Physics: Principles and Problems

Chapter 6: Motion in Two Dimensions

Problem of the Week

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Celestial Impacts
If you have seen the movies Deep Impact or Armageddon, then you have seen the possible consequences that a large celestial body striking Earth can cause; in Deep Impact the body is a comet, in Armageddon an asteroid. Giant impacts have certainly occured, often with devastating results.
Computer simulation by Sandia scientists:

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Five seconds after a 1.4km wide asteroid crashes into the ocean off the coast.

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Eleven seconds after impact-- white areas are water vapor, orange areas are hot material (greater than 5000ºC)
The extinction of the dinosaurs is connected to 10 km+ body striking the Yucatan Peninsula.

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Planetary Defense
How do you deal with a large object travelling at 50 km/s that is on a collision course with Earth? Methods usually fall within one of two categories-- destruction or deflection. Destruction is breaking up the object into small pieces. However, some pieces may still strike Earth. Deflection means keeping the object intact but nudging it so that it misses Earth.
<a onClick="window.open('/olcweb/cgi/pluginpop.cgi?it=gif::::/sites/dl/free/0078458137/193800/POWproblem1.gif','popWin', 'width=NaN,height=NaN,resizable,scrollbars');" href="#"><img valign="absmiddle" height="16" width="16" border="0" src="/olcweb/styles/shared/linkicons/image.gif"> (0.0K)</a> Astronomers have spotted a large asteroid that will collide with the earth in three months. The plan is to deflect the asteroid so that it will miss the Earth. The first step in calculating a motion problem is to sketch the problem and establish a coordinate system. For this problem, sketch and define coordinate systems from three perspectives: coordinate axis at rest compared to Earth, coordinate axis at rest compared to the sun, and coordinate axis at rest compared to the asteroid. Include all appropriate velocity vectors.
 
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