Object A is moving around another object B by the
gravitational attraction. What is the acceleration of object A, if
the distance between the two objects is 5.24 x 103 m, and the
mass of object B is 4.21 x 1021 kg? Estimate G as 6.67 10-11 N
(m/kg)^2

Respuesta :

The acceleration of object A is 1.023 x 10⁴ m/s².

What is Newton's universal law of gravitation?

The law states that two objects in the universe exert a force on each other which is proportional to the square of distance between them and product of mass of the two objects.

[tex]F = \frac{GmM}{R^2} [/tex]

Equate the force to Newton's second law of motion,

[tex]F = ma = \frac{GMm}{R^2} \\\\ a = \frac{GM}{R^2} [/tex]

The acceleration of object A is calculated as follows;

[tex]a = \frac{6.67 \times 10^{-11} \times 4.21 \times 10^{21}}{(5.24 \times 10^3)^2} \\\\ a = 1.023 \times 10^4 \ m/s^2[/tex]

Learn more about Newton's law of universal gravitation here: https://brainly.com/question/9373839

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