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In absolute system force is normalized as one unit mass times one unit length per second².i.e. 

1N=1Kg*1m/1sec². 

But in gravitational system it depends on acceleration due to gravity 'g'. 

This is how it differs from absolute system;because g is not absolute,it is variable. 

Since weight is a force hence its units are different in both system. 

However W is defined as 

W=m.g in both the systems

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scme1702

Although the forces possess the same units, Newton (kg m/s²), the forces are gravitational force is very different due to the fact that it has a predetermined value of acceleration, 9.81 m/s². This value is also subject to change based on the strength of the gravitational field.
Thus, even though the units are the same, their values are different.

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