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a. FM GmMmr2
= 6.67 x 10-11N.m2kg27 .35 x 1022 kg 70 kg 3.78 x 108 m2
= 2.40 x 10-3 N
b. FE GmEmr2
= 6.67 x 10-11 N.m2kg 25 .97 x 1034 kg (70kg) 6.38 x 106 m2
=685 N
FMFE 2.40 x 10-3N685 N= 0.0004%
a. FM GmMmr2
= 6.67 x 10-11N.m2kg27 .35 x 1022 kg 70 kg 3.78 x 108 m2
= 2.40 x 10-3 N
b. FE GmEmr2
= 6.67 x 10-11 N.m2kg 25 .97 x 1034 kg (70kg) 6.38 x 106 m2
=685 N
FMFE 2.40 x 10-3N685 N= 0.0004%
(a) The force exerted by the moon on the human will be 2.40*10^-3 N
(b) The force exerted by the moon is lesser then earth of about 0.0004%
What is gravitational force?
The gravitational force of attraction experienced by one body due to the other body is given by the Newton’s law of Gravitation. The newton’s law of Gravitation states that the force experienced by the bodies is directly proportional to the product of the masses of the two bodies and inversely proportional to the square of distance between the bodies.
The formula for the force on human by moon is given as
[tex]F_m =\dfrac{GMm}{r^2}[/tex]
[tex]F_m=\dfrac{6.67\times 10^10^{-11}\times 27.35\times 10^{22} \times 70}{3.78\times 10^8}[/tex]
[tex]F_m=2.40\times 10^{-3}\ N[/tex]= 2.40 x 10-3 N
b. The formula for the force on human by earth is given as
[tex]F_E=\dfrac{6.67\times 10^{-11}\times 25.97\times 10^{34}\times 70}{6.38\times 10^{6}}[/tex]
[tex]F_E=685\ N[/tex]=685 N
Now the comparison will be
[tex]\dfrac{F_M}{F_E}=\dfrac{2.4\times 10^{-3}}{685}=0.0004%[/tex]
Thus the force exerted by the moon on the human will be 2.40*10^-3 N
the force exerted by the moon is lesser then earth of about 0.0004%
To know more about gravitational force follow
https://brainly.com/question/19050897
