To find the gravitational force of the robotic helicopter on Mars, we can use the ratio of gravitational acceleration on Mars to that on Earth.
The formula to calculate weight (gravitational force) is:
\[ W = m \cdot g \]
Where:
- \( W \) is the weight (gravitational force),
- \( m \) is the mass of the object,
- \( g \) is the gravitational acceleration.
First, we need to find the mass of the helicopter using its weight on Earth:
- On Earth, the gravitational force is 17.65 N and \( g = 9.8 , \text{m/s}^2 \):
\[ m = \frac{W_{Earth}}{g_{Earth}} = \frac{17.65 , \text{N}}{9.8 , \text{m/s}^2} \]
Calculating the mass:
\[ m = \frac{17.65}{9.8} \approx 1.80 , \text{kg} \]
- Now we can calculate the gravitational force on Mars:
\[ W_{Mars} = m \cdot g_{Mars} = 1.80 , \text{kg} \cdot 3.71 , \text{m/s}^2 \]
Calculating the weight on Mars:
\[ W_{Mars} \approx 6.68 , \text{N} \]
So, the gravitational force of the robotic helicopter on Mars is 6.68 N.
The correct response is:
6.68 N.
1 answer