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Chapter 6: Problem 34
A sprinter completes a 100 -m dash in 10.6 s, doing \(22.4 \mathrm{kJ}\) of work. What's her average power output?
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Does your car's kinetic energy change if you drive at constant speed for 1 hour?
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 1400 -kg car ascends a mountain road at a steady \(60 \mathrm{km} / \mathrm{h},\) against a \(450-\mathrm{N}\) force of air resistance. If the engine supplies energy to the drive wheels at the rate of \(38 \mathrm{kW}\), what's the slope angle of the road?
A force given by \(F=b / \sqrt{x}\) acts in the \(x\) -direction, where \(b\) is a constant with the units \(\mathrm{N} \cdot \mathrm{m}^{1 / 2} .\) Show that even though the force becomes arbitrarily large as \(x\) approaches zero, the work done in moving from \(x_{1}\) to \(x_{2}\) remains finite even as \(x_{1}\) approaches zero. Find an expression for that work in the limit \(x_{1} \rightarrow 0\)
A certain amount of work is required to stretch spring A a certain distance. Twice as much work is required to stretch spring B half that distance. Compare the spring constants of the two.
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