# HW04Sol - directions We have that A B x = A x B x =-5.18m...

This preview shows pages 1–2. Sign up to view the full content.

Jim Guinn’s PHYS2211 Assignment #4 Solutions Due Monday, Feb. 1, 2010 1. A vector A has a magnitude of 20.0m at points at an angle of 15.0 o to the left of the y axis. What are its components? We see from the diagram that A x will be negative and A y will be positive, so A x = -A sin(15.0 o ) = -20.0m sin15.0 o = A x = -5.18m , and A y = A cos(15.0 o ) = 20.0m cos15.0 o = A y = 19.3m . 2. A vector B has components B x = 15.0m, B y = -5.00m . What are its magnitude and direction? We see from the diagram that B = √ [(15.0m) 2 + (5.00m) 2 ] = 15.8m , and θ = tan -1 (5.00m / 15.0m) = 18.4 o . B = 15.8m at an angle of 18.4 o down from the x-axis. 3. Given the vectors A and B from the previous two problems, what are A + B and A B ? The sum and difference can be given in terms of their components, or magnitude and

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: directions. We have that ( A + B ) x = A x + B x = -5.18m + 15.0m = 9.8m , and ( A + B ) y = A y + B y = 19.3m + -5.00m = 14.3m , and ( A- B ) x = A x- B x = -5.18m - 15.0m = -20.2m , and ( A- B ) y = A y- B y = 19.3m - -5.00m = 24.3m . So A + B = 9.8m i + 14.3m j and A – B = -20.2m i + 24.3m j . Or | A + B | = [(9.8m) 2 + (14.3m) 2 ] = 17.3m and A 15.0 o A x A y B x B x B θ | A- B | = [(20.2m) 2 + (24.3m) 2 ] = 31.6m , and θ 1 = tan-1 (14.3m / 9.8m) = 55.6 o , and θ 2 = tan-1 (24.3m / 20.2m) = 50.3 o . A + B = 17.3m at an angle of 55.6 o above the x-axis, and A – B = 31.6m at an angle of 50.3 o above the -x-axis....
View Full Document

## This note was uploaded on 09/25/2011 for the course PHYSICS 22 taught by Professor Lomant during the Spring '11 term at Georgia Perimeter.

### Page1 / 2

HW04Sol - directions We have that A B x = A x B x =-5.18m...

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

View Full Document
Ask a homework question - tutors are online