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An object of mass m moves in a circular orbital under the influence of an harmonic oscillator potential U(r)=1/2(alpha)r^2 where alpha is constant and r is measured from the center of the circle. Since the center of circular orbit and the force center coincide, the force must always be directed radially inward toward the center of the circle. Use this fact to show that the orbital period is independent of the radius of the orbit.
Determine the energy of the orbiting object and its angular momentum as functions of the orbital radius r.
What was the bullet's speed as it left the barrel. A 1kg block rests against one end of a horizontal spring which is compressed by 10 $cm$.
A force of 7 pounds is required to hold a spring stretched 0.5 feet beyond its natural length. How much work (in foot-pounds) is done in stretching the spring from its natural length to 0.9 feet beyond its natural length.
A 500-eV electron and a 300-eV electron trapped in a uniform magnetic field move in circular paths in a place perpendicular to the manetic field
A wagon is being pulled up a hill by a running child. Derive the work done by friction on the wagon
A suitcase is pulled by a tether that makes a 60 degree angle with the horizontal. what is the magnitude of the pull
A 100-m-long train accelerates uniformly from rest. If the front of the train passes a railway worker 166-m down the track at a speed of 21 m/s, what will be the speed of the last car as it passes the worker.
what was the cars original kinetic energy? after the car has stopped, what is the change in temperature of the brakes and wheels?
A 6.00m long string sustains a three-loop standing wave pattern as shown. The wave speed is 2.00 x 10^2 m/s. What is the frequency of vibration
The length of a string is 532cm. It is held fixed at each end. The string vibrates in seven sections; i.e. string has seven antinodes, and the string vibrates at 150 Hz. What is the wavelength.
A potential difference of 100 mV exists between the inner and outer surfaces of a cell membrane. How much work is required to eject a positive sodium ion (Na+) from the interior of the cell
A particle with a mass of 3.65×10?24 kg and a charge of 6.40×10?19 C starts at rest and is accelerated for a distance of 0.104 m through a uniform electric field having strength E = 7.25×104 N/C
Two insulated wires, each 2.94 m long, are taped together to form a two-wire unit that is 2.94 m long. One wire carries a current of 8.36 A, What is the current I
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