My prof proposed a question for us. He gave us this information: if your body is inside an object (earth) and is located at 10% of the earth's radius, what is the acceleration? We are currently learning about newton's law of universal gravitation but I'm not sure I see how this question is related to the formula
force = gravity * Mass of earth * mass of object / (radius^2) = mg
The Attempt at a Solution
I've tried plugging the numbers into the equation above but my problem is that the mass of the object is unknown. I'm assuming that since he didn't give us a specific mass, mass would not be an important part of the problem and should be a constant? Could I perhaps use a kinematics equation to solve for acceleration? Please help if you know of any way to figure this out! Thank you.