Posted by **sam** on Sunday, December 23, 2012 at 2:35pm.

Consider the same asteroid initially in the asteroid belt at a distance 3 AU from the Sun, and 2 AU from Earth, which collides with Earth. As it falls towards Earth, it acquires kinetic energy (neglect its initial motion) both by being accelerated towards the Sun and towards the Earth. Find the change in its potential energy due to the Sun’s gravitational force, in megatons. Round to two significant digits.

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