On the surface of planet y, which has a mass of 4.83x1024 kg, a 30.0 kg object weighs 50.0 n. what is the radius of the planet?

We can solve the problem in two steps:

1) From the weight W=50.0 N of the object, we can find the value of the gravitational acceleration g of the planet. In fact, the weight is equal to

where m=30 kg is the mass of the object. From this, we find g:


2) The gravitational acceleration of a planet with mass M and radius r is given by

where  is the gravitational  constant. In our problem, the mass of the planet is 
, and we found g in step 1), , so we have everything to solve and find the value of the radius r:

As we gain mass the force of gravity on us increases!

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