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The resistivity of copper at room temperature is 17 x 10^-9 m Ohms. What diameter of copper wire is required to give a copper wire 10 meters long a resistance of 2 x 10^-3 Ohms?
An indestructible bullet 1.85 cm long is fired straight through a board that is 11.10 cm thick. The bullet strikes board with a speed of 455m/s and emerges with a speed of 279m/s. (To simplify, suppose that the bullet accelerates only while the fr..
For a damped oscillator with a mass of 380g, the spring constant 120 N/m and a damping coefficient of 76 g/s, what is the ratio of the amplitude of the damped oscillations to the initial amplitude at the end of 28 cycles.
A car travelling at 120 strikes a tree. The front end of the car compresses and driver comes to rest after travelling 0.900.
A 1.00 kg glider on a horizontal air track is pulled by a string at an angle θ. The taut string runs over a pulley and is attached to a hanging object of mass 0.500 kg .
A 13 kg bucket of water of is suspended by a rope wrapped around a windlass that is a solid cylinder 0.400 m in diameter with mass 14.0 kg. The cylinder is pivoted on a frictionless axle through its center.
If the two halves of the log only separate by a distance of 0.05m while the wedge travels 0.2m into the log, how much force is the wedge exerting on the two halves of the log to rip them apart.
Point A is located 0.259 m away from a charge of -2.11 x 10-9 C. Point B is located 0.487 m away from the charge. What is the electric potential difference VB - VA between these two points.
A 78-kg man standing on a scale in an elevator notes that as elevator rises, the scale reads 834 N. What is the acceleration of the elevator.
Sketch on Eratosthenes' method, if two observers are due north and south of each other and are separated by 700 km, what is the circumference of their spherical world if they see same star on their meridian at altitudes of 26 degrees and 47 degrees r..
Two automobiles of equal mass approach an intersection. One vehicle is travelling with velocity 13 m/s toward the east and the other is travelling north with speed v2i. Neither driver sees the other.
You may also assume that v_0 gg sqrt{2gL}, so that the change in hammer's gravitational potential energy, as it drives the nail into the block, is insignificant.
A particle of mass m is attracted to a force center with force of magnitude k/r2. Use plane ploar coordinates and find Hamilton's equations of motion.
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