the particle is in equilibrium.
C] For each point found in Part B, determine if the point is stable, unstable, or neutral equilibrium.
Some sliding rocks approach the base of a hill with a speed of 15.0m/s . The hill rises at 42.0? above the horizontal, Find the acceleration of the rocks as they slide up the hill
A rectangular block of ice 9.00 m on each side and 0.7 m thick floats in sea water. The density of the sea water is 1025kg/m3. The density of ice is 919kg/m3. How high does the top of the ice block float above the water level.
An electron is constrained to the central axis of a ring of charge 1 coulomb and of radius 1 meter. Find the frequency of oscillation of the electron in Hertz
a man sitting in a bosun's chair that dangles from a massless rope, which runs over a massless frictionless pulley, In each of the four cases, what is the force exerted on the ceiling by the pulley system
A 15 g rifle bullet traveling 205 m/s buries itself in a 3.4 kg pendulum hanging on a 2.6 m long string, which makes the pendulum swing upward in an arc. Find out the vertical and horizontal components of the pendulum's displacement.
The water in a deep underground well is used as the cold reservoir of a Carnot heat pump that maintains the temperature of a house at 294 K. Determine the temperature of the well water
Two point charges q and 4q are at x=0 and x=L, respectively, and free to move. A third charge is placed so that the entire three-charge system is in static equilibrium. What is the magnitude of the third charge
A cyclist starts from rest and coasts down a 6.5? hill. The mass of the cyclist plus bicycle is 95kg. The cyclist has traveled 270m. What was the net work done by gravity on the cyclist
A laser emits a narrow beam of light. The radius of the beam is 1.0 mm, and the power is 2.8 mW. What is the intensity of the laser beam
Two conductors are made of the same material and have the same length. Conductor A is a solid wire of diameter 1.5 mm. What is the resistance ratio RA/RB, measured between their ends
If the contact time with the sidewalk is 1800s, what is the magnitude of an average force exerted on the superball by the sidewalk.
A Carnot engine whose cold reservoir temperature is 1.0 C has a thermal efficiency of 40%. By how much should the temperature of the hot reservoir be increased to raise the efficiency to 60%?
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