An object of mass 0.50 kg weighs 2.0 N when it is 1.0 × 106 m above the surface of Planet X. The radius of the planet is 4.0 × 106 m. What free-fall acceleration will the 0.50-kg object experience when at the surface of Planet X?
A) 2.0 m/s2
B) 6.3 m/s2
C) 4.0 m/s2
D) 4.8 m/s2
Gravitational potential, g' = g/(1 + (h/R))^2
g' = 2/0.5 = 4 m/s^2
h = 1 x 10^6 m
R = 4 x 10^6 m
Substituting the values,
4 = g/(1 + (1/4))^2
g = 6.3 m/s^2
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