Weight of Body Above Earth's Surface

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