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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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An elevator ascends from the ground floor to the 10 th floor, a height of \(41 \mathrm{m},\) in 35 s. If the mass of the elevator and passengers is \(840 \mathrm{kg},\) what's the power necessary to lift the elevator? (Your answer is greater than the actual power needed because elevators are counter weighted, thus reducing the work the motor needs to do.)
You're writing performance specifications for a new car model. The 1750 -kg car delivers energy to its drive wheels at the rate of \(35 \mathrm{kW} .\) Neglecting air resistance, what do you list for the greatest speed at which it can climb a \(4.5^{\circ}\) slope?
A watt-second is a unit of what quantity? Relate it to a more standard SI unit.
You want to raise a piano a given height using a ramp. With a fixed, nonzero coefficient of friction, will you have to do more work if the ramp is steeper or more gradual? Explain.
Spider silk is a remarkable elastic material. A particular strand has spring constant \(70 \mathrm{mN} / \mathrm{m},\) and it stretches \(9.6 \mathrm{cm}\) when a fly hits it. How much work did the fly's impact do on the silk strand?
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