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What is the radius of the largest spherical asteroid from which a person could escape by jumping straight upward? Assume that each cubic meter of the asteroid has a mass of 3700 kg.

Answer :

So, the maximum diameter of a spherical asteroid from which you could escape by jumping is 1204.94 meters

Which nation has no gravity?

On the Faroe Islands, there is one where the water appears to be moving upward and defying the law of gravity. In actuality, when strong gusts of wind blow against the waterfall's flow, the waterfall flips over, contrary to what its name implies, defying gravity.

On earth you can jump straight up a distance of 36 cm, h = 36 cm = 0.36m

Asteroids are made of material with mass density-3700Kg/m3

Escape velocity is given by :

V=[tex]\sqrt{2GM/R}[/tex]

R=2GM/[tex]V^{2}[/tex]

Where

G is the universal gravitational constant

M is the mass

Density, d=m/v

M=3700*4/3[tex]\pi[/tex]*[tex]r^{3}[/tex]=15498.5[tex]r^{3}[/tex]

Now using conservation of energy as :

[tex]1/2mv^{2}=mgh[/tex]

v=[tex]\sqrt{2GH}[/tex]=2.65 m/s

[tex]R^{2}[/tex]=[tex]2.65^{2} /2*6.67*10^{-11} *15498.5[/tex]

Radius=602.47 m

To know more about asteroid visit:-

https://brainly.com/question/19161842

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