An object of mass 0.50 kg is transported to the surface of Planet X where the object's weight is measured to be 20 N. The radius of the planet is 4.0 ' 106 m. What free fall accerleration will the 0.5 kg object experience when at the surface of Planet X. What is the mass of Planet X? (G = 6.67 ' 10-11 N * m2/kg2)

Question

Physics

Johnathan Rowe

5 February, 10:50

An object of mass 0.50 kg is transported to the surface of Planet X where the object's weight is measured to be 20 N. The radius of the planet is 4.0 ' 106 m. What free fall accerleration will the 0.5 kg object experience when at the surface of Planet X. What is the mass of Planet X? (G = 6.67 ' 10-11 N * m2/kg2)

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Monica Jacobs · Answer 1

The free fall acceleration is:

F = ma

20 N = (0.50 kg) a

a = 40 m/s²

The mass of Planet X is:

F = GMm / r²

20 N = (6.67*10⁻¹¹ Nm²/kg²) M (0.50 kg) / (4.0*10⁶ m) ²

M = 9.6*10²⁴ kg