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In the simulation, start with m1 = 200 kg and m, = 400 kg with their centers 8 meters apart. If you want to increase in the gravitational force between the two masses by the greatest amount, should you double the mass of m, or should you halve the distance sentences, explain which option would create the greater increase in the gravitational force and why. (2 points)

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Onyebuchinnajiidn

To double the gravitational force between the two blocks, double the mass of the blocks and keep the distance between constant.

The given parameters;

  • mass of the first block, m₁ = 200 kg
  • mass of the second block, = 400 kg
  • center mass of the blocks, r = 8 m

The gravitational force between the two mass is calculated by applying Newton's law of universal gravitation as follows;

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

The magnitude of the gravitational force increases with increase in the mass of the blocks and decreases with increase in the distance between the blocks.

To double the gravitational force between the blocks, double the mass of the blocks;

[tex]F = \frac{G(2m_1)(2m_2)}{r^2} \\\\F = 2 \times \frac{Gm_1 m_2}{r^2}[/tex]

Thus, to double the gravitational force between the two blocks, double the mass of the blocks and keep the distance between constant.

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