Assignment #2 Problems
For Exam 1, you will be expected to do problems of difficulty similar to those below without reference to the text or to any notes. Make sure that you can do this before you move on to the next assignment!
Graded Homework Problems
Do Assignment 2 at www.masteringphysics.com .
Mandatory Homework Problems
(1) Consider a three dimensional vector
. Explain how multiplying this vector by the number 9 will affect |
the x-component of the vector. |
|
the magnitude of the vector. |
|
the angle of the vector with respect to the x-axis. |
(2) If the component of vector
along the direction of vector 
is zero, what can you conclude about the two vectors?(3) As we have discussed in class, the distance, d, that an object released from rest will fall in time t is given by the expression: d = (1/2)gt2 , where g is the acceleration due to gravity. Suppose that we know that g = 9.80 ± 0.04 m/s2 and that t = 3.0 ± 0.1 s. Determine the distance, d, that the object fell, including the uncertainties in your result.
(4) Using the left and bottom sides of this sheet of paper as the y and x axes, respectively, decompose the vector drawn below into x and y components.
(5) Using the same axes as described in part (3) above, give the magnitude and direction of the vector drawn below.
(6) Under what circumstances would a nonzero vector lying in the xy plane have components that are equal in magnitude?
(7) A radar station locates a sinking ship at range 17.3 km and bearing 136° clockwise from north. From the same station, a rescue plane is at horizontal range 19.6 km, 153° clockwise from north, with elevation 2.20 km. (a) Write the position vector for the ship relative to the plane, letting
represent east, 
north, and 
up. (b) How far apart are the plane and ship?