Question

the mass of sun is 2 × 10 power 30 kg and the mass of the earth is 6 ×10 power 24 kg is the average distance between the sun and the earth is 1.5 into 10 power 8 km calculate the force of gravitation between them

Answer 1

F = G m1 m2 / r^2

given ,

Mass of sun (m1)= 2* 10^30 kg

mass of earth (m2) = 6*10^24 kg

r= 1.5 *10^8 km

G is the Universal Gravitational Constant = 6.674*10^−11 N-m2/kg2

F= 6.67* 10 ^-11 * 2* 10^30 *6*10^24 / (1.5 *10^8)^2

   = 80. 04* 10^ 43 / 2.25* 10^16

    =35.5 * 10^27 N

Answer 2

Mass of sun=2×10^30 kg = M                       mass of earth = 6×10^24 kg = m                 radius of earth=1.5×10^11 m  = R              force of gravitation between sun and earth :                                                      f = GMm÷R^2                                         f =6.67×10^-11 × 2× 10^30 ×6×10^24÷((1.5×10^11)^2)                         f =35.5×10^43-22                                        f =35.5×10^21  N