The gravitational field at a satellite that is orbiting about the earth at an altitude of 5,000 km is (G = 6.67 $\times$ 10^-11 N m²/kg²,the mass of the earth is 5.98 $\times$ 10²⁴ kg) A) 9.55 N/kg. B) 8.43 N/kg. C) 3.08 N/kg. D) 6.33 N/kg. E) 5.28 N/kg.

Question

Quizplus · Accepted Answer

The gravitational field at a satellite orbiting the earth is given by the formula:
g = G * M / r^2 
where g is the gravitational field strength, G is the universal gravitational constant, M is the mass of the earth, and r is the distance between the center of the earth and the satellite.

Plugging in the given values, we get:
g = (6.67 x 10^-11 N m^2 / kg^2) * (5.98 x 10^24 kg) / (7000 km + 6371 km)^2
g = 3.08 N/kg

Therefore, the correct answer is C, 3.08 N/kg.

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