- #1
mmoadi
- 157
- 0
Homework Statement
What is the maximum height that the body reaches when thrown vertically upwards from the surface of the Earth at a velocity of 5km/s, if we neglect the impact of the atmosphere? The radius of the Earth is r= 6400km; the acceleration of gravity on the surface is g = 10 m/s².
Homework Equations
KE= mv²/2
PE= mgh
The Attempt at a Solution
KE + PE = PE’
(mv²/2) – (mM/r)G = -(mM/r+h)G
F(gravity)= mg
f = (mM/ r²)G
mg = (mM/ r²)G
g= MG/ r²) → MG = g r²
h= [g r² / rg/r – v0²/2] – r
h= 1553.4 m
Are my calculations correct?