the mass of sun 2*10^30kg and the mass of the earth is 6.4 *10^6 kg. If the average distance between the sun and the earth be 1.5"10^8 km calculate force of gravitation between them.
Answers
Answer:
236.329 ms⁻²
Step-by-step explanation:
Given: (M₁) mass of the sun = 2×10³⁰ kg
(M₂) mass of the earth = 6.4 ₓ 10⁶ kg
r = 1.5 ₓ 10⁸ km
find : the force of gravitation
sol: Acc . To . formula
F = G M₁ × M₂ ÷ r²
= 6.67 × 10⁻¹¹ × 2 × 10³⁰ × 6.4 × 10⁶ / (1.5 × 10⁸)²
= 6.67 × 2 × 10³⁰⁻¹¹ × 6.4 × 10⁶ / 2.25 × 10¹⁶
= 6.67 × 2 × 10¹⁹ × 6.4 × 10⁶⁻¹⁶ / 2.25
= 6.67 × 2 × 10¹⁹ 6.4 × 10⁻¹⁰ / 2.25
= 6.67 × 2 × 10¹⁹⁻¹⁰ × 6.4 / 2.25
= 6.67 × 2 × 10⁹ × 6.4 / 2.25
= 85.376 × 10⁹ / 2.25
= 236.329 ms⁻²