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Chapter 1: 15 (page 27)
Can you find a vector quantity that has a magnitude of zero but components that are not zero? Explain. Can the magnitude of a vector be less than the magnitude of any of its components? Explain.
No, a vector cannot have zero magnitude.
No, the magnitude of vector cannot be less than its components.
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A car travels in the +x-direction on a straight and level road. For the first 4.00 s of its motion, the average velocity of the car is . How far does the car travel in 4.00 s?
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’s 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.
A Tennis Serve. In the fastest measured tennis serve, the ball left the racquet at . A served tennis ball is typically in contact with the racquet forand starts from rest. Assume constant acceleration. (a) What was the ball’s acceleration during this serve? (b) How far did the ball travel during the serve?
In an experiment, a shearwater (a seabird) was taken from its nest, flown 5150 km away, and released. The bird found its way back to its nest 13.5 days after release. If we place the origin at the nest and extend the +x-axis to the release point, what was the bird’s average velocity in (a) for the return flight and (b) for the whole episode, from leaving the nest to returning?
A medical technician is trying to determine what percentage of a patient’s 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’s blood is 1.06. What percentage of the cross-sectional area of the patient’s artery is blocked by the plaque?
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