physics
posted by melad .
At what altitude above the Earth's surface would your weight be twothirds of what it is at the Earth's surface? (Assume Re = 6.371 103 km.)

For any one body, the gravitational constant, GM , and your reference mass, m, remain constant. Therefore, you can derive your apparant weight at high altitudes from W = Wo(Ro/R)^2 where Wo = your refernce weight on the body surface, R = the altitude at which the new weight is desired and Ro = the radius of the body surface. Thus, on earth, W = Wo(3963/(3963 + h)^2 where Ro = the earth's radius and h = the height above the earth's surface, in either feet or miles.
I'll let you do the math.
Respond to this Question
Similar Questions

physics
At what altitude above the Earth's surface would your weight be threefifths of what it is at the Earth's surface? 
Physics
Calculate the force of gravity on a spacecraft 19200 km (3 earth radii) above the Earth's surface if its mass is 1600 kg. Hint: At three earth radii from the surface of the Earth, the gravity force (weight) of the spacecraft will be … 
physics
A satellite has a mass of 100 kg and is in an orbit at 2.00*10^6 m above the surface of the Earth (a) what is the potential enegry of the satellite at this location? 
Physics
At what altitude above the Earth's surface would your weight be threefourths of what it is at the Earth's surface? 
Physics
Let us assume that the muon production happens at an altitude of about 15 kilometers above the surface of the Earth, and that the produced muons have a velocity of 0.99 c. Thus, in the Earth system, it takes the muon approx. 50500 … 
Algebra II
The force of attraction between the earth and some object is called the weight of that object. The law of gravitation states, then, that the weight of an object is inversely proportional to the square of its distance from the center … 
Physics
Suppose a new extrasolar planet is discovered. Its mass is double the mass of the Earth, but it has the same density and spherical shape as the Earth. How would the weight of an object at the new planet's surface differ from its weight … 
physics
How high does a rocket have to go above the Earth’s surface so that its weight is reduced to 33.7 % of its weight at the Earth’s surface? 
Physics
Calculate the percentage of Earth’s gravitational force on the ISS astronauts while orbiting at an altitude of 248 miles above Earth’s surface. To do this, compare the gravitational force on an orbiting astronaut to the force on … 
Physics
At what altitude above the Earth's surface is the gravitational field strength equal to g/7?