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In introductory physics laboratories, a typical Cavendish balance for measuring the gravitational constant G uses lead spheres with masses of 1.60 kg and 16.0 g whose centers are separated by about 4.00 cm. Calculate the gravitational force between these spheres, treating each as a particle located at the center of the sphere.

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Answer:


1.0672* 10^(-9)N

Step-by-step explanation:


G = Gravitational constant = 6.67 x 10⁻¹¹


F = Gravitational force between these spheres


m_(1) = mass of first sphere = 1.60 kg


m_(2) = mass of second sphere = 16 g = 0.016 kg


r = distance between the centers of the sphere = 4 cm = 0.04 m

Gravitational force between these spheres is given as


F = (Gm_(1)m_(2))/(r^(2))


F = ((6.67* 10^(-11))(1.60)(0.016))/(0.04^(2))


F = 1.0672* 10^(-9)N

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