The mass of the earth is 6×1022 kg and that of the moon is 7.4×1022 kg. If the distance between the earth and the moon is 3.84×105 km, calculate the force exerted by the earth on the moon. G=6.7×10−11 N m2 kg−2
Answers
Answer:
ANSWER
Given that,
Mass of the Earth m
1
=6×10
24
Kg
Mass of the Moon m
2
=7.4×10
22
kg
Distance between the Earth and the Moon d=3.84×10
5
km=3.84×10
8
m
Gravitational Constant G=6.7×10
−11
Nm
2
/kg
2
Now, by using Newton’s law of gravitation
F=
r
2
Gm
1
m
2
F=
(3.84×10
8
)
2
6.7×10
−11
×6×10
24
×7.4×10
22
F=
14.8225×10
16
297.48×10
35
F=20.069×10
19
F=20.1×10
19
N
Hence, the gravitational force of attraction is 20.1×10
19
N
Answer:
Given that,
Mass of the Earth m1 =6×10²⁴ kg
Mass of the Moon m2 =7.4×10²² kg
Distance between the Earth and the Moon d=3.84×10⁵
km=3.84×10⁸ m
Gravitational Constant G=6.7×10-¹² Nm²/kg²
Now, by using Newton’s law of gravitation
F= Gm1 m2/r²
F= 6.7 × 10-¹¹× 6×10×24×7.4×10²²/ (3.84×10⁸)²
F= 297.48×10³⁵/14.8225×10¹⁶
F=20.069×10¹⁹
F=20.1×10¹⁹N
Hence, the gravitational force of attraction is 20.1×10¹⁹ N