Suppose that on earth you can jump straight up a distance of 36 cm. asteroids are made of material with mass density 2800 kg/m^3. what is the maximum diameter of a spherical asteroid from which you could escape by jumping? express your answer with the appropriate units

Diameter, d = 4237.14 meters

Explanation:

It is given that,

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

Asteroids are made of material with mass density,

Escape velocity is given by :

Where

G is the universal gravitational constant

M is the mass

Density,

Density,

..............(2)

Now using conservation of energy as :

Radius, R = 2118.57 m

Diameter, d = 2R

So, the maximum diameter of a spherical asteroid from which you could escape by jumping is 4237.14 meters. Hence, this is the required solution.

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