BuyFindarrow_forward

College Physics

11th Edition
Raymond A. Serway + 1 other
ISBN: 9781305952300

Solutions

Chapter
Section
BuyFindarrow_forward

College Physics

11th Edition
Raymond A. Serway + 1 other
ISBN: 9781305952300
Textbook Problem

Two points are given in polar coordinates by (r, θ) = (2.00 m, 50.0°) and (r, θ) = (5.00 m, −50.0°), respectively. What is the distance between them?

To determine
The distance between two points.

Explanation

Given Info: The polar coordinate of a point is (r1,θ1)=(2.0m,50°) and the polar coordinate of the another point is (r2,θ2)=(5.0m,50°) .

Explanation:

To determine the x and y coordinate of the two points.

Formula for the Cartesian coordinate of the first point

x1=r1cosθ1

y1=r1sinθ1

Substitute 2m for r1 and 50° for θ1 , to calculate x1andy1 .

x1=(2m)(cos(50°))=1.29m

y1=(2m)(sin(50°))=1.53m

Formula for the Cartesian coordinate of the second point

x2=r2cosθ2

y2=r2sinθ2

Substitute 5m for r2 and (50°) for θ2 , to calculate x2andy2 .

x2=(5m)(cos(50°))=3.21m

y2=(5m)(sin(50°))=3.83m

Thus, the x and y coordinate of the two points are (x1,y1)=(1

Still sussing out bartleby?

Check out a sample textbook solution.

See a sample solution

The Solution to Your Study Problems

Bartleby provides explanations to thousands of textbook problems written by our experts, many with advanced degrees!

Get Started

Additional Science Solutions

Find more solutions based on key concepts

Show solutions add

Moderate alcohol use has been credited with providing possible health benefits. Construct an argument for why m...

Nutrition: Concepts and Controversies - Standalone book (MindTap Course List)

How do eating disorders affect health?

Understanding Nutrition (MindTap Course List)

The volume 0.250 L could also be expressed as mL.

Introductory Chemistry: A Foundation