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TFM
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[SOLVED] Density of Asteroids, Escape Velcoity and Jumping
The question wants to know the maximum radius of an asteroid that you can escape from by simply jumpibng off.
The Variables given:
densities = 2500 kg/m cubed
radii = 470km downwards
height of jump = 1m
v(Escape) = sqrt(GM/r)
m = d/r cubed
V squared = U squared + 2as (for initial jump speed)
using a = 9.8 and s = 1, I calculated the initial jump speed is 4.43
rearranging the equation for EScape Velocity:
v(escape) = sqrt[(G(d/r cubed))/r]
v sqyared = (G(d/r cubed))/r
v squared = GD/r squared
r squared = Gd/v sqyared
r = sqrt [GD/v squared]
but this isn't giving me the right answer?
Homework Statement
The question wants to know the maximum radius of an asteroid that you can escape from by simply jumpibng off.
The Variables given:
densities = 2500 kg/m cubed
radii = 470km downwards
height of jump = 1m
Homework Equations
v(Escape) = sqrt(GM/r)
m = d/r cubed
V squared = U squared + 2as (for initial jump speed)
The Attempt at a Solution
using a = 9.8 and s = 1, I calculated the initial jump speed is 4.43
rearranging the equation for EScape Velocity:
v(escape) = sqrt[(G(d/r cubed))/r]
v sqyared = (G(d/r cubed))/r
v squared = GD/r squared
r squared = Gd/v sqyared
r = sqrt [GD/v squared]
but this isn't giving me the right answer?