(6) The table 1 below shows how the magnitude of the gravitational force, F, ona mass of 1 kg varies with distancæ, r, from the entre of a planet. Force F/N Distance r/Mm 1.8 1.3 1.0 0.79 40 2.6 2.0 2.5 3.0 3.5 40 4.5 Table 1 (a) Plot a suitable straight line graph to show that the gravitational force Fis inasely propor- tional to r2. (b) The value of g on the planet's surface (ps) is 5 N kg!. Use your graph to estimate the radius of the planet.

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(6) The table 1 below shows how the magnitude of the gravitational force, F, on amass of 1 kg varies
with distance, r, from the centre of a planet.
Force F/N
40 2.6 1.8 1.3
3.0 3.5 40
1.0 0.79
Distance r/Mm 2.0 2.5
45
Table 1
(a) Plot a suitable straight line graph to show that the gravitational fore Fis innersely propor-
tional to r?.
(b) The value of g on the planet's surfacæ (ps) is 5 N kg. Use your graph to estimate the
radius of the planet.
Transcribed Image Text:(6) The table 1 below shows how the magnitude of the gravitational force, F, on amass of 1 kg varies with distance, r, from the centre of a planet. Force F/N 40 2.6 1.8 1.3 3.0 3.5 40 1.0 0.79 Distance r/Mm 2.0 2.5 45 Table 1 (a) Plot a suitable straight line graph to show that the gravitational fore Fis innersely propor- tional to r?. (b) The value of g on the planet's surfacæ (ps) is 5 N kg. Use your graph to estimate the radius of the planet.
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