6.7*10^-11N m^2 kg^-2*6*10^24kg *7.4*10^22/(3.8*10^8 m) ^2 how to solve this question?
Answers
gravitational force, F = 2.06 × 10^20 N
from equation, I understood question. that is ... you have to find gravitational force between earth and moon.
because mass of earth,M = 6 × 10²⁴ kg
mass of moon, m = 7.4 × 10²² kg
distance between moon and earth , r = 3.8 × 10^8 m
gravitational constant, G = 6.7 × 10^-11 Nm²/Kg²
from Newton's law of gravitation,
force between moon and earth, F = GMm/r²
= (6.7 × 10^-11 Nm²/Kg² × 6 × 10²⁴ kg × 7.4 × 10²²kg )/(3.8 × 10^8 m)²
= [(6.8 × 6 × 7.4)/(3.8)²] × 10^(-11 + 24 + 22 -16)
= 297.48/14.44 × 10^19
= 20.6 × 10^19 N
= 2.06 × 10^20 N
hence, force between moon and earth is 2.06 × 10^20 N
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