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Chapter 1: Q10DQ (page 57)
Can you have zero acceleration and nonzero velocity? Use a graph to explain.
If at any time velocity is constant, then acceleration will be zero.
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A typical adult human has a mass of about . (a) What force does a full moon exert on such a human when directly overhead with its centre away? (b) Compare this force with the pressure exerted on the human by the earth.
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?
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).
Planet Vulcan.Suppose that a planet were discovered between the sun and Mercury, with a circular orbit of radius equal to of the average orbit radius of Mercury. What would be the orbital period of such a planet? (Such a planet was once postulated, in part to explain the precession of Mercury’s orbit. It was even given the name Vulcan, although we now have no evidence that it actually exists. Mercury’s precession has been explained by general relativity.)
In each case, find the x- and y-components of vector: (a); (b); (c); (d), where.
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