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Two spheres, 1.00 kg each, whose centers are 2.00 m apart, would have what gravitational force between them? A. 3.14 X 10-17 N
B. 1.67 X 10-11 N
C. 8.17 X 10-6N
D. 5.78 X 10-6 N​

Respuesta :

Answer: B

Explanation: the teacher just told us the answer

The gravitational force between the two spheres is [tex]1.67 \times 10^{-11} \ N[/tex].

The given parameters;

  • mass of each sphere, m = 1.00 kg
  • distance between their center mass, r = 2 m

The gravitational force between the two spheres is determined by applying Newton's law of universal gravitation as shown below;

[tex]F = \frac{Gm_1 m_2 }{r^2} \\\\[/tex]

where;

  • G is universal gravitation constant = 6.67 x 10⁻¹¹ N/m

[tex]F = \frac{(6.67\times 10^{-11})\times (1\times 1)}{2^2} \\\\F = 1.67 \times 10^{-11} \ N[/tex]

Thus, the gravitational force between the two spheres is [tex]1.67 \times 10^{-11} \ N[/tex].

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