What is the resultant gravitational force vector acting on a 100 kg mass located at the origin?

To determine the resultant gravitational force vector acting on a 100 kg mass located at the origin, we need to consider the effects of gravitational force and the proper units involved.

The gravitational force acting on an object can be calculated using the equation:

[ F = m \cdot g ]

where ( m ) is the mass of the object and ( g ) is the acceleration due to gravity, which is approximately ( 9.81 , \text{m/s}^2 ) near the Earth's surface.

In this case, the mass is ( 100 , \text{kg} ). Therefore, the gravitational force can be calculated as:

[ F = 100 , \text{kg} \cdot 9.81 , \text{m/s}^2 \approx 981 , \text{N} ]

Since this force acts downward due to gravity, we typically express this force in terms of a vector. The vector direction can be represented as (0, -981) when moving downward along the y-axis. However, if we were to assume a scaling factor or interpret the other given choices in a context where we account for a different unit or frame of reference, it