A planet has mass and radius 1/3of those of earth. Calculate the acceleration due to gravity of the planet and compare it with acceleration due to gravity on earth. If an object has 5 kg mass on earth. Calculate it's weight of the planet
Answers
(☞ﾟ∀ﾟ)☞Answer:-
Let us consider the mass of planet is M.
The radius of earth is R.
Hence, the gravitational acceleration of the earth is calculated as -
Here, G is the universal gravitational force constant.
The value of .
As per the question, the mass of other planet M' =
The radius of the planet R' =
Hence, the acceleration due to gravity on this planet will be -
[2]
From above, we see that the acceleration due to gravity on this planet is three times the acceleration due to gravity on earth.
Hence, g ' = 3g.
Again we are asked to calculate the weight of a 5 kg object on this planet.
The mass of a body is always constant for non relativistic motion. So, the mass of the object on this planet will be the same i.e 5 kg.
The weight of a body is equal to the product of mass with aceleration due to gravity.
Hence, the weight of the object on this new planet will be-
W = mg'
= 5×3g N.
= 5×3×9.8 N
= 147 N.
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