) 7 ) The mass of the earth 6 x 1024 kg . The distance between the earth and the sun is 1.5 x 10 " m . If the gravitational force between the two is 3.5 x 1022N , what is the mass of the sun ? G = 6.7 x 10 Nm kg 2. ( Ans - 1.96 x 100 kg)
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ANSWERGiven that,
Earth of mass M=6×10 ^24 kg
Gravitational force F=3.5×10 ^2 N
Distance between earth and sun r=1.5×10 ^11 m
Mass of the sun = m
of the sun = mNow,
The gravitational force is
gravitational force is F= GMm/r²
3.5×10 ^2
2 =
2 = (1.5×10 ^11 ) 2
11 ) 2 6.67×10 ^−11 ×6×10 ^24 ×m
24 ×m
24 ×m m= 6.67×10 ^−11 ×6×10 ^24
24 3.5×10 ^2 ×1.5×10 ^11 ×1.5×10 ^11
11
11
11 m=0.1967×10 ^11 kg
11 kg m=1.97×10 ^10 kg
10 kgHence, the mass of the sun is 1.97×10 ^10 Kg
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