Q7 · 2022 · Paper 2Simple familiar3 marks
QUESTION 7 (3 marks)
Two asteroids experience a gravitational force of 3.3 × 103 N between them. Their masses are 2.7 × 1017 kg and 6.1 × 1015 kg. Calculate the distance between the two asteroids. Show your working.
WORKED SOLUTION
3 marksQCAA guide · typeset solution
ANSWER
See worked solution below.
Worked solution
2
11
10
2.7 10
6.1 10
3
10
2
11
10
2.7 10
6.1
17
15
6.67
3.3
17
15
6.67
3.3
9
5.8
m
10
3
10
10
GMm
F
r
r
r =
−
×
×
×
×
×
×
−
×
×
×
×
×
=
×
=
=
×
Distance between asteroids = 5.8 × 109 m (to two significant
figures)
• recognises the scenario relates to Newton’s Law
of Universal Gravitation [1 mark]
• provides appropriate mathematical reasoning
[1 mark]
• calculates the distance between the asteroids
[1 mark]
One QCAA sample method typeset for web; criterion wording is adapted from the official marking guide.
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Compare your working with the guide above.