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A space probe measures the gravitational force on a 40 g sample of rock to be 0.064 N at the surface of a newly discovered moon. What is the gravitational field strength at the surface of this moon?

Options

  1. A1.6 N kg ⁻¹
  2. B0.0016 N kg ⁻¹
  3. C2.56 N kg ⁻¹
  4. D0.625 N kg ⁻¹

Correct answer

A. 1.6 N kg ⁻¹

Step-by-step solution

Given mass of the rock sample, m = 40 g = 0.04 kg Gravitational force on the sample, F = 0.064 N The gravitational field strength g is given by the force per unit mass: g = F m g = 0.064 0.04 g = 1.6 N kg ⁻¹ Answer: 1.6 N kg ⁻¹

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