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Question: Two objects with equal masses of 1 kg each are separated by a distance of 1 m. The grantational form...

Two objects with equal masses of 1 kg each are separated by a distance of 1 m. The grantational forme between the objects is

Answer

6.675 x 10^{-11} newton

Explanation

Solution

The gravitational force between two objects is given by Newton's Law of Universal Gravitation:

F=Gm1m2r2F = G \frac{m_1 m_2}{r^2}

Where:

  • FF is the gravitational force
  • GG is the universal gravitational constant (6.675×1011 N m2/kg26.675 \times 10^{-11} \text{ N m}^2/\text{kg}^2)
  • m1m_1 is the mass of the first object
  • m2m_2 is the mass of the second object
  • rr is the distance between the centers of the two objects

Given values from the question:

  • m1=1 kgm_1 = 1 \text{ kg}
  • m2=1 kgm_2 = 1 \text{ kg}
  • r=1 mr = 1 \text{ m}

Substitute these values into the formula:

F=(6.675×1011 N m2/kg2)(1 kg)(1 kg)(1 m)2F = (6.675 \times 10^{-11} \text{ N m}^2/\text{kg}^2) \frac{(1 \text{ kg})(1 \text{ kg})}{(1 \text{ m})^2}

F=(6.675×1011)11 NF = (6.675 \times 10^{-11}) \frac{1}{1} \text{ N}

F=6.675×1011 NF = 6.675 \times 10^{-11} \text{ N}

The gravitational force between the objects is 6.675×10116.675 \times 10^{-11} newton.