Chapter 3: Q. 8 (page 77)
Suppose two vectors have unequal magnitudes. Can their sum be zero? Explain.
No, their sum cannot be zero.
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| The treasure map in FIGURE P3.40 gives the following directions to the buried treasure: "Start at the old oak tree, walk due north for 500 paces, then due east for 100 paces. Dig." But when you arrive, you find an angry dragon just north of the tree. To avoid the dragon, you set off along the yellow brick road at an angle east of north. After walking 300 paces you see an opening through the woods. Which direction should you go, and how far, to reach the treasure?
The treasure map in FIGURE P3.40 gives the following directions to the buried treasure: "Start at the old oak tree, walk due north for 500 paces, then due east for 100 paces. Dig." But when you arrive, you find an angry dragon just north of the tree. To avoid the dragon, you set off along the yellow brick road at an angle east of north. After walking 300 paces you see an opening through the woods. Which direction should you go, and how far, to reach the treasure?
If Can For each, show how or explain why not
A velocity vector 40°below the positive x-axis has a y-component of -10 m/s. What is the value of its x-component?
Dee is on a swing in the playground. The chains are 2.5 m long, and the tension in each chain is 450 N when Dee is 55 cm above the lowest point of her swing. Tension is a vector directed along the chain, measured in newtons, abbreviated N. What are the horizontal and vertical components of the tension at this point in the swing?
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