. You are instructed to walk 32.0 paces, then 23.5 fathoms, then 12.5 rods. What
ID: 2159330 • Letter: #
Question
. You are instructed to walk 32.0 paces, then 23.5 fathoms, then 12.5 rods. What is the total distanceyou will walk in SI units? Use the Length Units of the English System table in the slides for lecture 2
for your conversions.
2. What is the speed of light in furlongs per fortnight? The speed of light is 2.998108 m/s. You must
use the following conversions in you calculation:
1 furlong = 220 yds
1 mi = 5280 ft
1 fortnight = 14 days
You may use any additional conversions as needed to solve the problem.
3. Consider the three velocity vectors listed below:
~A
with a magnitude of 25.0 m/s in the direction 25 S of W
~B
with a magnitude of 18.5 m/s due N
~C
with a magnitude of 22.0 m/s in the direction 35 E of S
Draw a vector diagram showing all three vectors and write out each vector in unit vector notation.
4. What are the magnitudes and directions of each of the following position vectors?
~A
= 12:0 m ^i
+ 16:0 m ^j
~B
= 275 m ^i
?? 185 m ^j
~C
= ??3:40 m ^i
+ 2:60 m ^j
Explanation / Answer
32 paces =24.38m 23.5 fathoms =42.9768 m 12.5 rods =62.865 m total distance =130.2218m 2) speed of light in furlongs per fortnights =2.998108 * 0.00497/8.26719577 × 10-7 =1.8023 *10 ^ 4 3)A . -22.657 i -10.565 j B 18.5 j C 12.619 i -18.021 j 4) A. 20 , 53.13 degrees B 331.436,303.929 degrees C 4.28,127.405 degrees
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