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.
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
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