Question

Example 10.1 The mass of the earth is
6 x 10 kg and that of the moon is
7.4 X 10 kg. If the distance between the
earth and the moon is 3.84x10 km,
calculate the force exerted by the earth on
the moon. (Take G= 6.7 x 10-N m kg 43​

Answer 1

Answer:

The gravitational force of attraction is 20.1×10^19 N

Explanation:

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= Gm1m2/r^2 ​ ​

F=  6.7×10 −11 ×6×10 24 ×7.4×10 22/(3.84×10 8 )^2

​ F=  297.48×10 35 /​14.8225×10^16

F=20.069×10^19

F=20.1×10^19 N

Hence, the gravitational force of attraction is 20.1×10^19 N

Answer 2

there are a few corrections in the question, It should be:

"The mass of the earth is 6×10^24 kg and that of the moon is 7.4×10^22 kg. If the distance between the earth and the moon is 3.84×10^5 km, calculate the force exerted by the earth on the moon. G=6.7×10^−11 N m^2 kg^−2"

Answer:

m1 = 6*10^24kg

m2 = 7.4×10^22 kg

Distance between the Earth and the Moon = 3.84×10^5 km = 3.84×10^8m

G = 6.7*10^-11 N m^2/kg^2

now, F = Gm1m2/r^2

now putting values

F = 6.7*10^-11*6*10^24*7.4*10^22/ (3.74 * 10^8)^2

F = 2.02 * 10*20 N