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Chapter 1: 18 (page 27)
If andare nonzero vectors, is it possible for both andto bezero? Explain.
Yes, it is possible both to have and zero value.
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Given two vectors and , (a) find the magnitude of each vector; (b) use unit vectors to write an expression for the vector difference ; and (c) find the magnitude and direction of the vector difference . (d) In a vector diagram show and , and show that your diagram agrees qualitatively with your answer to part (c).
Question: According to the label on a bottle of salad dressing, the volume of the contents is 0.473 liter (L). Using only the conversions 1 L = 1000 cm3 and 1 in. = 2.54 cm, express this volume in cubic inches.
Water flows steadily from an open tank as in Fig. P12.81. The elevation of point 1 is 10.0 m, and the elevation of points 2 and 3 is 2.00 m. The cross-sectional area at point 2 is 0.0480 m2; at point 3 it is 0.0160 m2. The area of the tank is very large compared with the cross-sectional area of the pipe. Assuming that Bernoulli鈥檚 equation applies, compute (a) the discharge rate in cubic meters per second and (b) the gauge pressure at point 2.
While driving in an exotic foreign land, you see a speed limit sign that reads 180,000 furlongs per fortnight. How many miles per hour is this? (One furlong is 1/8 mile, and a fortnight is 14 days. A furlong originally referred to the length of a plowed furrow.)
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?
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