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- Question : 1 - N The average life expectancy in Japan is 81 years. What is this time in SI units?
- Question : 2 - N If you live in the United States, you probably know your height in feet and inches. In other countries, metric units are commonly used for measuring such quantities. First, find your height in inches. Then determine your height in a. centimeters and b. meters
- Question : 3 - N The age of the Earth is 4.5 billion years. What is the age of the Earth in the appropriate SI units?
- Question : 4 - N How many cubic centimeters (cm3) are in one cubic meter (m3)?
- Question : 5 - N In a laboratory, it is often convenient to make measurements in centimeters and grams, but SI units are needed for calculations. Convert the following measurements to SI units. a. 0.53 cm b. 128.92 g c. 35.7 cm3 d. 65.7 g/cm3
- Question : 6 - C What do all conversion factors have in common?
- Question : 7 - N A certain pure 0.9999 gold bullion bar with a mass of 311 g has a volume of 16.1 cm3. What is the density of gold in appropriate SI units?
- Question : 8 - N In Jules Verne
- Question : 9 - N The distance to the Sun is 93 million miles. What is the distance to the Sun in the appropriate SI units?
- Question : 10 - E, N A popular unit of measure in the ancient world was the cubit (approximately the distance between a person
- Question : 11 - N Case study On planet Betatron, mass is measured in bloobits and length in bots. You are the Earth representative on the interplanetary commission for unit conversions and find that 1 kg = 0.23 bloobits and 1 m = 1.41 bots. Express the density of a raisin (2
- Question : 12 - N Use your weight in pounds to find your mass in kilograms. (On the Earth, 1 kg weighs roughly 2.2 lb.)
- Question : 13 - N A garden snail named Archie, owned by Carl Branhorn of Pott Row, England, covered a 33-cm course in 2.0 min at the 1995 World Snail Racing Championships, held in Longhan, England (Fig. P1.13). Determine Archie
- Question : 14 - C As part of a biology field trip, you have taken an equal-arm balance (Fig. P1.14) to the beach. Your plan was to measure the masses of various mol- lusks, but you forgot to bring along your set of standard gram masses. You notice that the beach is full of pebbles. Although there are variations in color, texture, and shape, you wonder whether you can somehow use the pebbles as a standard mass set. Develop a procedure for assembling a standard mass set from the pebbles on the beach. Describe your procedure step by step so that someone else could follow it.
- Question : 15 - N An Olympic-sized swimming pool, with a 660,000-gallon capacity, is filled with a large hose in 10.0 hours. a. What is the rate at which the pool is filled, in gallons per minute and b. in liters per second? c. At this rate, how long would it take to fill a typical backyard pool, with a volume of 40.0 cubic meters?
- Question : 16 - C Which of the following exaggerated statements nevertheless uses the term
- Question : 17 - N The kilogram standard is a circular cylinder whose height and diameter both equal 39.17 mm (Fig. 1.7). What is the density of the alloy used in the standard kilogram? Problems 18 and 19 are paired.
- Question : 18 - C Acceleration a has the dimensions of length per time squared, speed v has the dimensions of length per time, and radius r has the dimension of length. Which of the following expressions may be correct? Explain your answer in each case. a. a 5 vr b. a 5 v/r c. a 5 v2/r d. a 5 v/r2
- Question : 19 - C See Problem 18. What are the dimensions of the following combinations of quantities? a. ma b. mv2/r c. mv d. mvr
- Question : 20 - A In the study of electricity later in this book, you will encounter the intriguing idea that energy can be stored by an electric field present in some region of space. In this case the energy stored is often described in terms of energy density, symbolized as u, which is the stored energy per unit volume. a. Determine the dimensions of u. Hint: Refer back to your results from Concept Exercise 1.3 to find the dimensions of energy. b. What are the SI units for u?
- Question : 21 - A In subsequent chapters, two different types of a physical quantity called energy will be defined. The kinetic energy K of an object is K 5 1 mv2. The gravitational potential energy U associated with an object
- Question : 24 - C What problem might arise if we were to multiply or divide any two numbers that have the same dimension (such as length) but different units (such as meters and feet), while working within a formula or string of calculations, as opposed to multiplying or dividing two numbers that have the same unit of measure?
- Question : 25 - A Force is the central concept in classical mechanics. It is mea- sured using the derived SI unit called the newton, represented by N. a. Use the relationship a 5 F/m to determine the dimensions of the newton in terms of mass, length, and time. Here, m stands for mass, a is the acceleration with dimensions of length per time squared, and F is the force. b. What is the
- Question : 26 - N Convert 13.7 billion years (the age of the Universe) to the appropriate SI unit. Be sure to report your answer with the correct number of significant figures.
- Question : 27 - C How many significant figures does 0.00130 m have?
- Question : 28 - C A distance with two significant figures divided by a time interval with three significant figures equals an average speed. How many significant figures does the average speed have?
- Question : 29 - C What is the number of significant figures in each of these numbers? a. 7.913
- Question : 30 - C In a laboratory, a researcher measures time using a stopwatch and finds that the time is between 10.53 s and 10.56 s. What should he report for the measured time and its error?
- Question : 31 - N Perform the following arithmetic operations, keeping the correct number of significant figures in your answer. a. The product 56.2
- Question : 32 - N Calculate the result for each of the following cases using the correct number of significant figures. a. 3.07670 ? 10.988 b. 1.0093
- Question : 33 - N Calculate the result for the following operations using the correct number of significant figures. 5.4423 3 106 a 4.008 3 103 b time squared, v is a quantity called speed that has the dimensions of length per time, and y is a distance with units of length. 3.07670 2 10.988 1 11.0093 3 105 2 9.98 3 1042 Show that the two different expressions for energy are consistent in that they have the same dimensions.
- Question : 22 - C The symbols for volume flow rate, area, and speed are, respectively, R, A, and v. The SI units of volume flow rate, area, and speed are, respectively, cubic meters per second, square meters, and meters per second. Could v = RA? Check by using dimensional analysis.
- Question : 23 - A Later in this book, you will study oscillating motion. Such motion is repetitive. Each complete repetition is called a cycle, and the frequency f is the number of cycles per unit time. The SI unit of frequency is s?1. For a block oscillating at the end of a spring, the frequency depends on the mass m of the block, and the stiffness (spring constant) k of the spring. The dimensions
- Question : 34 - C In a laboratory, a researcher fails to start a stopwatch at the beginning of an experiment. Instead he starts it a little late and finds that the time is between 17.89 s and 17.92 s. What should he report for the measurement of the time?
- Question : 35 - N Complete the following calculations and report your answer using scientific notation, the correct number of significant figures, and SI units. a. Model the Earth as a sphere with a radius of 6378.1 km. Find its volume. b. The mass of the Earth is 5.98
- Question : 36 - C A pendulum consists of a bob at the end of a string (Fig. P1.36) In one cycle the bob swings out and back to its original position. The time for one cycle is called
- Question : 37 - C In each case (a) through (d), your lab partner has measured the mass of a pendulum bob (Fig. P1.36) and reported the General Problems
- Question : 38 - E Estimate the area of your room
- Question : 39 - E Estimate both the number of hours you will spend studying physics during the current term and the total number of hours the entire class will spend studying physics this term. Show A 0.7800 440.0 B 0.6949 493.9 C 0.6559 523.2 D 0.5843 587.3 E 0.5206 659.3 F 0.4914 698.5 G 0.4378 784.0 your work and explain your assumptions.
- Question : 40 - E Measure the distance from your outstretched thumb to your outstretched pinky finger. Use that information to estimate (a) the top surface area and (b) the volume of your dresser or desk. (Indicate your choice of furniture.)
- Question : 41 - E Use your height in SI units to estimate the height of your shower stall or length of your bathtub. second sphere in inches?
- Question : 42 - E Estimate the volume of your physics classroom. Explain your process.
- Question : 43 - E Roughly speaking, what are the volume of your lungs and the volume of your stomach? Explain your work.
- Question : 44 - E Approximately how much money do you spend each year on entertainment?
- Question : 45 - E Estimate the number of living cells in a tiger.
- Question : 46 - E How many protons are there in a standard deck of 52 cards?
- Question : 47 - E Estimate the time it would take you to hike from Boston to Miami.
- Question : 48 - E In 2011, artist Hans-Peter Feldmann covered the walls of a gallery at the New York Guggenheim Museum with 100,000 onedollar bills (Fig. P1.48). Approximately how much would it cost you to wallpaper your room in one-dollar bills, assuming the bills do not overlap? Consider the cost of the bills alone, not other supplies or labor costs. magnitude of the force exerted by two particles with masses m1 and m2 on each other. The SI units of force are kg # m/s2; G is the universal gravitational constant and r is the distance sepa- rating the two particles. What are the SI units of G?
- Question : 49 - N The mass of one electron is 9.11
- Question : 50 - N Convert the following distances into SI units. Which is larger? d1 = 1.02 km d2 = 102
- Question : 51 - N A 350-seat rectangular concert hall has a width of 60.0 ft, length of 81.0 ft, and height of 26.0 ft. The density of air is 0.0755 lb/ft3. a. What is the volume of the concert hall in cubic meters? b. What is the weight of the air in the concert hall in newtons?
- Question : 52 - G Later in this book, you will learn that sound is a wave. The wavelength l and frequency f of a wave are related by l f = v where v is the speed of the wave. Musicians refer to these different wavelengths or frequencies by their notes (A?G). Use the information in the following table to plot the frequency on the vertical axis and 1/l on the horizontal axis. Give a conceptual interpretation and numerical value of the slope on your graph. results as shown. Identify and correct the flaw in each case, if one exists. If no correction is possible, explain why you cannot Pitch Wavelength l (m) Frequency f (s?1) correct the flaw. a. m = 1.23
- Question : 53 - N Two decorative spheres are carved from the same slab of marble. The radius of the first sphere, which has four times the mass of the second sphere, is 14.5 in. What is the radius of the
- Question : 54 - A Newton
- Question : 55 - A Two different expressions for finding the magnitude of a quantity called force are F 5 ma and F 5 pf 2 pi . The accel- tf 2 ti eration a has dimensions of length per time squared. Momen- tum p is equal to mv, where v is speed with the dimensions of length per time. The subscripts f and i refer to the final and initial values of those quantities, respectively. Also, m stands for mass and t stands for time. Show that the two different expressions for force are consistent in that they result in a quantity with the same dimensions.
- Question : 56 - The size of a cell in the human body is determined by a need to optimize the exchange rates between the cell
- Question : 57 - N During a visit to New York City, Lil decides to estimate the height of the Empire State Building (Fig. P1.57). She measures the angle u of elevation of the spire atop the building as 20
- Question : 58 - C, G You hypothesize that the period of a pendulum is proportional to the length of the string (Fig P1.36). The period is defined as the time for one complete cycle. You conduct some experiments to test your hypothesis. In the first trial, you measure the period to be 0.40 6 0.08 s. In the second trial, the length of the string is doubled, and you measure the period to be 0.65 6 0.08 s. All other variables are kept the same in the two trials. Discuss the extent to which the experimental evidence can be used to support or refute your belief. Are the data consistent with the notion that period is proportional to length? Can the data be used to rule out this possibility? Draw a diagram with a number line to support your answer.
- Question : 59 - N You are part of a team in an engineering class that is working on a scale model of a new design for a life vest. You have been asked to find the mass of a piece of foam that will be used for flotation. Because the piece is too bulky to fit on your balance, you break it into two parts. You measure the mass of the first part as 128.3
- Question : 60 - A Model the human body as three cylinders: a large one for the torso and two small ones for the legs. The height of each cylinder is half the height h of the person. The radius of the large cylinder is r, and the radii of the smaller cylinders are r/2. The body has a mass m. Assume the average density of the body is about the same as water, r 5 1000 kg/m3, and the radius of each cylinder is small compared with its height. Show that the body

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