If the force experienced by a body of unit mass is gravitational field strength, find thegravitational field strength on the surface of the earth.
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Given that, The force experienced by a body of unit mass is gravitational field strength.
Now, We are to find Gravitational field strength on the earth.
By Newton's law of gravitation, We have the equation for force,
here, G is the universal gravitational constant. m1, m2 are the masses, r is the distance of separation.
In this case,
m1 = 1 kg ( Unit mass)
m2 = 6 * 10^24 kg ( Mass of earth)
r = 6400 * 10^3 ( Distance of separation = distance from center to surface.
G = 6.67 * 10^-11 m³ /kgs²
Now,
Therefore, The Gravitational field strength on the surface of earth is 9.8 N/kg.
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