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Chapter 1: Q25E (page 359)
A circular steel wire 2.00 m long must stretch no more than 0.25 cm when a tensile force of 700 N is applied to each end of the wire. What minimum diameter is required for the wire?
Minimum diameter is : d = 1.9 mm .
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How many years older will you be 1.00 gigasecond from now? (Assume a 365-day year.)
The dwarf planet Pluto has an elliptical orbit with a semi-major axis of and eccentricity .
(a) Calculate Pluto鈥檚 orbital period. Express your answer in seconds and in earth years.
(b) During Pluto鈥檚 orbit around the sun, what are its closest and farthest distances from the sun?
A jet fighter pilot wishes to accelerate from rest at a constant acceleration of to reach Mach 3 (three times the speed of sound) as quickly as possible. Experimental tests reveal that he will black out if this acceleration lasts for more than5.0s. Usefor the speed of sound. (a) Will the period of acceleration last long enough to cause him to black out? (b) What is the greatest speed he can reach with an acceleration ofbefore he blacks out?
Your uncle is in the below-deck galley of his boat while you are spear fishing in the water nearby. An errant spear makes a small hole in the boat鈥檚 hull, and water starts to leak into the galley. (a) If the hole is 0.09 m below the water surface and has area 1.20 cm2, how long does it take 10.0 L of water to leak into the boat? (b) Do you need to take into consideration the fact that the boat sinks lower into the water as water leaks in?
The driver of a car wishes to pass a truck that is traveling at a constant speed of(about). Initially, the car is also traveling at, and its front bumper isbehind the truck鈥檚 rear bumper. The car accelerates at a constant 0.600, then pulls back into the truck鈥檚 lane when the rear of the car isahead of the front of the truck. The car islong, and the truck is 21.0m long. (a) How much time is required for the car to pass the truck? (b) What distance does the car travel during this time? (c) What is the final speed of the car?
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