To find Mark's weight on Mars, we first need to understand that weight is the force experienced by an object due to gravity, and it can be calculated using the formula:
\[ \text{Weight} = \text{mass} \times \text{acceleration due to gravity} \]
First, we need to determine Mark's mass on Earth. Given that his weight on Earth is 200 Newtons and the acceleration due to gravity on Earth is 10 m/s², we can find his mass as follows:
\[ \text{mass} = \frac{\text{Weight}}{\text{acceleration due to gravity}} = \frac{200 \text{ N}}{10 \text{ m/s}^2} = 20 \text{ kg} \]
Now that we know Mark's mass, we can calculate his weight on Mars using the acceleration due to gravity on Mars, which is 3.5 m/s²:
\[ \text{Weight on Mars} = \text{mass} \times \text{acceleration due to gravity on Mars} = 20 \text{ kg} \times 3.5 \text{ m/s}^2 = 70 \text{ N} \]
Therefore, Mark's weight on Mars is 70 N.