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Okay, first up: The question is poorly worded. Something with units of meters per second per second is not a "force", it's an acceleration. That might be a source of confusion. In the SI, force is measured in units of kilogram-meters per second per second (aka newtons), which should be a BIG clue as to how to solve the problem.To spell it out:Newton's second law is that force = mass * acceleration. You know the mass. You know the acceleration. You're looking for the weight (which is a force). The rest is basic arithmetic.
The "weight" of the object is expressed as a force 39.36 N where a Newton has units of kg .m. s-2 As the gravitometer is registering that the acceleration due to gravity is 9.83 m s-2 we can work out the mass of the object M as fllows M.g =39.36 M= 39.36/9.83 = 4.004kgs Looked at another way: A 1kg mass would exert a force of : 1X 9.83 measuered in Newtons The force observedcaused by the object (its weight) is 39.36 Newtons so we can work out the mass as 39.36/9.83 = 4.004 kgs Note that the units are kgs because Newtons are defined in terms of a kg.