Calculate the gravitational force between a body of mass 100 kg and the earth. Also?calculate the acceleration produced in the body and that in earth. ?

Dear Student,
​​​​The formula for gravitational force is :
F = G×m1×m2 / r2
G (gravitational constant) = 6.67×10-11m3 kg-1 s-2
m1(mass of the object) = 100 kg
m2(mass of the earth) = 5.972 × 1024 kg
r (radius of the earth) = 6371 km
Now putting the values in the given:
F = 6.67 × 10-11 × 100 × 5.972 × 1024/ (6371)
On calculation it equals to:
F=39.83324 ×  1015 / 40589641 
F=9.81 × 108 N
To find the acceleration use the formula
F = Ma
So force for both cases is F=9.81 × 108 N

Acceleration on the body is:
F = Ma
So force on body is F=9.81 × 108 N and M=100kg
a= 9.81 × 108 / 100= 9.81 x 106 m/s2
Now force on earth is F=9.81 × 108 N and m2(mass of the earth) = 5.972 × 1024 kg
a= 9.81 × 108 N  / 5.972 × 1024 kg
Acceleration on earth is 1.64 × 10-16 kg
Regards
 

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