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Chapter 1: Q6. (page 17)
Express the sine ofwith the correct number of significant figures.
The required number in significant figures is .
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A watch manufacturer claims that its watches gain or lose no more than 8 seconds in a year. How accurate are these watches, expressed as a percentage?
Jim stands beside a river and wonders how wide it is. He spots a large rock on the bank directly across from him. He then walks 65 strides upstream and judges that the angle between him and the rock, which he can still see, is atdownstream (See below figure). Jim measures his stride to be about 0.8 m long. Estimate the width of the river.
What is the percent uncertainty in the measurement?
You are in a hot air balloon, 200 m above the flat Texas plains. You look out toward the horizon. How far can you see; i.e., how far is your horizon? The earth鈥檚 radius is about 6,400 km.
Recent findings in astrophysics suggest that the observable universe can be modeled as a sphere of radiuswith an average total mass density of about. Only about 4% of total mass is due to 鈥渙rdinary鈥� matter (such as protons, neutrons, and electrons). Estimate how much ordinary matter (in kg) there is in the observable universe. (For the light- year, see the Problem19.)
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