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Green Sarge is once again trapped behind Beige army's lines. He reaches an impassible ravine and is forced to look for a crossing. A mile upstream, Sarge finds that the Beige army has set up a pair of taut metal wires that span the perilous ravine. Each wire is 2 cm in diameter, and is made out of steel, with density 7 g/cm3. The gap is 20m across, and at center span the wire hangs 1 m below the level of the ground on either side.
Sarge quickly approximates the rope to be a string with a very high spring constant. He estimates that the unstretched length of rope is exactly 20m, and that the additional stretch is due to half the mass of the rope being applied as a downward force in the middle of the span. 1 m
A: What is the speed of wave propagation on the rope?
Sarge notices that the cable is susceptible to vibrations. He drives the rope at a frequency such that the center of the span goes through the largest amount of motion.
B: What frequency does Sarge drive the rope at?
C: What are the wavelength and frequency of the sound wave that is created (speed of sound in air = 340 m/s)?
What is the maximum potential that the dome of a van de Graaf generator can be safely charged to if its radius is 20cm and the breakdown electric field in air is 3.0MV/m
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The given information is that a basketball is shot from an initial height of 2.40 m with an initial speed 14m/s directed at an angle 37 degrees above the horizontal
A pump is used to send oil (density 800 kg/s) through a hose the diameter of which is 5 times that of the nozzle through which the water exits. what is the gauge pressure of the oil in the pump
The bullet passes through the block and emerges with its speed reduced to 100 m/s. The block slides a distance of 0.10 m along the surface from its initial position. Illustrate what is the coefficient of kinetic friction between block and surface?
A gymnast of mass 60kg hangs from a vertical rope attached to the ceiling. You can ignore the weight of the rope and assume that the rope does not stretch. Use the value 9.81 for the acceleration of gravity.
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