ch03-p019

ch03-p019 - 19. Many of the operations are done efficiently...

This preview shows page 1. Sign up to view the full content.

angle is –37.5°, which is to say that it is 37.5° clockwise from the + x axis. This is equivalent to 322.5° counterclockwise from + x . (c) We find ˆˆ ˆ ˆ [43.3 ( 48.3) 35.4] i [25 ( 12.9) ( 35.4)] j (127 i 2.60 j) m abc −+= −− + − −− +− = + G GG in unit-vector notation. The magnitude of this result is 22 2 | | (127 m) (2.6 m) 1.30 10 m. −+ = + × G (d) The angle between the vector described in part (c) and the + x axis is 1 tan (2.6 m/127 m) 1.2 ≈° . (e) Using unit-vector notation, G d is given by (4 0 . 4 i 4 7 . 4 j ) m dabc =+−=− + , which has a magnitude of ( 40.4 m) (47.4 m) 62 m. −+ = (f) The two possibilities presented by a simple calculation for the angle between the vector described in part (e) and the + x axis are 1 tan (47.4/( 40.4)) 50.0 −= ° , and 180 ( 50.0 ) 130 °+ − ° = ° . We choose the latter possibility as the correct one since it indicates that G d is in the second quadrant (indicated by the signs of its components). 19. Many of the operations are done efficiently on most modern graphical calculators
This is the end of the preview. Sign up to access the rest of the document.

This note was uploaded on 05/17/2011 for the course PHY 2049 taught by Professor Any during the Spring '08 term at University of Florida.

Ask a homework question - tutors are online