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W MATH180: HW08-.
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Energy of a Spacecraft
< 2 of 7
I Review I Constants
Very far from earth (at R = 00), a spacecraft has
run out of fuel and its kinetic energy is zero. If only
the gravitational force of the earth were to act on it
(i.e., neglect the forces from the sun and other solar
system objects), the spacecraft would eventually
crash into the earth. The mass of the earth is M.
and its radius is Re. Neglect air resistance
throughout this problem, since the spacecraft is
primarily moving through the near vacuum of
space.
Part A
Find the speed s. of the spacecraft when it crashes into the earth.
Express the speed in terms of Me, Re, and the universal gravitational constant G.
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>
Se =
Submit
Part B
Now find the spacecraft's speed when its distance from the center of the earth is R = a Re, where the coefficient a > 1.
Express the speed in terms of s, and a.
• View Available Hint(s)
Sa =
Submit
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