The mass of sun is 2 × 10^30 kg and the mass of earth is 6 × 10^24 kg. If the average distance between the sun and the earth be 1.5 × 10^8 km, calculate the force of gravitation between them.
Answers
Answer:
Gravitational force=gravitational constant*mass of object1*mass of object2/ distance between two objects power 2
F= gravitational force between two objects ()
G = gravitational constant ()= 6.67*10 power -11 Nmetre power 2/kg power 2
m1 = mass of the first object (kg)
m2 = mass of the second object (kg)
r = distance between objects (metre).
Here F= 6.67*10 power -11*2*10 power 30*6*10 power 24/ 1.5*10 power 8*1000*1.5*10 power 8*1000= 35.57*10 power 21 Newton(N).
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Solution :-
M¹ = Mass Of The Sun = 2 × 10³ⁿ kg
M² = Mass Of The Earth = 6 x 10²⁴ kg
Distance between the sun and the earth = r = 1.5 × 10^8 km = 1.5 × 10¹¹ m
Gravitational force between the sun and the earth = F
F = (G × M¹ × M²) / r²
= (6.7 x 10-¹¹) (2 × 10^30 x 6 x 10²⁴) / (1.5 × 10¹¹)²
= 3.57 × 10²² N