What is the force of gravity at 220 miles above Earth's surface? Calculate how much of a g force the astronauts are actually experiencing. The solution for this math problem is a percentage.

You can calculate it using the Algebraic equation: gr = R2/r2 x g
R = the radius of the planet
r = the distance from the center of mass of the planet to the center of mass of the object in orbit
g = the gravitational attraction of the planet on objects on its surface
gr = the gravitational attraction of the planet as felt on the less massive object

Your definition of gr is incorrect. The mass of the object stays the same but the value of the acceleration decreases with altitude.

All you have to do is apply the formula
gr = (R^2/r^2) * g

The value of r 220 miles above the earth's surface is
r = 220 + R, where
R = 3959 miles

All you have to do is calculate the factor
(R/r)^2 = (3959/4179)^2

They want you to express the answer as a percent reduction from 1.000

You cannot actually calculate a force since you were not given a mass value.

looks like someone is cheating on their NASA HAS lesson 3 assignment

hey Bumble, no idea what youre talking about, but if he is cheating on an assignment, why are you on this site looking at his answer? by default, your accusation implies that you also cheated on your homework. FAIL!

And the answer is still wrong, you have the wrong formula and forgot 9.81 as surface grav.

Gr=R^2/R^2 * G
Gr= (6378^2/6598^2) *9.81
Gr= 9 . 166 708 367

IDK about the percent thing

To find the force of gravity at a specific distance from Earth's surface and calculate the g force experienced by astronauts, we can use the equation gr = R^2 / r^2 * g, where:

R = radius of the planet (in this case, radius of Earth)
r = distance from the center of mass of the planet to the center of mass of the object in orbit (in this case, the distance above Earth's surface)
g = gravitational attraction of the planet on objects on its surface (9.8 m/s^2, on average)

The radius of Earth is approximately 6,371 kilometers or 3,959 miles. To use consistent units, we'll convert the distance from miles to kilometers.

1 mile = 1.609 kilometers

So, 220 miles is equal to 220 * 1.609 = 354.68 kilometers.

Now we have the values needed to find the force of gravity. Let's substitute them into the equation:

gr = (6371^2) / (354.68^2) * 9.8

Simplifying the equation further,

gr = (40482241) / (125887.0224) * 9.8

gr ≈ 31.02

Therefore, the force of gravity at 220 miles above Earth's surface is approximately 31.02 m/s^2.

Now, to calculate the g force experienced by astronauts, we need to compare this value to the normal force on Earth's surface (9.8 m/s^2). The g force is essentially the ratio of the gravitational force acting on the astronauts compared to the force they experience on Earth.

g force = (gr - g) / g * 100%

g force = (31.02 - 9.8) / 9.8 * 100%

Simplifying the equation,

g force ≈ 216.73%

Therefore, the astronauts are experiencing approximately 216.73% of the force of gravity they would feel on Earth's surface at that height.