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About 55812 results. 5349 free access solutions
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| 55283 | Suppose that when the United States goes completely metric, the dimensions of a football field are established as 100 m by 54 m. Which would be larger, the metric football field or a current football field (see Exercise 23a), and what would be the difference between the areas? |
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| 55284 | Some common product labels are shown in Fig. 1.17. From the units on the labels, find
(a) The number of milliliters in 2 fl. oz and
(b) The number of ounces in 100 g. |
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| 55285 | Show that the equation x = x0 + vt, where v is velocity, x and xo are lengths, and t is time, is dimensionally correct. |
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| 55286 | Short hair grows at a rate of about 2.0 cm/month. A college student has his hair cut to a length of 1.5 cm. He will have it cut again when the length is 3.5 cm. How long will it be until his next trip to the barber shop? |
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| 55287 | Round the following numbers to two significant figures:
(a) 95.61,
(b) 0.00208,
(c) 9438,
(d) 0.000344 |
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| 55288 | Nutrition Facts labels now appear on most foods. An abbreviated label concerned with fat is shown in Fig. 1.20. When burned in the body, each gram of fat supplies 9 Calories. (A food Calorie is really a kilocalorie, as will be learned in Chapter 11.)
(a) What percentage of the Calories in one serving is supplied by fat?
(b) You may notice that our answer doesn’t agree with the listed Total Fat percentage in Fig. 1.20. This is because the given Percent Daily Values are the percent-ages of the maximum recommended amounts of nutrients (in grams) contained in a 2000- Calorie diet. What are the maximum recommended amounts of total fat and saturated fat for a 2000- Calorie diet? |
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| 55289 | Newton’s second law of motion (Section 4.3) is expressed by the equation F = ma, where F represents force, m is mass, and a is acceleration.
(a) The SI unit of force is, appropriately, called the newton (N). What are the units of the newton in terms of base quantities?
(b) An equation for force associated with uniform circular motion (Section 7.3) is, F = mv2/rwhere v is speed and r is the radius of the circular path. Does this equation give the same units for the newton? |
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| 55290 | Multiple choice questions
1. Unit analysis of an equation cannot tell you if
(a) The equation is dimensionally correct,
(b) The equation is physically correct,
(c) The numerical value is correct,
(d) Both b and c. d
2. Agood way to ensure proper unit conversion is to
(a) Use another measurement instrument,
(b) Always work in the same system of units,
(c) Use unit analysis,
(d) Have someone check your math.
3. You often see 1 kg = 2.2lb. This expression means that
(a) 1 kg is equivalent to 2.2 lb,
(b) This is a true equation,
(c) 1 lb = 2.2 kg.,
(d) None of the preceding.
4. You have a quantity of water and wish to express this in volume units that give the largest number. Which of the following units should be used:
(a) in3,
(b) mL,
(c) μL,
(d) cm3?
5. Which of the following has the greatest number of significant figures?
(a) 103.07,
(b) 124.5,
(c) 0.09916,
(d) 5.408 x 105?
6. Which of the following numbers has four significant figures:
(a) 140.05,
(b) 276.02,
(c) 0.004 006,
(d) 0.073 004?
7. In a multiplication division operation involving the numbers 15 437, 201.08, and , the result should have how many significant figures:
(a) 3,
(b) 4,
(c) 5,
(d) Any number?
8. An important step in problem solving before mathematically solving an equation is
(a) Checking units,
(b) Checking significant figures,
(c) Checking with a friend,
(d) Checking to see if the result wi |
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| 55291 | Multiple choice questions
1. How many base units are there in the SI:
(a) 3,
(b) 5,
(c) 7,
(d) 9?
2. The only SI standard represented by material standard or artifact is the
(a) Meter,
(b) Kilogram,
(c) Second,
(d) Electric charge.
3. Which of the following is the SI base unit for mass:
(a) Pound,
(b) Gram,
(c) Kilogram,
(d) Ton?
4. Which of the following is not related to a volume of water:
(a) Kilogram,
(b) Pound,
(c) Gram,
(d) Tonne?
5. The prefix giga-means
(a) 10–9,
(b) 109,
(c) 10–6,
(d) 106.
6. The prefix micro- means
(a) 106,
(b) 10–6,,
(c) 103,
(d) 10-3.
7. Anew technology is concerned with objects the size of what metric prefix:
(a) Nano-,
(b) Micro-,
(c) Mega-,
(d) Giga-?
8. Which of the following has the greatest volume:
(a) 1 L,
(b) 1 qt,
(c) 2000 μL,
(d) 2000 mL?
9. Which of the following metric prefixes is the smallest:
(a) Micro-,
(b) Centi-,
(c) Nano-,
(d) milli-?
10. Both sides of an equation are equal in
(a) Numerical value,
(b) Units,
(c) Dimensions,
(d) all of the preceding. |
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| 55292 | It takes 0.210 s for a dropped object to pass a window that is 1.35 m tall. From what height above the top of the window was the object released? |
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| 55293 | Is the following statement reasonable? It took 300 L of gasoline to fill the car’s tank. |
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| 55294 | In the Tour de France, a bicyclist races up two successive (straight) hills of different slope and length. The first is 2.00 km long at an angle of 5o above the horizontal. This is immediately followed by one 3.00 km long at 7o.
(a) What will be the overall (net) angle from start to finish: (1) smaller than 5o, (2) between and 5o, or (3) greater than 7o?
(b) Calculate the actual overall (net) angle of rise experienced by this racer from start to finish, to corroborate your reasoning in part (a). |
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| 55295 | In the British system, 16 oz = 1 pt and 16oz = 1 lb. Is something wrong here? Explain. Here’s an old one: A pound of feathers weighs more than a pound of gold. How can that be? |
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| 55296 | In the Bible, Noah is instructed to build an ark 300 cubits long, 50.0 cubits wide, and 30.0 cubits high (Fig. 1.19). Historical records indicate a cubit is equal to half a yard.
(a) What would be the dimensions of the ark in meters?
(b) What would be the ark’s volume in cubic meters? To approximate, assume that the ark is to be rectangular. |
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| 55297 | In Fig. 2.25, a student at a window on the second floor of a dorm sees his math professor walking on the sidewalk beside the building. He drops a water balloon from 18.0 m above the ground when the professor is 1.00 m from the point directly beneath the window. If the professor is 1.70 m tall and walks at a rate of 0.450 m/s, does the balloon hit her? If not, how close does it come? |
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| 55298 | In Fig. 1.22, which black region has the greater area, the center circle or the outer ring? |
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| 55299 | In Exercise 64, what would be the maximum height of the stone if the boy and the stone were on the surface of the Moon, where the acceleration due to gravity is only one-sixth of that of the Earth’s? |
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| 55300 | In doing a problem, a student adds 46.9 m and 5.72 m and then subtracts 38 m from the result.
(a) How many decimal places will the final answer have: (1) zero, (2) one, or (3) two? Why?
(b) What is the final answer? |
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| 55301 | In demonstrating a dance step, a person moves in one dimension, as shown in Fig. 2.21. What are
(a) The average speed and
(b) The average velocity for each phase of the motion?
(c) What are the instantaneous velocities at t = 1.0 s, 2.5 s, 4.5 s, and 6.0 s?
(d) What is the average velocity for the interval between and t = 4.5 s and t = 9.0s? |
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| 55302 | In an air bag test, a car traveling at is remotely driven into a brick wall. Suppose an identical car is dropped onto a hard surface. From what height would the car have to be dropped to have the same impact as that with the brick wall? |
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