Concept explainers
Using proportions A proportion is defined as an equality between two ratios; for instance,
Suppose that a small pizza costs a certain amount. How much should a larger pizza of the same thickness cost? If the cost depends on the amount of ingredients used, then the cost should increase in proportion to the pizza’s area and not in proportion to its diameter.
Let us rearrange Eq. (3.10) so the two variable quantities (cost and radius) are on the right side of the equation and the constants are on the left.
This equation should apply to any size pizza If r increases, the cost should Increase so that the ratio
For example, if a 3.5-in -radius pizza costs $4.00, then a 5.0-in radius pizza should cost
This process can be used for most equations relating two quantities that change while all other quantities remain constant.
The downward distance d that an object falls in a time interval t if starting at rest is
On the Moon, a rock falls 10.0 m in 3.50 s How far will the object fall in 5.00 s, assuming the same acceleration?
a. 14.3 m
b. 20.4 m
c. 4.90 m
d. 7.00 m
e. 100 m
Want to see the full answer?
Check out a sample textbook solutionChapter 3 Solutions
COLLEGE PHYSICS:VOL.1
Additional Science Textbook Solutions
University Physics Volume 2
Lecture- Tutorials for Introductory Astronomy
Modern Physics
University Physics with Modern Physics (14th Edition)
An Introduction to Thermal Physics
Tutorials in Introductory Physics
- Towns A and B in Figure P4.64 are 80.0 km apart. A couple arranges to drive from town A and meet a couple driving from town B at the lake, L. The two couples leave simultaneously and drive for 2.50 h in the directions shown. Car 1 has a speed of 90.0 km/h. If the cars arrive simultaneously at the lake, what is the speed of car 2?arrow_forwardElisha Graves Otis invented the elevator brake in the mid-1800s, making it possible to build tall skyscrapers with fast elevators. Todays skyscrapers are a large fraction of a mile tall; for example. Taipei 101 in Taiwan has 101 stories and is 515 m (0.32 miles) tall. The top speed of the elevator in the Taipei 101 tower is roughly three times greater than the ascent rate of a commercial jet airplane. The position and time data in the table are based on such an elevator. a. Working in SI units, make a position-versus-time graph for the elevator. (You may wish to use a spreadsheet program.) b. Describe the motion of the elevator in words. c. Find the highest speed of the elevator. When is the elevator going at this speed? d. What sort of considerations would the engineers need to make to ensure the comfort of the passengers?arrow_forwardReview. The graph in Figure P7.20 specifies a functional relationship between the two variables u and v. (a) Find abudv. (b) Find baudv. (c) Find abvdu. Figure P7.20arrow_forward
- V1 Refer to Figure the brakes are released. The coefficient of kinetic friction between the tires and the road is 0.7. A truck is traveling at 31 m/s when the brakes are fully applied causing the wheels to skid for 3 seconds and then What is the final speed of the truck in units of m/s ? O 10.40 O 7.40 O 13.40 O 4.40arrow_forwardBy hand solution needed Needed to be solved this question correctly in 20 minutes only Please solve hundred percent correct solution Please do ASAParrow_forward1arrow_forward
- P OR AND NOT OR señales de entrada: P = 0, Q = 0, R=0 Sarrow_forwardQ5. a) The graph shows the motion of an RC helicopter. What will be the average speed from point ‘A’ to point ‘G’. Between which two points (A-B or E-F) will the speed be more? Calculate.arrow_forwardA test car is driving toward a solid crash-test barrier with a speed of 45 mi/h. Two seconds prior to impact, the car begins to brake, but it is still moving when it hits the wall. After the collision with the wall, the car crumples somewhat and comes to a complete stop. In order to estimate the average force exerted by the wall on the car, what information would you need to collect? a. The (negative) acceleration of the car before it hits the wall and the distance the car travels while braking. b. The (negative) acceleration of the car before it hits the wall and the velocity of the car just before impact. c. The velocity of the car just before impact and the duration of the collision with the wall. d. The duration of the collision with the wall and the distance the car travels while braking.arrow_forward
- Physics for Scientists and Engineers: Foundations...PhysicsISBN:9781133939146Author:Katz, Debora M.Publisher:Cengage LearningPhysics for Scientists and Engineers, Technology ...PhysicsISBN:9781305116399Author:Raymond A. Serway, John W. JewettPublisher:Cengage Learning
- University Physics Volume 1PhysicsISBN:9781938168277Author:William Moebs, Samuel J. Ling, Jeff SannyPublisher:OpenStax - Rice UniversityPrinciples of Physics: A Calculus-Based TextPhysicsISBN:9781133104261Author:Raymond A. Serway, John W. JewettPublisher:Cengage LearningPhysics for Scientists and Engineers with Modern ...PhysicsISBN:9781337553292Author:Raymond A. Serway, John W. JewettPublisher:Cengage Learning