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A 4.0×1010kg asteroid is heading directly toward the center of the earth at a steady 32...

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Physics

A 4.0×1010kg asteroid is heading directly toward the center ofthe earth at a steady 32 km/s. To save the planet, astronauts strapa giant rocket to the asteroid perpendicular to its direction oftravel. The rocket generates 5.0×109N of thrust. The rocket isfired when the asteroid is 4.0×106kmaway from earth. You can ignorethe earth’s gravitational force on the asteroid and their rotationabout the sun.

What is the actual angle of deflection if the rocket fires atfull thrust for 300 s before running out of fuel?

Answer & Explanation Solved by verified expert
4.4 Ratings (744 Votes)
The asteroid is traveling at 32 kmsec To calculate how long it would take to reach the Earth if the mission fails simply divide the distance it must travel by the speed were neglecting the radius of the Earth in this calculation because it is much smaller than    See Answer
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