The masses of the earth and moon are 5.98 × 10 24 and 7.35 × 10 22 kg, respectiv
ID: 250232 • Letter: T
Question
The masses of the earth and moon are 5.98 × 1024 and 7.35 × 1022 kg, respectively. Identical amounts of charge are placed on each body, such that the net force (gravitational plus electrical) on each is zero. What is the magnitude of the charge placed on each body? The masses of the earth and moon are 5.98 × 1024 and 7.35 × 1022 kg, respectively. Identical amounts of charge are placed on each body, such that the net force (gravitational plus electrical) on each is zero. What is the magnitude of the charge placed on each body?Explanation / Answer
q = charge on each
M = mass of earth = 5.98 × 1024 kg
m = mass of moon = 7.35 × 1022 kg
r = distance between earth and moon
Gravitational force = Electrical force
GMm/r2 = k q2/r2
(6.67 x 10-11) (5.98 × 1024 ) (7.35 × 1022 ) = (9 x 109) q2
q = 5.7 x 1013 C
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