Question

The masses of the earth and moon
are 6 x 1024 kg and 7.4x1022 kg,
respectively. The distance between
them is 3.84 x 10 km. Calculate the
gravitational force of attraction
between the two?
Use G = 6.7 x 10-11 N m² kg?
Ans: 2 x 1020 N
40241​

Answer 1

Answer:

as force = G Mm/r²

f=  (6.7 x 10⁻¹¹ N m² kg*6 x 10²⁴ kg*7.4*10²²)/(384,000 km)²

f= 297.48*10³⁵/147456000000

2.01741*10²⁰

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Explanation:

Answer 2

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.