(I) The approximate volume of the granite monolith known as El Capitan in Yosemite National Park (Fig. 10–47) is about 10° m³. What is its approximate mass? FIGURE 10-47 Problem 1.
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- A frequency quoted rule of thumb aircraft design is that wings should produce about 1000 N of lift per square meter of wing. (The fact that a wing has a top and bottom surface does not double its area.) (a) At takeoff, an aircraft travels at 60.0 m/s, so that the air speed relative to the bottom of the wing is 60.0 m/s. Given be sea level density of air as 1.29kg/m3, how fast must it move over be upper surface to create the ideal lift? (b) How fast must air move over the upper surface at a cruising speed of 245 m/s and at an altitude where air density is one-fourth that at sea level? (Note that his not all of be aircraft's lift—some comes from be body of the plane, some from engine thrust, and so on. Furthermore, Bernoulli's principle gives approximate answer because flow over wing creates turbulence.)A garden hose with a diameter of 2.0 cm is used to fill a bucket, which has a volume of 0.10 cubic meters. It takes 1.2 minutes to fill. An adjustable nozzle is attached to the hose to decrease the diameter of the opening, which increases the speed of the water. The hose is held level to the ground at a height of 1.0 meters and the diameter is decreased until a flower bed 3.0 meters away is reached. (a) What is the volume flow rate of the through the nozzle when the diameter 2.0 cm? (b) What does is the speed of coming out of the hose? (c) What does the speed of the water coming out of the hose need to be to reach the flower bed 3.0 meters away? (d) What is be diameter of nozzle needed to reach be flower bed?By how much does the density of air increase when it is compressed to half its volume?
- A trash compactor can compress its contents to 0.350 times their original volume. Neglecting the mass of air expelled, by what factor is the density of the rubbish increased?Experienced hikers prefer to step over a fallen log in theirpath rather than stepping on top and stepping down on theother side. Explain.A horizontal 4.0 m long plastic bar at one end is attached to a wall by a frictionless hinge and atthe other end is held down by a wire that is at 60 ° to the horizontal as shown. It needs to beheld down because the bar is of negligible mass (so you can take its mass to be zero) and at the middle of the bar is a 1.6 kg balloon that is 4.2 m3 (those are the total mass and volume foreverything: a rubber envelope and the helium in it). What are the magnitudes of the horizontal and vertical components of the force on the bar due to the hinge? Hint: First apply Newtons second law to the balloon to determine the tension of the stringbetween the balloon and the bar
- If a glass of water is on a table with a piece of paper under it, it is relatively easy to pull the paper out without disturbing the glass very much if the pull is done very quickly. This is because, with a quick pull:A short timber post of rectangular section has one side twice the other.It contracts by 0.05 cm/m. When loaded axially by 10kN, calculate thesections dimension of the post. E= 0.1x10^5N/mm^2Only with great difficulty can you crush an egg when squeezing it along its long axis, but it breaks easily if you squeeze it sideways. Why?
- A copper wire of length 2.2 m and a steel wire of length 1.6 m, both ofdiameter 3.0 mm, are connected end to end. When stretched by a load, the net elongation is found to be 0.70 mm. Obtain the load applied.A raft is made of 17 logs lashed together. Each is 31.5 cm in diameter and has a length of 7.00 m. How many people (whole number) can the raft hold before they start getting their feet wet, assuming the average person has a mass of 75.0 kg? Do not neglect the weight of the logs. Assume the density of wood is 600 kg/m3 (answer should be no. of people in whole number)On a part-time job, you are asked to bring a cylindrical iron rod of length 85.8 cm and diameter 2.85 cm from a storage room to a machinist. Will you need a cart?