The planet Krypton has a mass of 8.8 × 1023 kg and radius of 2.5 × 106 m. What is the acceleration of an object in free fall near the surface of Krypton? The gravitational constant is 6.6726 × 10−11 N · m2 /kg2 . Answer in units of m/s 2 .

Respuesta :

Answer:

Acceleration, [tex]a=9.39\ m/s^2[/tex]

Explanation:

Given that,

Mass of the planet Krypton, [tex]m=8.8\times 10^{23}\ kg[/tex]

Radius of the planet Krypton, [tex]r=2.5\times 10^{6}\ m[/tex]

Value of gravitational constant, [tex]G=6.6726\times 10^{-11}\ Nm^2/kg^2[/tex]

To find,

The acceleration of an object in free fall near the surface of Krypton.

Solution,

The relation for the acceleration of the object is given by the below formula as :

[tex]a=\dfrac{Gm}{r^2}[/tex]

[tex]a=\dfrac{6.6726\times 10^{-11}\times 8.8\times 10^{23}}{(2.5\times 10^{6})^2}[/tex]

[tex]a=9.39\ m/s^2[/tex]

So, the value of acceleration of an object in free fall near the surface of Krypton is [tex]9.39\ m/s^2[/tex]