# Force of gravity and gravitational field – problems and solutions

1. Two objects m1 and m2 each with a mass of 6 kg and 9 kg separated by a distance of 5 cm. Object m3 = 1 kg is placed between the two. If the gravitational force experienced by m3 = 0 then the distance m3 from m1 is … Gravitational force = 0 if F13 = F23. a = -1, b = -20, c = 50

Use quadratic formula:  The results cannot be negative. So x = r13 = distance m3 and m1 = 2.25 cm.

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2. Two objects A and B are 60 cm apart. Mass A is 24 kg and mass B is 10 kg. Where is the location of a point that has a strong gravitational field equal to zero? Gravitational field = 0 if gA = gB. a = 7

b = -1440

c = 43200

Use quadratic formula: x = rA = 169.25 cm or

x = rA = 36.46 cm

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