Chapter 1: Q3DQ (page 123)
A helium balloon hovers in mid-air, neither ascending nor descending. Is it in equilibrium? What forces act on it?
The balloon has zero acceleration which implies that it is in equilibrium. And only two forces act on the balloon; the force of gravity and the buoyant force.
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The most powerful engine available for the classic 1963 Chevrolet Corvette Sting Ray developed 360 horsepower and had a displacement of 327 cubic inches. Express this displacement in liters (L) by using only the conversions 1 L = 1000 cm3 and 1 in. = 2.54 cm.
Question: The purity of gold can be tested by weighing it in air and in water. How? Do you think you could get away with making a fake gold brick by gold-plating some cheaper material?
(a) The recommended daily allowance (RDA) of the trace metal magnesium is 410 mg/day for males. Express this quantity in µg/day. (b) For adults, the RDA of the amino acid lysine is 12 mg per kg of body weight. How many grams per day should a 75-kg adult receive? (c) A typical multivitamin tablet can contain 2.0 mg of vitamin B2 (riboflavin), and the RDA is 0.0030 g/day. How many such tablets should a person take each day to get the proper amount of this vitamin, if he gets none from other sources? (d) The RDA for the trace element selenium is 0.000070 g/day. Express this dose in mg/day.
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?
You are given two vectors and . Let counter- clockwise angles be positive. (a) What angle does make with the +x-axis? (b) What angle doeslocalid="1662185215101" make with the +x-axis? (c) Vectorlocalid="1662185222673" is the sum of localid="1662185243350" andlocalid="1662185251585" , so localid="1662185235469" What angle does localid="1662185258976" make with the +x-axis?
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