University Physics Volume 1
18th Edition
ISBN: 9781938168277
Author: William Moebs, Samuel J. Ling, Jeff Sanny
Publisher: OpenStax - Rice University
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Chapter 1, Problem 1.5CYU
Check Your Understanding Suppose we want the formula for the volume of a sphere. The two expressions commonly mentioned in elementary discussions of spheres are
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University Physics Volume 1
Ch. 1 - Check Your Understanding Restate 4.79105kg using a...Ch. 1 - Check Your Understanding Light navels about 9 Pm...Ch. 1 - Check Your Understanding We know horn Figure 1.4...Ch. 1 - Check Your Understanding Given that 1 lb (pound)...Ch. 1 - Check Your Understanding Suppose we want the...Ch. 1 - Check Your Understanding Is the equation...Ch. 1 - Check Your Understanding Figure 1.4 says the mass...Ch. 1 - Check Your Understanding A high school track coach...Ch. 1 - The Scope and Scale of Physics What is physics?Ch. 1 - The Scope and Scale of Physics Some have described...
Ch. 1 - The Scope and Scale of Physics If two different...Ch. 1 - The Scope and Scale of Physics What determines the...Ch. 1 - The Scope and Scale of Physics Certain criteria...Ch. 1 - The Scope and Scale of Physics Can the validity of...Ch. 1 - Units and Standards Identify some advantages of...Ch. 1 - Units and Standards What are the SI base units of...Ch. 1 - Units and Standards What is the difference between...Ch. 1 - For each of the following scenarios, refer to...Ch. 1 - Significant Figures (a) What is the relationship...Ch. 1 - Solving Problems in Physics What information do...Ch. 1 - Solving Problems in Physics What should you do...Ch. 1 - The Scope and Scale of Physics Find the order of...Ch. 1 - Use the orders of magnitude you found in the...Ch. 1 - Roughly how many heartbeats are there in a...Ch. 1 - A generation is about one-third of a lifetime....Ch. 1 - Roughly how many times longer than the mean life...Ch. 1 - Calculate the approximate number of atoms in a...Ch. 1 - (a) Calculate the number of cells in a hummingbird...Ch. 1 - Assuming one nerve impulse must end before another...Ch. 1 - About how many floating-point operations can a...Ch. 1 - Roughly how many floating-point operations can a...Ch. 1 - The following times are given using metric...Ch. 1 - The following times are given in seconds. Use...Ch. 1 - The following lengths are given using metric...Ch. 1 - The following lengths are given in meters. Use...Ch. 1 - The following masses are written using metric...Ch. 1 - The following masses are given in kilograms. Use...Ch. 1 - The volume of Earth is on the order of 1021m3 ....Ch. 1 - The speed limit on some interstate highways is...Ch. 1 - A car is traveling at a speed of 33 m/s. (a) What...Ch. 1 - In SI units, speeds are measured in meters per...Ch. 1 - American football is played on a 100-yd-long...Ch. 1 - Soccer fields vary in size. A large soccer field...Ch. 1 - What is the height in meters of a person who is...Ch. 1 - Mount Everest, at 29,028ft , is the tallest...Ch. 1 - The speed of sound is measured to be 342 m/s on a...Ch. 1 - Tectonic plates are large segments of Earth’s mist...Ch. 1 - The average distance between Earth and the Sun is...Ch. 1 - The density of nuclear matter is about 1018kg/m3 ....Ch. 1 - The density of aluminum Is 2.7g/cm3 . What is the...Ch. 1 - A commonly used turn of mass in the English system...Ch. 1 - A furlong is 220 yd. A fortnight is 2 weeks....Ch. 1 - It takes 2 radians (rad) to get around a circle,...Ch. 1 - Light travels a distance of about 3108m/s . A...Ch. 1 - A light-nanosecond is the distance light travels...Ch. 1 - An electron has a mass of 9.1110-31kg . A proton...Ch. 1 - A fluid ounce is about 30mL. What is the voIume of...Ch. 1 - A student is trying to remember some formulas from...Ch. 1 - Consider the physical quantities s,v,a, and t with...Ch. 1 - Consider the physical quantities m,s,v,a, and t...Ch. 1 - Suppose quantity s is a length and quantity t is a...Ch. 1 - Suppose [V]=L3,[]=ML3, and [t]=T . (a) What is the...Ch. 1 - The arc length formula says the length sof arc...Ch. 1 - Estimates and Fermi Calculations Assuming the...Ch. 1 - Assuming the human body is primarily made of...Ch. 1 - Estimate the mass of air in a classroom.Ch. 1 - Estimate the number of molecules that make up...Ch. 1 - Estimate the surface area of a person.Ch. 1 - Roughly how many solar systems would it take to...Ch. 1 - (a) Estimate the density of the Moon. (b) Estimate...Ch. 1 - The average density of the Sun is on the order...Ch. 1 - Estimate the mass of a virus.Ch. 1 - A floating-point operation is a single arithmetic...Ch. 1 - Consider the equation 4000/400=10.0 . Assuming the...Ch. 1 - Suppose your bathroom scale reads your mass as 65...Ch. 1 - A good-quality measuring tape can be off by 0.50cm...Ch. 1 - An infant’s pulse rate is measured to be 1305...Ch. 1 - (a) Suppose that a person has an average heart...Ch. 1 - A can contains 375 mL of soda. How much is left...Ch. 1 - State how many significant figures are proper In...Ch. 1 - (a) How many significant figures are in the...Ch. 1 - (a) If your speedometer has an uncertainty of 2.0...Ch. 1 - (a) A person’s blood pressure is measured to be...Ch. 1 - A person measures his or her heart rate by...Ch. 1 - What is the area of a circle 3.102 cm in diameter?Ch. 1 - Determine the number of significant figures in the...Ch. 1 - Perform the following calculations and express...Ch. 1 - Consider the equation y=mt+b, where the dimension...Ch. 1 - Consider the equation...Ch. 1 - (a) A car speedometer has a 5% uncertainty. What...Ch. 1 - A marathon runner completes a 42.188-km course in...Ch. 1 - The sides of a small rectangular box are measured...Ch. 1 - When nonmetric units we used in the United...Ch. 1 - The length and width of a rectangular room are...Ch. 1 - A car engine moves a piston with a circular...Ch. 1 - The first atomic bomb was detonated on July 16,...Ch. 1 - The purpose of this problem is to show the entire...
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- Figure P1.6 shows a frustum of a cone. Match each of the three expressions (a) (r1 + r2)[h2 + (r2 r1)2]1/2, (b) 2(r1 + r2), and (c) h(r12 + r1r2 + r22)/3 with the quantity it describes: (d) the total circumference of the flat circular faces, (e) the volume, or (f) the area of the curved surface. Figure P1.6arrow_forwardA commonly used turn of mass in the English system Is the pound-mass, abbreviated Ibm, where 1 Ibm = 0.454 kg. What is the density of water in pound-mass per cubic foot?arrow_forwardIn general, when a derived unit becomes complicated (involves too many standard units), what is done?arrow_forward
- Consider the equation y=mt+b, where the dimension of y is length and the dimension of t is time, and mand bare constants. What are the dimensions and SI units of (a) mand (b) b ?arrow_forwardThe polar coordinates of a point are r = 5.50 m and = 240. What are the Cartesian coordinates of this point?arrow_forwardConsider the equation 4000/400=10.0 . Assuming the number of significant figures in the answer is correct, what can you say about the number of significant figures In 4000 and 400?arrow_forward
- A sidewalk is to be constructed around a swimming pool that measures (10.0 0.1) m by (17.0 0.1) m. If the sidewalk is to measure (1.00 0.01) m wide by (9.0 0.1) cm thick, what volume of concrete is needed and what is the approximate uncertainty of this volume?arrow_forwardThe purpose of this problem is to show the entire concept of dimensional consistency can be summarized but the old saying “You can’t add apples and oranges.” It you have studied power series expansions in a calculus course, you know the standard mathematical funstions such as trigonometric functions, logarithms, and exponential function can be expressed as infinite sums of the form where the an are dimensionless constants for all n = 0, 1, 2, … and x is the argument of the function. (If you have not studied power series in calculus yet, just trust us.) Use this fact to explain why the requirement that all terms in an equation have the same dimensions is sufficient as a definition of dimensional consistency. That is, it actually implies the arguments of standard mathematical funstions must be dimensional consistency. That is, it actually implies the arguments of standard mathematical functions must be dimensionless, so it is not really necessary to make this latter condition a separate requirement of the definition of dimensional consistency as we have done in this section.arrow_forwardCheck Your Understanding Is the equation v=atdimensionally consistent? One further point thin needs to be mentioned is the effect of the operations of calculus on dimensions. We have seen that dimensions obey the rules of algebra, just like units, but what happens when we take the derivative of one physical quantity with respect to another or integrate a physical quantity over another? The derivative of a function is just the slope of the line tangent to its graph and slopes are ratios, so for physical quantities vand t , we hive that the dimension of the derivative of vwith respect to us just the ratio of the dimension of v over that of t : [dvdt]=[vt] . Similarly, since integrals are just sums of products, the dimension of the integral of vwith respect to t is simply the dimension of vtimes the dimension of t : [vdt]=[v][t] . By the same reasoning, analogous rules hold for the units of physical quantities derived from other quantities by integration or differentiation.arrow_forward
- What is the area of a circle 3.102 cm in diameter?arrow_forwardWhen nonmetric units we used in the United Kingdom, a unit of mass called the pound-mass (lbm) was used, where 1 lbm = 0.4539 kg. (a) If there is an uncertainty of 0.0001 kg in the pound-mass unit, what is its percent uncertainty? (b) Based on that percent uncertainty, what mass in pound-mass has an uncertainty of 1 kg when converted to kilograms?arrow_forwardSuppose [V]=L3,[]=ML3, and [t]=T . (a) What is the dimension of dV? (b) What is the dimension of dV/dt? (c) What is the dimension of (dV/dt)?arrow_forward
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