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Gravitational Fields · Paper 2 — Free Physics SL Practice Questions

1ChallengeSAQ-LGravitational force and field strength7 marksPaper 2~11 min
A spherical asteroid of radius R=3.2×103 mR = 3.2 \times 10^3\,\text{m} has uniform density ρ=2.7×103 kg m−3\rho = 2.7 \times 10^3\,\text{kg m}^{-3}. A small probe of mass m=1.2×103 kgm = 1.2 \times 10^3\,\text{kg} is placed at point PP, a distance d=1.5Rd = 1.5R from the centre of the asteroid. G=6.67×10−11 N m2 kg−2G = 6.67 \times 10^{-11}\,\text{N m}^2\,\text{kg}^{-2}
(a)
Calculate the gravitational field strength at point PP. [3 marks]
(b)
Calculate the gravitational force on the probe at point PP. [1 mark]
(c)
State how the gravitational field strength gg varies with distance rr from the centre for r<Rr < R inside the asteroid. [1 mark]
(d)
The probe is lowered from the surface of the asteroid to its centre. Deduce how the gravitational force on the probe changes during this descent, and identify the value of the force at the centre. [2 marks]
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