Answer:
9.81N
Explanation:
the force of attraction is given by
F=GmM/R²
where m is mass of the body
M is mass of the earth
R is radius of the earth
G is the universal gravitational constant(6.67x10-¹¹)
hence we substitute the values in the formula.
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The force of gravity between the object and the earth? (mass of the earth = 5.97 x 10 24kg, radius of the earth = 6.37 x 10 6m) is 9.8 N.
using Newton's law of universal gravitation,
F = G m₁m₂ / r²
where
F = force of gravity
G = 6.67 × 10⁻¹¹N.m² / kg²
m₁ = mass of the object = 1kg
m₂ = mass of the earth = 5.97 × 10²⁴ kg
r = distance from the centre = 6.37 × 10⁶ m
Therefore,
F = 6.67 × 10⁻¹¹ × 1 × 5.97 × 10²⁴ / 6.37 × 10⁶
F = 39.8199 × 10¹³ / (6.37 × 10⁶)²
F = 39.8199 × 10¹³ / 4.05 × 10¹³
F = 9.83207407407
F ≈ 9.8 N
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