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Though human beings have been able to fly hundreds of thousands of miles into outer space, getting inside the earth has proven much extra difficult. The deepest mines ever drilled are only regarding 10miles deep. To illustrate the difficulties associated with such drilling, Think about the following: The density of steel is about7900 KG per cubic meter, and its breaking stress, defined as the maximum stress the material can bear without deteriorating, is about 2.0 \times 10^9 pascals. What is the maximum length of a steel cable that can be lowered into a mine? Suppose that the magnitude of the acceleration due to gravity remains constant at 9.8 meters per second per second.
Water flows through a Venturi meter with a pipe diameter of 9.0 cm and a constriction diameter of 5.6 cm. Find the flow rate of the water in the pipe of 9.0 cm diameter
Nitrogen at 5 X 10^5 Pa and 80 degrees C is on one side of a partition, occupying 1/3 of the volume of a 1.2 m^3 container. find the final pressure and temprature
A parallel-plate capacitor has a capacitance of c1 = 5.5 ?F when filled with air and c2 = 33 ?F when filled with a dielectric oil at potential difference of 12 V, Input an expression for the permittivity of the oil
you are to launch a rocket from just above the ground with one of the following initial velocity vectors 1 v initial
Scientists are experimenting with a kind of gun that may eventually be used to fire payloads directly into orbit. How much time is required for the projectile to come up to speed
Suppose you have an electric hot water heater for your house which is an aluminum cylinder which has a 0.46 m radius and is 2 m high. How much energy is lost through the walls of the hot water heater
You are at a rock concert and find that when you stand 15 m from a speaker, the intensity is so high that it hurts your ears. how far from the speaker should you stand
a mass-spring system has k=54.4 N/m and m=0.465kg. Find the period of its simple harmonic motion and Find the frequency of its simple harmonic motion
Suppose a small boat is at the crest of this wave, 1.5 {rm m} above the equilibrium position. Illustrate what will the vertical position of the boat be 5 seconds later?
two untethered astronauts at rest are in space when one pushes off the other. How far apart are the two astronauts after 1 minute
A 9.0 cm-diameter disk emits light uniformly from its surface. 20 cm from this disk, along its axis, is an 7.0 cm-diameter opaque black disk; the faces of the two disks are parallel. 20 cm beyond the black disk is a white viewing screen. The light..
A helium weather balloon is used to lift a meteorological sensor package high up into the atmosphere. Calculate the number of moles of helium in the balloon
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