To find Mark's weight on Mars, we can use the formula:
\[ \text{Weight} = \text{mass} \times \text{gravity} \]
First, we need to determine Mark's mass based on his weight on Earth. His weight on Earth is given as 200 Newtons, and the gravitational force on Earth is \(10 , \text{m/s}^2\):
\[ \text{mass} = \frac{\text{weight}}{\text{gravity}} = \frac{200 , \text{N}}{10 , \text{m/s}^2} = 20 , \text{kg} \]
Now we can calculate his weight on Mars, where the gravitational force is \(3.5 , \text{m/s}^2\):
\[ \text{Weight on Mars} = \text{mass} \times \text{gravity on Mars} = 20 , \text{kg} \times 3.5 , \text{m/s}^2 = 70 , \text{N} \]
Therefore, Mark's weight on Mars is 70 N.