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an object of mass 0.50 kg is transported to the surface of planet x where the object's weight is measured to be 20 n. the radius of the planet is 4.0 x 106 m. what is the mass (kg) of planet x?

Respuesta :

Mass of the planet = 9.59 * 10²⁴ Kg

Given that,

Mass of the object, m = 0.5 kg

Weight of the object, W = 20 N

Radius of the planet, r = 4*10⁶ m

The weight of an object is given by :

W = m*g

g is the acceleration due to gravity on the surface of Planet

g = W/m

  = 20/0.5

  =40 m/s²

The expression for g is given by :

g = GM/r²

M= (r²g) / G

M = 9.59 * 10²⁴ Kg

   

So, the mass of the planet X is 9.59 * 10²⁴ Kg. Hence, this is the required solution.    

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