According to `` Newton 's laws of motion '' and the equation F = ma , when acted upon by a force F of one Newton , an object with mass m of one kilogram will accelerate a at the rate of one meter per second per second ( 1 m\/s2 ) - about one-tenth the acceleration due to Earth 's gravity While the weight of an object is dependent upon the strength of the local gravitational field , the mass of an object is independent of gravity .
An object with a mass ( m ) of one kilogram will accelerate ( a ) at one meter per second per second when acted upon by a force ( F ) of one newton .