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Chapter 1: Q4DQ (page 356)
4. Does the center of gravity of a solid body always lie within the material of the body? If not, give a counterexample
No, it is not necessary for the center of gravity to lie within the body.
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The density of gold is 19.3 g/cm3 . What is this value in kilograms per cubic meter?
You have probably noticed that the lower the tire pressure, the larger the contact area between the tire and the road. Why?
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.
In 2005 astronomers announced the discovery of large black hole in the galaxy Markarian 766 having clumps of matter orbiting around once every and moving at . (a) How far these clumps from the center of the black hole? (b) What is the mass of this black hole, assuming circular orbits? Express your answer in kilogram and as a multiple of sun鈥檚 mass. (c) What is the radius of event horizon?
A Honda Civic travels in a straight line along a road. The car鈥檚 distance x from a stop sign is given as a function of time t by the equation where role="math" localid="1655226337795" androle="math" localid="1655226362269" . Calculate the average velocity of the car for each time interval: (a) t = 0 to t = 2.00 s; (b) t = 0 to t = 4.00 s; (c) t = 2.00 s to t = 4.00 s.
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