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03/11/2021 4:51 pm
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The mass of a planet is 6 x 1024 kg and its diameter is 12.8 x 103. If the value of gravitational constant be 6.7 x 10-11 Nm2/kg2, calculate the value of acceleration due to gravity on the surface of the planet. What planet could this be?
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03/11/2021 4:58 pm
Acceleration due to gravity,
g = \(G \times \frac{M}{R^2}\)
Mass, M = 6 x 1024 kg
Diameter = 12.8 x 103 km = 12.8 x 106 m
Radius, R = \(\frac{12.8 \times 10^6}{2}\) = 6.4 x 106 m
Gravitational constant, G = 6.7 x 10-11 Nm2/kg2
g = 6.7 x 10-11 x \(\frac{6 \times 10^{24}}{(6.4 \times 10^6)^2}\)
g = \(\frac{6.7 \times 60}{6.4 \times 6.4}\)
g = 9.8 m/s2
As the value of g = 9.8 m/s2, the planet could be Earth.