2. Two spherical objects with radii 1 m have masses of 1.5 kg and 8.5 kg. They are separated by a

distance of 18 m. Find the gravitational attraction between them.

r= 1 m

r= 1 m

18 m

Mass = 1.5 kg

Mass = 8.5 kg

Respuesta :

This question involves the concepts of Newton's Law of Gravitation and Gravitational Force.

The Gravitational Force between the spheres is "8.5 x 10⁻¹⁰ N".

According to Newton's Law of Gravitation:

[tex]F=\frac{Gm_1m_2}{r^2}[/tex]

where,

  • F = Gravitational Force between spheres = ?
  • G = Universal Gravitational Constant = 6.67 x 10⁻¹¹ N.m²/kg²
  • m₁ = mass of first sphere = 1.5 kg
  • m₂ = mass of second sphere = 8.5 kg
  • r = distance between both spheres = 1 m

Therefore,

[tex]F = \frac{(6.67\ x\ 10^{-11}\ N.m^2/kg^2)(1.5\ kg)(8.5\ kg)}{(1\ m)^2}[/tex]

F = 8.5 x 10⁻¹⁰ N

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