Question

Calculate the gravitational acceleration of an object with a mass of 50 kg above the surface of the Earth. Given that the mass of the Earth is (5.97 times 10^(24)) kg and the radius of the Earth is (6.37 times 10^(6)) m.​

A) (9.81 , text(m/s)^2)
B) (9.82 , text(m/s)^2)
C) (10.0 , text(m/s)^2)
D) (8.91 , text(m/s)^2)

Answer 1

The gravitational acceleration of an object above the surface of the Earth can be calculated using the formula g = (GM) / (r^2).

Step-by-step explanation:

The gravitational acceleration of an object above the surface of the Earth can be calculated using the formula:

g = (GM) / (r^2)

where g is the gravitational acceleration, G is the gravitational constant (approximately 6.67430 × 10^-11 N(m/kg)^2), M is the mass of the Earth, and r is the distance between the object and the center of the Earth.

Plugging in the given values, we have:

g = (6.67430 × 10^-11 N(m/kg)^2 * (5.97 × 10^24 kg)) / ((6.37 × 10^6 m)^2)

Simplifying the equation will give the gravitational acceleration in (m/s^2).