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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 and a truck start from rest at the same instant, with the car initially at some distance behind the truck. The truck has a constant acceleration of, and the car has an acceleration of. The car overtakes the truck after the truck has moved. (a) How much time does it take the car to overtake the truck? (b) How far was the car behind the truck initially? (c) What is the speed of each when they are abreast? (d) On a single graph, sketch the position of each vehicle as a function of time. Takeat the initial location of the truck.
The black dots at the top of Fig. represent a series of high-speed photographs of an insect flying in a straight line from left to right (in the positive x-direction). Which of the graphs in Fig. most plausibly depicts this insect鈥檚 motion?
At what distance above the surface of the earth is the acceleration due to the earth鈥檚 gravity 0.980 m/s2 if the acceleration due to gravity at the surface has magnitude 9.8 m/s2?
Four identical masses of 8.00kg each are placed at the corners of a square whose side length is 2.00m. What is the net gravitational force (magnitude and direction) on one of the masses, due to the other three?
The planet Uranus has a radius of and a surface acceleration due to gravity ofat its poles. Its moon Miranda (discovered by Kuiper in 1948) is in a circular orbit about Uranus at an altitude of above the planet鈥檚 surface. Miranda has a mass ofand a radius of (a) Calculate the mass of Uranus from the given data. (b) Calculate the magnitude of Miranda鈥檚 acceleration due to its orbital motion about Uranus. (c) Calculate the acceleration due to Miranda鈥檚 gravity at the surface of Miranda. (d) Do the answers to parts (b) and (c) mean that an object releasedabove Miranda鈥檚 surface on the side toward Uranus will fall up relative to Miranda? Explain.
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