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
Answers
Hey..
The formula for gravitational force is :
F = Gxm1xm2 / r^2 Here , G is the gravitational constant which is
equal to 6.67×10^-11
m1 is the mass of the object which is 100 kg m2 is the mass of the earth which is 5.972 x
10^24 kg
r is the radius of the earth which is 6371 km
Thus...
F = 6.67 x 10^-11 x 100 x 5.972 x 10^24
6371 x 6371
On calculation it equals to
9.81 x 10^8 N
To find the acceleration use the formula
F = Ma
If you want to find the acceleration produced on the body.. then use the body's mass in the formula
and vice versa if you want to find the acceleration produced on the earth
By calculation... Acceleration on the body is 9.81 x 10^6 m/
s^2
Acceleration on earth is 1.64 x 10^-16
Hope this helps u
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Explanation:
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)2
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