Weight of Body Above Earth's Surface

`w = (G*m_E*m)/(r+ER_(mu))^2`

`(m)"Mass of the Body"`

`(r)"Distance above the Earth"`

Tags

The Weight of Body Above Earth's Surface calculator computes the force of weight based on the mass of the object and the height above the Earth.

INSTRUCTIONS: Choose units and enter the following:

(r) Height above the Earth
(m) Mass of the Body

Weight (w): The calculator returns the weight in Newtons. However this can be automatically converted to compatible units via the pull-down menu.

The Math / Science

The formula for the weight of a body above the Earth's surface is:

` ω = (G·M_E · M_B)/(r + ER_μ)^2`

where:

ω is the weight of a body above the Earth's Surface
G is the universal gravity constant
M_E is the mass of the Earth
m is the mass of the body
r is the height above the Earth
ER_μ is the mean spherical radius of the Earth

This is a form of the Newton's Force of Gravity Equation

Reference

University Physics 12th Edition, Chapter 12, Equation #12.5