Question

The mass of the earth is 6×10^24 kg. The distance between the earth and the Sun is 1.5×10^11 m. If the gravitational force between the two is 3.5×10^22 N, what is the mass of the Sun?


plz explain it!!!

Answer 1

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Answer 2

Firstly, the formula, which will be used here, will be:

F=GMm/r^2

Where,

G=6.674×10^-11 Nm^kg^-2

M=mass of sun (say)

m=mass of earth=6×10^24 kg

r=distance between them=1.5×10^11

F=gravitational force between the two=3.5×10^22 N

therefore,

F=GMm/r^2

3.5×10^22 = 6.674×10^-11 × M × 6×10^24 / (3.5×10^22)^2

M = 3.5×10^22 × 3.5 × 3.5 × 10^44 / 6.674 × 6 × 10^13

M = 42.875 ×10^66 / 40.044 × 10^13

M = 1.07 × 10^53 kg .....(approx.)