a force of 5.25 newtons acts on an object of a mass 25.5 kilogram .how far is the object from the center of earth?(the value of G is 6.673x10-11 newtons meter2/kilogram 2. the mass of earth is 5.98x 1024 kilogram

Respuesta :

Answer:

The answer is B

Explanation:

13.92km is distance from the center of the earth.

What is universal law of gravitation ?

Newton's Law of Universal Gravitation states that :

Each and every particle attracts every other particle in the universe that is , force directly proportional to the product of the masses and inversely proportional to the square of the distance between them.

The formula for gravitational force is:[tex]\[F=G \frac{ m _{E}m _{2} }{ r ^{2}}\][/tex]

where G is the gravitational constant; m

By computing the values in [tex]\[F=G \frac{ m _{E}m _{2} }{ r ^{2}}\][/tex]

[tex]5.25 = \frac{6.673 * 10^-^1^1 * 5.98 * 10^2^4}{r^2}[/tex]

[tex]r^2 = \frac{6.673 * 10^-^1^1 * 5.98 * 10^2^4*25.5}{5.25}[/tex]

[tex]r^2 =193.822[/tex]

r = 13.92 km

Therefore,

13.93 km is far the object from the center of earth.

Learn more about universal law of gravitation here:

https://brainly.com/question/858421

#SPJ2