Example 10.1 The mass of the earth is
6 X 10²4 kg and that of the moon is
7.4 x 1022 kg. If the distance between the
earth and the moon is 3.84x105 km,
calculate the force exerted by the earth on
the moon. (Take G=6.7 x 10-11 N m² kg-2)
Answers
Answer:
2.01 N
Explanation:
Mass of the Earth = M = 6×10∧24 kg
Mass of the Moon = m =7.4×10∧22 kg
Distance between the earth and the moon is
r = 3.84×10∧5 km
= 3.84×10∧5×10∧3 m
= 3.84×10∧8 m
The value of G = 6.67×10∧-11 Nm2/kg -2
The force exerted by the earth on the moon is
F = GmM÷ R2
= 6.7×10∧11×6.4×10∧24×7.4×10∧22 ÷ (3.84×10∧8)∧2
= 2.01×10∧20 N
Answer:
20.2 × 10¹⁹ N
Explanation:
Given :
Mass of earth = 6 × 10²⁴ kg
Mass of moon = 7.4 × 10²² kg
Distance between them = 3.84 × 10⁵ km = 3.84 × 10⁸ m
We have value of G = 6.7 × 10⁻¹¹ N m² kg⁻²
We have to find force :
We have :
F = G m₁ m₂ / r²
F = ( 6.7 × 10⁻¹¹ ) ( 6 × 10²⁴ ) ( 7.4 × 10²² ) / ( 3.84 × 10⁸ )² N
F = 20.2 × 10¹⁹ N
Hence force exerted by the earth on the moon is 20.2 × 10¹⁹ N.