The gravitational field on the surface of the earth is (G = 6.67 $\times$ 10^-11 N m²/kg²,mass of the earth is 5.98 $\times$ 10²⁴ kg,radius of the earth is 6.38 $\times$ 10⁶ meters) A) 3.40 N/kg. B) 6.20 N/kg. C) 9.80 N/kg. D) 10.1 N/kg. E) 20.3 N/kg.

Question

Quizplus · Accepted Answer

The gravitational field on the surface of the earth can be calculated using the formula g = (Gm)/r^2, where G is the universal gravitational constant, m is the mass of the earth and r is the radius of the earth. Substituting the given values, we get g = (6.67 x 10^-11 N m^2/kg^2) x (5.98 x 10^24 kg)/(6.38 x 10^6 m)^2 = 9.8 N/kg (approximately). Therefore, the best choice is C, which matches the calculated value.

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