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Chapter 1: Q3DQ (page 27)
What is your height in centimeters? What is your weight in Newton?
Height in centimeters =
Weight in Newton = 942.97 N
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In Wagner’s opera Das Rheingold,the goddess Freia is ransomed for a pile of gold just tall enough and wide enough to hide her from sight. Estimate the monetary value of this pile. The density of gold is 19.3 g/cm3, and take its value to be about $10 per gram.
A hammer with mass m is dropped from rest from a height h above the earth’s surface. This height is not necessarily small compared with the radiusof the earth. Ignoring air resistance, derive an expression for the speed v of the hammer when it reaches the earth’s surface. Your expression should involve h,, and(the earth’s mass).
A physics professor leaves her house and walks along the sidewalk toward campus. After 5 min, it starts to rain, and she returns home. Her distance from her house as a function of time is shown in Fig. E2.10 At which of the labeled points is her velocity (a) zero? (b) constant and positive? (c) constant and negative? (d) increasing in magnitude? (e) decreasing in magnitude?
A rather ordinary middle-aged man is in the hospitalfor a routine checkup. The nurse writes “200” on the patient’smedical chart but forgets to include the units. Which of these quantities could the 200 plausibly represent? The patient’s (a) mass in kilograms; (b) height in meters; (c) height in centimeters;(d) height in millimeters; (e) age in months
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.
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