To calculate 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 using his weight on Earth. Weight on Earth is given by:
\[ \text{Weight} = \text{mass} \times \text{gravity on Earth} \]
Given that Mark weighs 200 Newtons and the force of gravity on Earth is \(10 , \text{m/s}^2\):
\[ 200 , \text{N} = \text{mass} \times 10 , \text{m/s}^2 \]
To find his mass:
\[ \text{mass} = \frac{200 , \text{N}}{10 , \text{m/s}^2} = 20 , \text{kg} \]
Now we will use this mass to determine his weight on Mars, where the gravity is \(3.5 , \text{m/s}^2\):
\[ \text{Weight on Mars} = \text{mass} \times \text{gravity on Mars} \] \[ \text{Weight on Mars} = 20 , \text{kg} \times 3.5 , \text{m/s}^2 = 70 , \text{N} \]
Therefore, Mark's weight on Mars is 70 N.