Exam 1: Introduction and Vectors

Exhibit 3-2 A child starts at one corner of a cubical jungle gym in a playground and climbs up to the diagonally opposite corner.The original corner is the coordinate origin,and the x,y and z axes are oriented along the jungle gym edges.The length of each side is 2 m. Use this exhibit to answer the following question(s). -Refer to Exhibit 3-2.What is the child's distance from her starting position?

The standard kilogram is a platinum-iridium cylinder 39 mm in height and 39 mm in diameter.What is the density of the material?

The vector $\overrightarrow { \mathrm { A } }$ has components +5 and +7 along the x and y axes respectively.Along a set of axes rotated 90 degrees counterclockwise relative to the original axes,the vector's components are

A vector $\overrightarrow { \mathrm { A } }$ is added to $\overrightarrow { \mathbf { B } } = 6 \hat { \mathbf { i } } - 8 \hat { \mathbf { j } }$ .The resultant vector is in the positive x direction and has a magnitude equal to $\overrightarrow { \mathrm { A } }$ .What is the magnitude of $\overrightarrow { \mathrm { A } }$ ?

A standard exam page is 8.5 inches by 11 inches.An exam that is 2.0 mm thick has a volume of

If vector $\overrightarrow { \mathrm { A } }$ is added to vector $\vec { B }$ ,the result is $- 9 \hat { \mathbf { i } } - 8 \hat { \mathbf { j } }$ .If $\vec { B }$ is subtracted from $\overrightarrow { \mathrm { C } }$ ,the result is $5 \tilde { \mathbf { i } } + 4 \hat { \mathbf { j } }$ .What is the direction of $\vec { B }$ (to the nearest degree)?

Exhibit 3-3 The vectors $\overrightarrow { \mathrm { A } }$ , $\vec { B }$ ,and $\overrightarrow { \mathrm { C } }$ are shown below. Use this exhibit to answer the following question(s). -Refer to Exhibit 3-3.Which diagram below correctly represents $\overrightarrow { \mathbf { A } } - \overrightarrow { \mathbf { B } } + 2 \overrightarrow { \mathbf { C } }$ ?

A problem may be solved more easily when alternative representations are used.The best strategy is to formulate representations in an order that assists in understanding the physical principles involved.Of the orders given below,the one that will work best most often is

A student decides to spend spring break by driving 50 miles due east,then 50 miles 30 degrees south of east,then 50 miles 30 degrees south of that direction,and to continue to drive 50 miles deviating by 30 degrees each time until he returns to his original position.How far will he drive,and how many vectors must he sum to calculate his displacement?