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1. A scientist proposes construction of a space elevator by using a steel wire to raise a mass from the Earth's surface to a satellite 1000 km above the Earth's surface. Assume the steel wire has a diameter of 1 mm. a) What is the mass of the wire? b) Estimate the extension of the wire due to its weight. Assume that all parts of the wire experience the same acceleration of gravity as at the surface of the Earth. c) Is this realistic? 2. Greenland Icecap a) Estimate the rise in sea level if the Greenland ice cap fully melts. b) How much does your answer change if you also consider the melting of ice in the waters surrounding Greenland? 3. A cube having volume 100 cm3 floats in water. a) If 70% of the cube is submerged, what is its density? b) The cube is next placed in an unknown liquid and 90% of it is submerged. What is the density of the liquid? 4. A water tank has a small hole near its bottom at a depth h from the top surface. What is the speed of the stream of water emerging from the hole? 5. Gas Pressure a) Estimate the density of air at sea level and a temperature of 20 o C. b) Consider a nitrogen molecule travelling at the speed of sound that bounces perpendicularly off the wall of a chamber. Assume its speed is not changed while its direction is reversed. What momentum is transferred to the wall? c) Estimating the number of collisions per m2 per second with the wall by multiplying the half the particle density times the speed. (The factor half takes into account that the molecules move randomly and only half have a velocity component toward the wall.) d) Estimate the gas pressure.
A small sphere of mass m = 6.10 g and charge q1 = 29.2 nC is attached to the end of a string and hangs vertically. A second charge of equal mass and charge q2 = 58.0 nC is located below the first charge a distance d = 2.00 cm below the first charg..
A loop of wire in the shape of a rectangle of width 8 cm and length 90 cm and a long, straight wire carrying acurrent I= 5t^1.4-3t^1.8 downward lie on a tabletop; What is the direction of the induced current
A 3m long ladder leans against a frictionless wall. The coefficent of static friction between teh ladder and the floor is .40. What is the minimum angle the ladder can make
An RLC circuit with R = 29.7\Omega , L = 347mH , and C = 48.8\mu F is connected to an ac generator with an rms voltage of 28V . Determine the average power delivered to this circuit
A person runs up a long flight of stairs in 10 seconds. If the person's weight is 500 N and the vertical height of the stairs is 20 meters, what is the person's power output
An unstable atomic nucleus of mass 1.76 10-26 kg initially at rest disintegrates into three particles. One of the particles, of mass 5.12 10-27 kg, calculate the total kinetic energy increase in the process
Three charges make a triangle. Q1 is a 50 uC charge at the origin. Q2 is a -86 uC charge at (.52 m, 0). Q3 is a 65 uC charge at (0, .3). what is the total force on Q3?
A spacecraft is in orbit around a planet. The radius of the orbit is 3.2 times the radius of the planet (which is R = 71466 km). What is the period of the spacecraft's orbit
A ball with a mass of 0.620 kg is initially at rest. It is struck by a second ball having a mass of 0.370 kg, find the change in the total kinetic energy of the two balls
question1a cargo plane is flying horizontally at a height of 10.2 km with a speed of 970 kmh when a large crate falls
What is magnitude of the gravitational attraction
A rectangular block of irons of resistivity 9.68 x 10^8 ohms has dimensions 1.50 x 1.20 x 12.0 cm , What is the maximum resistance of the block
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