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Chapter 1: Q 42E (page 29)
(I)(a) Find the scalar product of the vectors andgiven in Exercise 1.38. (b) Find the angle between these two vectors.
The angle between these two vector is .
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Four astronauts are in a spherical space station. (a) If, as is typical, each of them breathes about 500 cm3 of air with each breath, approximately what volume of air (in cubic meters) do these astronauts breathe in a year? (b) What would the diameter (in meters) of the space station have to be to contain all this air?
A Fast Pitch. The fastest measured pitched baseball left the pitcher鈥檚 hand at a speed of . If the pitcher was in contact with the ball over a distance ofand produced constant acceleration, (a) what acceleration did he give the ball, and (b) how much time did it take him to pitch it?
A swimming pool is 5.0 m long, 4.0 m wide, and 3.0 m deep. Compute the force exerted by the water against (a) the bottom and (b) either end. (Hint: Calculate the force on a thin, horizontal strip at a depth h, and integrate this over the end of the pool.) Do not include the force due to air pressure.
Question: A car鈥檚 velocity as a function of time is given by, whereand .(a) Calculate the average acceleration for the time interval . (b) Calculate the instantaneous acceleration forrole="math" .
(c) Draw graphs for the car鈥檚 motion between.
The most powerful engine available for the classic 1963 Chevrolet Corvette Sting Ray developed 360 horsepower and had a displacement of 327 cubic inches. Express this displacement in liters (L) by using only the conversions 1 L = 1000 cm3 and 1 in. = 2.54 cm.
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