Rational function helpp needed immedietly

[gamefreak]

rational function helpp needed immedietly !

1. when astraunauts go into space, they feel lighter. this is because weight decreases as a person rises above Earth's gravitational pull according to the formula

W(h) = We/(1+h/6400)^2

where We is the person's weight in Newtons, at sea level on Earth and W(h) is the weight at h km above sea level

Q) at what range of altitudes will this astraunaut have a weight of less than 10 N?

Homework Equations

W(h) = We/(1+h/6400)^2

The Attempt at a Solution

i attempted it by trying various methods, it will take too long to type it up here and i already have the answer in the book i tried but i could not get that answer

so please help ! I would really appreciate that . thank you !

Homework Statement

Homework Equations

The Attempt at a Solution

 

[n!kofeyn]

W(h) is the weight of the person at a height of h above sea level. For this person to weigh less than 10 Newtons, W(h) needs to be less than 10. So set W(h)<10 and solve for h.

 

[rock.freak667]

Well you basically want to find when W(h)<10


so just solve for h in

$$\frac{820}{(1+\frac{h}{6400})^2}<10$$

 

[gamefreak]

ok so when i solve that I end up with

82 (h+1)^2 > 0

im lost now?

 

[n!kofeyn]

You didn't solve for h correctly. Hint: multiply both sides by (1+h/6400)² and then take the square root of both sides.