Chapter 1
1.14. With a wooden ruler you measure the length of a rectangular piece of sheet metal to
be 12 mm. You use a micrometer caliper to measure the width of the rectangle and obtain
the value 5.89 mm. Give the answers to the following questions to the correct number of
significant figures. a) What is the area of the rectangle? b) What is the ratio of the
rectangle’s width to length? c) What is the perimeter of the rectangle? d) What is the
difference between the length and width? e) What is the ration of the length to the width?
1.16. A rectangular piece of Al is 5.10
±
0.01 cm long and 1.90
±
0.01 cm wide. a) Find
the area of the rectangle and the uncertainty in the area. b) Verify that the fractional
uncertainty (relative uncertainty or percent error) in the area is equal to the sum of the
fractional uncertainties in the length and in the width.
1.32. For the vectors

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