Physics

Problem

a. Three dwarf planets have the following approximate masses and radii (expressed in Earth units): \nA:

M=0.60\,M_E

R=0.90\,R_E

\nB:

M=0.10\,M_E

R=0.50\,R_E

\nC:

M=0.01\,M_E

R=0.30\,R_E

. \nFor each planet, compute the value of

\dfrac{GM}{R}

in Earth units (take Earth’s value as 1). b. Arrange the planets in increasing order of gravitational binding energy per unit mass at the surface and justify your order in one sentence.

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