{[ promptMessage ]}

Bookmark it

{[ promptMessage ]}

Chapter 3 Hm. 2

# Chapter 3 Hm. 2 - Solutions to Homework#2 Chapter 3 12...

This preview shows pages 1–3. Sign up to view the full content.

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: Solutions to Homework #2 Chapter 3 12. Picture the Problem : The four possible locations of the treasure are labeled A , B , C , and D in the figure at right. The position vector for location A is also drawn. North is up and east is to the right. Strategy: Use the vector components to find the magnitude and direction of each vector. Solution: 1. Find the magnitude of A r : ( 29 ( 29 2 2 25.0 m 12.0 5.00 m 30.2 m A = + + = 2. Find the direction from north of A r : 1 25.0 m tan 55.8 west of north 12.0 5.00 m A θ- = = ° ÷ + 3. Find the magnitude of B r : ( 29 ( 29 2 2 25.0 m 12.0 5.00 m 26.0 m B = +- = 4. Find the direction from north of B r : 1 25.0 m tan 74.4 west of north 12.0 5.00 m B θ- = = ° ÷- 5. Find the magnitude of C r : ( 29 ( 29 2 2 25.0 m 12.0 5.00 m 30.2 m C = + + = 6. Find the direction from north of C r : 1 25.0 m tan 55.8 east of north 12.0 5.00 m C θ- = = ° ÷ + 7. Find the magnitude of D r : ( 29 ( 29 2 2 25.0 m 12.0 5.00 m 26.0 m D = +- = 8. Find the direction from north of D r : 1 25.0 m tan 74.4 east of north 12.0 5.00 m D θ- = = ° ÷- Insight: If you ever find a treasure map like this one, you’ll be glad you mastered vectors in physics! 18. Picture the Problem : The vectors involved in the problem are depicted at right. Strategy: Since A r points entirely in the x direction, and B r points entirely in the y direction, A r and B r are the x and y components of their sum + A B r r . Use the known lengths of + A B r r and A r to find B . Solution: 1. Set the length of + A B r r equal to 37 units: 2. Solve for B : Insight: Here the length of B r is determined by the lengths of the other two vectors because the directions of A r and B r are stipulated. Learning to manipulate vector components will be a useful skill when tackling many physics problems. 12.0 m 25.0 m 25.0 m 5.00 m A B C D palm tree A r θ A x y B r A r + A B r r −22 O 30 26. Picture the Problem : The vectors involved in the problem are depicted at right....
View Full Document

{[ snackBarMessage ]}

### Page1 / 5

Chapter 3 Hm. 2 - Solutions to Homework#2 Chapter 3 12...

This preview shows document pages 1 - 3. Sign up to view the full document.

View Full Document
Ask a homework question - tutors are online