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A volume of rock has a mass roughly three times a similar volume of ice. Suppose one world is made of ice whereas another world with the same radius is made of rock. If g is the acceleration of gravity on the surface of the ice world, what is the approximate acceleration of gravity on the rock world?

Respuesta :

Answer:

Acceleration on the rock world will be 3 times the acceleration on the ice world  

Explanation:

Let the mass of the ice is [tex]m_i[/tex]

So mass of rock [tex]m_r=3m_i[/tex]

It is given that both have same radius, let radius is r

We know that acceleration due to gravity is given by [tex]g=\frac{GM}{R^2}[/tex]

So acceleration due to ice world [tex]g=\frac{Gm_i}{r^2}[/tex] ----eqn 1

Acceleration of gravity on rock world [tex]g_{rock}=\frac{G3m_i}{r^2}[/tex]-----eqn 2

Now dividing eqn 1 by eqn 2

[tex]\frac{g}{g_{rock}}=\frac{1}{3}[/tex]

[tex]g_{rock}=3g[/tex]

So acceleration on the rock world will be 3 times the acceleration on the ice world  

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