The computational model below shows the total energy (Etotal) of a closed system, which is equal to the sum of the total kinetic energy (KEtotal) and the gravitational potential energy (U) between the masses m1 and m2 separated by distance r. Etotal=KEtotal+U, where U=−G(m1m2/r)
Which statement explains the reason why planets closer to the sun orbit faster than those that are farther away?
a) The value of KEtotal increases because U has a lesser negative value.
b) The value of G increases significantly the closer the planet is to the sun.
c) The value of Etotal increases significantly the closer the planet is to the sun.
d) The value of KEtotal increases because U has a larger negative value.
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