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Chapter 6: Problem 1
Give two examples of situations in which you might think you're doing work but in which, in the technical sense, you do no work.
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How much work does a force \(\vec{F}=67 \hat{\imath}+23 \hat{\jmath}+55 \hat{k} \mathrm{N}\) do as it acts on a body moving in a straight line from \(\vec{r}_{1}=16 \hat{\imath}+31 \hat{\jmath} \mathrm{m}\) to \(\vec{r}_{2}=21 \hat{\imath}+10 \hat{\jmath}+14 \hat{k} \mathrm{m} ?\)
A \(60-\mathrm{kg}\) skateboarder comes over the top of a hill at \(5.0 \mathrm{m} / \mathrm{s}\) and reaches \(10 \mathrm{m} / \mathrm{s}\) at the bottom. Find the total work done on the skateboarder between the top and bottom of the hill.
In midday sunshine, solar energy strikes Earth at the rate of about \(1 \mathrm{kW} / \mathrm{m}^{2} .\) How long would it take a perfectly efficient solar collector of \(15-\mathrm{m}^{2}\) area to collect \(40 \mathrm{kW}\). hof energy? (Note: This is roughly the energy content of a gallon of gasoline.)
At what speed must a 950 -kg subcompact car be moving to have the same kinetic energy as a \(3.2 \times 10^{4}-\mathrm{kg}\) truck going \(20 \mathrm{km} / \mathrm{h} ?\)
A pendulum bob swings back and forth on the end of a string, describing a circular arc. Does the tension force in the string do any work?
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