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3 marksMechanical Properties of Materials

CAPE Physics Unit 1 · 2015 · Paper 2 · Question 1(b)(i)

Mars is considered an isolated sphere with a diameter of 6.79 × 10^6 m and a mass of 6.42 × 10^23 kg concentrated at its center. A rock of mass 1.40 kg rests on the surface of Mars. Assume the rock's dimensions are negligible compared to Mars' radius.

Determine the weight of the rock on Mars.

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Other parts of this question

  1. 1(a)State, in words, Newton's law of universal gravitation.[2 marks]
  2. 1(b)(ii)Show that the gravitational potential energy of the rock is -1.77 × 10^7 J.[2 marks]
  3. 1(c)(i)On the grid provided in Figure 1 (page 5), plot a graph of weight (W) versus 1/R^2 to reflect this variation.[4 marks]
  4. 1(c)(ii)Find the gradient of the graph and hence determine the mass of the satellite. (Mass of Earth, M_E = 5.6 × 10^24 kg)[4 marks]

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