Chapter_3_Solved_Problems_Physics_1301_Spring_2011

# Chapter_3_Solved_Problems_Physics_1301_Spring_2011 - Solved...

This preview shows pages 1–2. 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: Solved Problems for chapter 3 9. Picture the Problem : The base runner travels from C (home plate) to first base, then to A (second base), then to B (third base), and finally back to C (home plate). Strategy: The displacement vector ∆ r r is the same as the position vector r r if we take home plate to be the origin of our coordinate system (as it is drawn). The displacement vector for a runner who has just hit a double is drawn. Solution: 1. (a) Write the displacement vector from C to A in terms of its x and y components: ( 29 ( 29 ˆ ˆ 90 ft 90 ft = + r x y r 2. (b) Write the displacement vector from C to B in terms of its x and y components: ( 29 ( 29 ( 29 ˆ ˆ ˆ 0 ft 90 ft 90 ft = + = r x y y r 3. (c) For a home run the displacement is zero: ( 29 ( 29 ˆ ˆ 0 ft 0 ft = + r x y r Insight: The displacement is always zero when the object (or person) returns to its original position. 21. Picture the Problem : The vectors involved in the problem are depicted at right. The control tower (CT) is at the origin and north is up in the diagram. Strategy: Subtract vector B r from A r using the vector component method. Solution: 1. (a) A sketch of the vectors and their difference is shown at right. 2. (b) Subtract the x components: ( 29 ( 29 ( 29 ( 29 220 km cos 180 32 140 km cos 90 65 310 km x x x D A B =- =- ° -- ° = - 3. Subtract the y components: ( 29 ( 29 ( 29 ( 29 220 km sin 180 32 140 km sin 90 65 57 km y y y D A B =- =- ° -- ° = 4. Find the magnitude of D : ( 29 ( 29 2 2 2 2 5 310 km 57 km 320 km 3.2 10 m x y D D D = + = + = = × 5. Find the direction of D : 1 1 57 km tan tan 10 180 170 or 10 north of west...
View Full Document

## This note was uploaded on 01/05/2012 for the course CHEM 3321 taught by Professor Bean during the Spring '11 term at American Jewish University.

### Page1 / 4

Chapter_3_Solved_Problems_Physics_1301_Spring_2011 - Solved...

This preview shows document pages 1 - 2. Sign up to view the full document.

View Full Document
Ask a homework question - tutors are online