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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 1000kg car is moving at a constant speed of 7 m/s when it hits the back bumper of another car with 1200kg of mass moving in the same direction at a constant speed of 6m/s
Establish the Force required to raise a 25.50 kg object by 2 pulleys, the diameter of larger circular pulley is 12.0 cm and the smaller pulley is 8.5 cm.
A car starts from rest at a stop sign. It accelerates at 4.0 m/s2 for 9 seconds, coasts for 6 s, How far apart are the stop signs
a 71 kg baseball lplayer jumps straight up to catch a line drive. If the 140 g ball is moving horizontally at 28 m/s, what is his speed immediately after stopping the ball
A sky diver of mass 81.0 kg jumps from a slow-moving aircraft and reaches a terminal speed of 51.5 m/s. What is the acceleration of the sky diver when her speed is 30.0 m/s
Three radio-equipped plumbing vans are broadcasting on the samefrequency f0. Van 1 is moving east of van 2 with thespeed v, What is the frequency of each van as received by theothers
A 2.10 x 10^3 kg car starts from rest at the top of a 4.70 m long driveway that is inclined at 25° with the horizontal. If an average friction force of 4.0 x10^3 N impedes motion, find out the speed of the car at the bottom of the driveway.
A 300-g mass at the end of a Hookean spring vibrates up and down in such a way that it is 2.0 cm above the tabletop at its lowest point, determine the amplitude of vibration
How much would an 80.0kg person weigh) on mars where an acceleration of gravity is 3.93m/s^2 and (b) on earth's moon where the acceleration of gravity is 1.63m/s^2.
A high-speed photograph of a club hitting a golf ball is shown in the figure below. find the average force exerted on the ball by the club
The cable lifting an elevator is wrapped around a 1.0-m-diameter cylinder that is turned by the elevator's motor. How long does it take for the elevator to stop
You need to produce a solenoid that has an inductance of 2.17 ?H. How long, in centimeters, should the tube be
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