The earth has radius of 6,357,000 meters, and a mass of 5.972*1024 kilograms. An elephant has a mass of 6,000 kilograms. What would the force of gravity on the elephant, from the earth, be?

Respuesta :

Answer:

[tex]F=5.91\times 10^4\ N[/tex]

Explanation:

Given that,

The radius o Earth, R = 6,357,000 m

Mass of the Earth, M = 5.972 × 10²⁴ kg

The mass of an elephant, m = 6000 kg

We need to find the force of gravity on the elephant. The force acting between two objects is given by :

[tex]F=\dfrac{GMm}{R^2}\\\\F=\dfrac{6.67\times 10^{-11}\times 5.972\times 10^{24}\times 6000}{(6,357,000 )^2}\\\\F=59141.51\ N\\\\F=5.91\times 10^4\ N[/tex]

So, the required force of gravity on the elephant is [tex]5.91\times 10^4\ N[/tex].