1. The distance between a 40-kg person and a 30-kg person is 2 m. What is the magnitude of the gravitational force each exerts on the other. Universal constant = 6.67 x 10-11 N m2 / kg2
Known :
m1 = 40 kg, m2 = 30 kg, r = 2 m, G = 6.67 x 10-11 N m2 / kg2
Wanted : the magnitude of gravitational force (F) ?
Solution :
2. The distance between Earth and Moon (r) is 3.84 x 108 m. What is the magnitude of gravitational force each exerts on the other?
Known :
Earth’s mass (mE) = 5.97 x 1024 kg
Moon’s mass (mM) = 7.35 x 1022 kg
The distance between Earth’s center and the Moon’s center (r) = 3.84 x 108 m
Universal constant (G) = 6.67 x 10-11 N m2 / kg2
Wanted: The magnitude of gravitational force (F)
Solution :
3. What is the distance from the Earth, the magnitude of the gravitational force of the earth and the moon is zero?
Known :
Earth’s mass = 5.97 x 1024 kg
Moon’s mass = 7.35 x 1022 kg
The distance between Earth’s center and Moon’s center (r) = 3.84 x 108 m.
Universal constant (G) = 6.67 x 10-11 N m2 / kg2
Wanted: distance from Earth
Solution :
Net gravitational force is zero.
Use quadratic formula :
A = – 6.35
B = – 7.68 x 108
C = 87.76 x 10-14
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