Energy of a Spacecraft 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. I Revie Part A Find the speed se of the spacecraft when it crashes into the earth. Express the speed in terms of Me, Re, and the universal gravitational constant G. > View Available Hint(s) Se = Submit Part B Now find the spacecraft's speed when its distance from the center of the earth is R = aRe, where the coef Express the speed in terms of se and a. > View Available Hint(s) ? Sa = Submit

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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.
• View Available Hint(s)
>
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
P Pearson
MacBook PrO
Transcribed Image Text:ail O Maps O Web design tutori. W MATH180: HW08-. Update 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. • View Available Hint(s) > 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 P Pearson MacBook PrO
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