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Chapter 5: Problem 1
A typical textbook may have a mass of \(1 \mathrm{~kg}\), and thus a weight of about \(10 \mathrm{~N}\). How high could the textbook be lifted (against the force of gravity) by supplying one Joule of energy?
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A couch might take \(100 \mathrm{~N}\) to slide across a floor. If someone slides the couch 4 meters and does it in 8 seconds, how much power did they expend?
How many kcal will it take to heat 1 liter of water (e.g., in a pot) from room temperature \(\left(20^{\circ} \mathrm{C}\right)\) to boiling \(\left(100^{\circ} \mathrm{C}\right) ?\) How many Joules is this?
If a microwave operates at a power of \(1,600 \mathrm{~W}(1,600 \mathrm{~J} / \mathrm{s})\), how long will it take to heat \(0.25 \mathrm{~L}\) of water from room temperature to boiling (changing temperature by \(80^{\circ} \mathrm{C}\) ) if \(50 \%\) of the microwave energy is absorbed by the water?
If asked to compute the power associated with performing a pull-up, \({ }^{43}\) what specific information would you need to solve the problem (and what are the units of each)? Write out the math that would give the final answer.
If a typical metabolic intake is \(2,000 \mathrm{kcal}\) each day, approximately how much energy does this translate to for one day, in units of \(\mathrm{kWh}\) ? Compare this to a typical American household's electricity usage of \(30 \mathrm{kWh}\) in a day.
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