To find the gravitational force of the robotic helicopter on Mars, we can use the ratio of the gravitational forces on Earth and Mars.
The gravitational force (weight) can be calculated using the formula:
\[ F = m \cdot g \]
where:
- \( F \) is the weight (gravitational force),
- \( m \) is the mass,
- \( g \) is the acceleration due to gravity.
First, we need to calculate the mass of the helicopter using its weight on Earth:
\[ m = \frac{F}{g} = \frac{17.65 , \text{N}}{9.8 , \text{m/s}^2} \]
Calculating the mass:
\[ m = \frac{17.65}{9.8} \approx 1.80 , \text{kg} \]
Now we can find the gravitational force on Mars using the mass we just calculated:
\[ F_{\text{Mars}} = m \cdot g_{\text{Mars}} = 1.80 , \text{kg} \cdot 3.71 , \text{m/s}^2 \]
Calculating the force on Mars:
\[ F_{\text{Mars}} \approx 1.80 \cdot 3.71 \approx 6.68 , \text{N} \]
Therefore, the gravitational force of the helicopter on Mars is approximately 6.68 N.
So, the correct response is:
6.68 N