The footfall player has a mass equal to 100kg standing on earth surface at distance of 6.38×10^6m.calculate force of gravitational attraction between the earth and football player?
1 Answer
Explanation:
Using Newton's law of universal gravitation:
We can find the attraction force between two masses given their proximity to each other, and their respective masses.
The mass of the football player is
And as the distance should be is measured from the center of the object, the distance the Earth and the player are from each other must be Earth's radius- which is the distance given in the question-
Now, let's plug everything into the equation:
This closely resembles the value of the gravitational field strength or Earth,
If we use the equation that gives gravitational field strength, or force per unit mass:
We can test our answer. In reality,
With our value:
So it more or less checks out.