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Chapter 1: Q6DQ (page 193)
In Example 5.5 (Section 5.1), how does the work done on the bucket by the tension in the cable compare with the work done on the cart by the tension in the cable?
The total work done on bucket is negative and work done on the cart is positive.
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The following conversions occur frequently in physics and are very useful. (a) Use 1 mi = 5280 ft and 1 h = 3600 s to convert 60 mph to units of ft/s. (b) The acceleration of a freely falling object is 32 ft/s2. Use 1 ft = 30.48 cm to express this acceleration in units of m/s2. (c) The density of water is 1.0 g/cm3. Convert this density to units of kg/m3.
A rocket starts from rest and moves upward from the surface of the earth. For the first 10.0 s of its motion, the vertical acceleration of the rocket is given by ay = (2.80 m/s3) t, where the +y-direction is upward. (a) What is the height of the rocket above the surface of the earth at t = 10.0 s? (b) What is the speed of the rocket when it is 325 m above the surface of the earth?
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?
A driver in Massachusetts was sent to traffic court for speeding. The evidence against the driver was that a policewoman observed the driver鈥檚 car alongside a second car at a certain moment, and the policewoman had already clocked the second car going faster than the speed limit. The driver argued, 鈥淭he second car was passing me. I was not speeding.鈥� The judge ruled against the driver because, in the judge鈥檚 words, 鈥淚f two cars were side by side, both of you were speeding.鈥� If you were a lawyer representing the accused driver, how would you argue this case?
A useful and easy-to-remember approximate value for the number of seconds in a year is饾洃脳107. Determine the percent error in this approximate value. (There are 365.24 days in one year.)
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