Learning Materials
Features
Discover
Chapter 1: Problem 42
You step on your brand-new digital bathroom scale, and it reads 125.4 pounds. What is your mass in kilograms?
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
The Earth's orbit has a radius of \(1.5 \cdot 10^{11} \mathrm{~m},\) and that of Mercury has a radius of \(4.6 \cdot 10^{10} \mathrm{~m} .\) Consider these orbits to be perfect circles (though in reality they are ellipses with slight eccentricity). Write down the direction and length of a vector from Earth to Mercury (take the direction from Earth to Sun to be \(0^{\circ}\) ) when Mercury is at the maximum angular separation in the sky relative to the Sun.
Write this quantity in scientific notation: one tenmillionth of a centimeter
How many significant figures are in each of the following numbers? a) 4.01 c) 4 e) 0.00001 g) \(7.01 \cdot 3.1415\) b) 4.010 d) 2.00001 f) \(2.1-1.10042\)
Find the magnitude and direction of (a) \(9 \vec{B}-3 \vec{A}\) and (b) \(-5 \vec{A}+8 \vec{B},\) where \(\vec{A}=(23.0,59.0), \vec{B}=(90.0,-150.0)\)
Estimate the product of 4,308,229 and 44 to one significant figure (show your work and do not use a calculator), and express the result in standard scientific notation.
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