To find the gravitational force acting on the drone when it is on Mars, you can use the formula:
\[ F = m \cdot g \]
where:
- \( F \) is the gravitational force,
- \( m \) is the mass of the object,
- \( g \) is the acceleration due to gravity.
First, you need to find the mass of the drone. The gravitational force on Earth can be calculated as follows:
\[ F_{Earth} = m \cdot g_{Earth} \] \[ F_{Earth} = 6.0 , \text{kg} \cdot 9.8 , \text{m/s}^2 \] \[ F_{Earth} = 58.8 , \text{N} \]
Now that you know the force and the gravitational acceleration on Earth, you can rearrange the formula to find the mass:
\[ m = \frac{F_{Earth}}{g_{Earth}} = \frac{58.8 , \text{N}}{9.8 , \text{m/s}^2} = 6.0 , \text{kg} \]
Now, calculate the gravitational force on Mars using the formula again:
\[ F_{Mars} = m \cdot g_{Mars} \] \[ F_{Mars} = 6.0 , \text{kg} \cdot 3.71 , \text{m/s}^2 \] \[ F_{Mars} = 22.26 , \text{N} \]
Therefore, the gravitational force acting on the drone while sitting on Mars is 22.26 N.
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