On a planet whose radius is 1.1 x 10^7 m, the acceleration due to gravity is 41 m/s^2. what is the mass of the planet (in kg)?

M = 7.43×10^25 kg

Explanation:

let the mass of the planet be M and r be the radius of the planet and g be the gravitational acceleretion.

then:

the gravitational acceleration is given by:

g = G×M/(r^2)

M = g×r^2/G

   = [(41)×(1.1×10^7)^2]/(6.67408×10^-11)

   = 7.43×10^25 kg

therefore, the mass of the planet is 7.43×10^25 kg.

explanation: in any substance/object, the particles inside it (atoms/molecules) constantly move in random directions and with random speeds (this motion is called brownian motion). as a result, the particles have some kinetic energy (which is proportional to the temperature of the substance).

explanation:

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