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Gravitational fields

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Question 4

Two spherical asteroids, X X\,X and YYY, are separated by a center-to-center distance d d\,d and exert a gravitational force of attraction F1 F_1\,F1​ on one another.

The mass of asteroid X X\,X increases to a new value mX′ m_X'\,mX′​ such that mX<mX′<3mXm_X < m_X' < 3m_XmX​<mX′​<3mX​. At the same time, the distance between their centers is tripled.

Which statement correctly describes the range of the new gravitational force F2 F_2\,F2​ between the two asteroids?

A

F2>13F1F_2 > \frac{1}{3} F_1F2​>31​F1​

B

19F1<F2<13F1\frac{1}{9} F_1 < F_2 < \frac{1}{3} F_191​F1​<F2​<31​F1​

C

F2=19F1F_2 = \frac{1}{9} F_1F2​=91​F1​

D

0<F2<19F10 < F_2 < \frac{1}{9} F_10<F2​<91​F1​

Markscheme

Gravitational fields Questions

  1. A Level
  2. /Physics
  3. /Gravitational fields

31 exam-style questions on OCR A A Level Physics Gravitational fields, covering Point and spherical masses, Newton's law of gravitation, Planetary motion, and Gravitational potential and energy. Each one has a worked solution and a mark scheme showing where the marks go.

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