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Chapter 1: Q30E (page 360)
A vertical, solid steel post 25 cm in diameter and 2.50 m long is required to support a load of 8000kg. You can ignore the weight of the post. What are (a) the stress in the post; (b) the strain in the post; and (c) the change in the post鈥檚 length when the load is applied?
(a)
(b)
(c)
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A medical technician is trying to determine what percentage of a patient鈥檚 artery is blocked by plaque. To do this, she measures the blood pressure just before the region of blockage and finds that it is , while in the region of blockage it is role="math" localid="1668168100834" . Furthermore, she knows that blood flowing through the normal artery just before the point of blockage is traveling at 30.0 cm/s, and the specific gravity of this patient鈥檚 blood is 1.06. What percentage of the cross-sectional area of the patient鈥檚 artery is blocked by the plaque?
A small rock is thrown vertically upward with a speed of22.0 m/s from the edge of the roof of a 30.0-m-tall building. Therock doesn鈥檛 hit the building on its way back down and lands onthe street below. Ignore air resistance. (a) What is the speed of therock just before it hits the street? (b) How much time elapses fromwhen the rock is thrown until it hits the street?
Neutron stars, such as the one at the center of the Crab Nebula, have about the same mass as our sun but have a much smaller diameter. If you weigh on the earth, what would you weigh at the surface of a neutron star that has the same mass as our sun and a diameter of ?
You decide to visit Santa Claus at the north pole to put in a good word about your splendid behavior throughout the year. While there, you notice that the elf Sneezy, when hanging from a rope, produces a tension of in the rope. If Sneezy hangs from a similar rope while delivering presents at the earth鈥檚 equator, what will the tension in it be? (Recall that the earth is rotating about an axis through its north and south poles.) Consult Appendix F and start with a free-body diagram of Sneezy at the equator.
Question-. (a) Does it make sense to say that a vector is negative? Why? (b) Does it make sense to say that one vector is the negative of another? Why? Does your answer here contradict what you said in part (a)?
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