state why gravitational field strength is numerically equal
Gravitational field strength is numerically equal because it is determined by the mass of the object creating the gravitational field. The equation for gravitational field strength is given by:
g = G * (m / r^2)
where g is the gravitational field strength, G is the gravitational constant, m is the mass of the object creating the field, and r is the distance from the center of the object.
Since the mass of the object is directly proportional to the gravitational field strength, the field strength will be numerically equal to the mass. However, it is important to note that the units of mass (kilograms, for example) and gravitational field strength (newtons per kilogram, for example) are different, so they are not directly comparable without proper conversion.