Chapter 9: Problem 11
How is it possible to have a collision between objects that don't ever touch? Give an example of such a collision.
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Chapter 9: Problem 11
How is it possible to have a collision between objects that don't ever touch? Give an example of such a collision.
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Model rocket motors are specified by giving the impulse they "provide, in \(\mathrm{N} \cdot \mathrm{s}\), over the entire time the rocket is firing. The table below shows the results of rocket-motor tests with different motors used to launch rockets of different masses. Determine two data-based quantities that, when plotted against each other, should give a straight line and whose slope should allow you to determine \(g .\) Plot the data, establish a best-fit line, and determine \(g\). Assume that the maximum height is much greater than the distance over which the rocket motor is firing, so you can neglect the latter. You're also neglecting air resistance- -but explain how that affects your experimentally determined value for \(g\). $$\begin{array}{|l|r|r|r|r|r|} \hline \text { Impulse, } J(\mathrm{N} \cdot \mathrm{s}) & 4.5 & 7.8 & 4.5 & 7.8 & 11 \\ \hline \begin{array}{l}\text { Rocket mass }(\mathrm{g}) \\ \text { (including motor) }\end{array} & 180 & 485 & 234 & 234 & 485 \\ \hline \begin{array}{l}\text { Maximum height } \\\\\text { achieved (m) }\end{array} & 22 & 13 & 19 & 51 & 23 \\\\\hline\end{array}$$
A popcorn kernel at rest in a hot pan bursts into two pieces, with masses \(91 \mathrm{mg}\) and \(64 \mathrm{mg} .\) The more massive piece moves horizontally at \(47 \mathrm{cm} / \mathrm{s}\). Describe the motion of the second piece.
You're an accident investigator at a scene where a drunk driver in a \(1600-\mathrm{kg}\) car has plowed into a \(1300-\mathrm{kg}\) parked car with its brake set. You measure skid marks showing that the combined wreckage moved 25 m before stopping, and you determine a frictional coefficient of \(0.77 .\) What do you report for the drunk driver's speed just before the collision?
Mass \(m,\) moving at speed \(2 v,\) approaches mass \(4 m,\) moving at speed \(v .\) The two collide elastically head-on. Find expressions for their subsequent speeds.
Roughly where is your center of mass when you're standing?
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