Answer :
Answer:
Approximately [tex]3.7\; {\rm N \cdot kg^{-1}}[/tex] (or equivalently, [tex]3.7\; {\rm m\cdot s^{-2}}[/tex].)
Explanation:
Gravitational field strength measures the force (weight) that the field exerts on object of unit mass (e.g., [tex]1\; {\rm kg}[/tex].)
Divide the weight of the object by its mass to find the gravitational field strength at the position.
In this question, [tex]\text{weight} = 55.5\; {\rm N}[/tex] while [tex]\text{mass} = 15\; {\rm kg}[/tex]. Therefore, the gravitational field strength will be:
[tex]\begin{aligned} & (\text{gravitational field strength}) \\ =\; & \frac{(\text{weight})}{(\text{mass})} \\ =\; & \frac{55.5\; {\rm N}}{15\; {\rm kg}} \\ =\; & 3.7\; {\rm N \cdot kg^{-1}} \end{aligned}[/tex].