SOLUTION: On a given planet, the weight of an object varies directly with the mass of the object. Suppose that an object whose mass is 9 kg weighs 54 N. Find the weight of an object whose ma
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Question 1192176: On a given planet, the weight of an object varies directly with the mass of the object. Suppose that an object whose mass is 9 kg weighs 54 N. Find the weight of an object whose mass is 10 kg.
Found 2 solutions by Solver92311, ikleyn:
Answer by Solver92311(821) (Show Source): You can put this solution on YOUR website!
A Newton is a force on an object of mass 
being acted upon by a gravitational acceleration of 
. 1 Newton is 
. So an object of mass 9 kg that weighs 54 N, must be in a gravitational field with a net gravitational acceleration of 
where 
, hence the net gravitational acceleration must be 
. You should be able to get the rest by yourself.
Extra credit: Is the mass of this fictional planet greater or smaller than Earth?
By the way, Ikleyn is absolutely correct. My solution says basically the same thing except that I identify the constant of proportionality as the acceleration due to the local gravitational field.
John
My calculator said it, I believe it, that settles it
From
I > Ø
Answer by ikleyn(52794) (Show Source): You can put this solution on YOUR website!
.
I think it would be correct to say that at ANY planet the weight of an object varies directly with the mass.
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