Learning Materials
Features
Discover
Chapter 1: Q6DQ (page 193)
In Example 5.5 (Section 5.1), how does the work done on the bucket by the tension in the cable compare with the work done on the cart by the tension in the cable?
The total work done on bucket is negative and work done on the cart is positive.
Over 30 million students worldwide already upgrade their learning with Vaia!
All the tools & learning materials you need for study success - in one app.
Get started for free
A certain fuel-efficient hybrid car gets gasoline mileage of 55.0 mpg (miles per gallon). (a) If you are driving this car in Europe and want to compare its mileage with that of other European cars, express this mileage in km/L (1L = liter). Use the conversion factors in Appendix E. (b) If this car’s gas tank holds 45 L, how many tanks of gas will you use to drive 1500 km?
An astronaut has left the International Space Station to test a new space scooter.
Her partner measures the following velocity changes, each taking place in a interval.
What are the magnitude, the algebraic sign, and the direction of the average acceleration in each interval?
Assume that the positive direction is to the right.
(a) At the beginning of the interval, the astronaut is moving toward the right along the x-axis at , and at the end of the interval she is moving toward the right at .
(b) At the beginning she is moving toward the left atrole="math" localid="1655276110547" , and at the end she is moving toward the left at .
(c) At the beginning she is moving toward the right at , and at the end she is moving toward the left atrole="math" localid="1655276636193" .
A Tennis Serve. In the fastest measured tennis serve, the ball left the racquet at . A served tennis ball is typically in contact with the racquet forand starts from rest. Assume constant acceleration. (a) What was the ball’s acceleration during this serve? (b) How far did the ball travel during the serve?
For a spherical planet with mass , volume , and radius ,derive an expression for the acceleration due to gravity at the planet’s surface, , in terms of the average density of the planet, , and the planet’s diameter, . The table gives the values of and for the eight major planets:
(a) Treat the planets as spheres. Your equation for as a function of
and
shows that if the average density of the planets is constant, a graph of
versus
will be well represented by a straight line. Graph
as a function of
for the eight major planets. What does the graph tell you about the variation in average density? (b) Calculate the average density for each major planet. List the planets in order of decreasing density, and give the calculated average density of each. (c) The earth is not a uniform sphere and has greater density near its center. It is reasonable to assume this might be true for the other planets. Discuss the effect this nonuniformity has on your analysis. (d) If Saturn had the same average density as the earth, what would be the value of
at Saturn’s surface?
Air traffic controllers give instructions called “vectors” to tell airline pilots in which direction they are to fly. If these are the only instructions given, is the name “vector” used correctly? Why or why not?
What do you think about this solution?
We value your feedback to improve our textbook solutions.
Explanations 
Textbooks 
Exams 
GCSE 
IGCSE 
AS 
A Level 
International A Level 
University Admissions Tests 
Flashcards 
Vaia AI 
Notes 
Study Plans 
Study Sets 
Find a job 
Find a degree 
Student Deals 
Magazine 
Mobile App