Question

An object is taken to Mars. It’s mass is 15kg, it’s weight on Mars is 55.5N

What is the gravitational field strength on Mars?

Answer 1

Approximately
`3.7\; {\rm N \cdot kg^(-1)}` (or equivalently,
`3.7\; {\rm m\cdot s^(-2)}`.)

Step-by-step explanation:

Gravitational field strength measures the force (weight) that the field exerts on object of unit mass (e.g.,
`1\; {\rm kg}`.)

Divide the weight of the object by its mass to find the gravitational field strength at the position.

In this question,
`\text{weight} = 55.5\; {\rm N}` while
`\text{mass} = 15\; {\rm kg}`. Therefore, the gravitational field strength will be:

`\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}`.