medium · Enhanced ACT science

A researcher studies the gravitational force (F) between two masses as distance (r) changes:

| Distance (cm) | Force (N) |

| :--- | :--- |

| 10 | 100 |

| 20 | 25 |

| 40 | 6.25 |

What is the likely force at a distance of 50 cm?

  1. The force will be 0.0 N because at 50 cm the separation grows effectively too large to register.
  2. The force will be 3.125 N because 50 cm is simply one further 10 cm step past the last data point.
  3. The force will be 4.0 N because force is inversely proportional to the square of the distance.
  4. The force will be 12.5 N because force varies inversely with distance itself (1/r).

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