Chapter 3: Problem 6
What is the value and units of \(g_{c}\) in the Engineering English system on the Moon?
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Chapter 3: Problem 6
What is the value and units of \(g_{c}\) in the Engineering English system on the Moon?
These are the key concepts you need to understand to accurately answer the question.
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If power (measured in W, or watts) is defined as work (measured in \(\mathrm{J}\), or joules) performed per unit time (measured in s), work is defined as force (measured in \(\mathrm{N}\) or newtons) \(\times\) distance (measured in \(\mathrm{m}\) ), and speed is defined as distance per unit time (measured in \(\mathrm{m} / \mathrm{s}\) ), what is the power being exerted by a force of \(1000 . \mathrm{N}\) on a car traveling at \(30 \mathrm{~m} / \mathrm{s}\). (Assume force and speed are in the same direction, and treat all numbers as positive.) (Ans. \(\mathbf{3 . 0} \times \mathbf{1 0}^{\mathbf{4}} \mathbf{W}\).)
An electric cart can accelerate from exactly 0 to \(60 . \mathrm{mph}\) in \(15 \mathrm{~s}\). The Olympic champion sprinter Usain Bolt can run 100. \(\mathrm{m}\) in \(9.69 \mathrm{~s}\). Which would win a 100. \(\mathrm{m}\) race between this cart and the world champion sprinter? (Ans. The sprinter wins by \(16.7 \mathrm{~m}\).)
An early proposal for space travel involved putting astronauts into a large artillery shell and shooting the shell from a large cannon. \({ }^{2}\) Assume that the length of the cannon is \(30 . \mathrm{m}\) and the speed needed by the shell to achieve orbit is \(15,000 \mathrm{~m} / \mathrm{s}\). If the acceleration of the shell is constant and takes place only within the cannon, what is the acceleration of the shell in g's?
How many lbf does it take for a \(4.0 \times 10^{3} \mathrm{lbm}\) car to go from exactly 0 to 60. mph in 10. seconds? (Ans. \(\mathbf{1 . 1} \times \mathbf{1 0}^{\mathbf{3}}\) lbf.)
A car leaves a parking space from a standing stop to travel to a fast-food restaurant 950 . meters away. Along the journey, it has to stop after \(325 \mathrm{~m}\) at a stop sign. It has a maximum acceleration of \(3.0 \mathrm{~m} / \mathrm{s}^{2}\) and a maximum deceleration of \(-10 . \mathrm{m} / \mathrm{s}^{2}\). It never exceeds the legal speed limit of \(15 \mathrm{~m} / \mathrm{s}\). What is the least possible time it can take until the car comes to a full stop in front of the fastfood restaurant? (Ans. 70.s.)
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