Question

ark weighs 200 Newtons on Earth, where the force of gravity is 10 m/s2. He goes to Mars, where the force of gravity is 3.5 m/s2. What is Mark's weight on Mars?(1 point)
Responses

70 N
70 N

700 N
700 N

570 N
570 N

200 N

Answer 1

To calculate Mark's weight on Mars, we first need to determine his mass based on his weight on Earth.

Weight (W) is calculated using the formula:
\[ W = m \cdot g \]
where \( W \) is weight, \( m \) is mass, and \( g \) is the acceleration due to gravity.

Given that Mark's weight on Earth is 200 Newtons and the acceleration due to gravity on Earth is \( 10 \, \text{m/s}^2 \):

\[
200 \, \text{N} = m \cdot 10 \, \text{m/s}^2
\]

From this, we can find Mark's mass \( m \):
\[
m = \frac{200 \, \text{N}}{10 \, \text{m/s}^2} = 20 \, \text{kg}
\]

Now, to find Mark's weight on Mars where the acceleration due to gravity is \( 3.5 \, \text{m/s}^2 \), we can use the same weight formula:

\[
W_{\text{Mars}} = m \cdot g_{\text{Mars}}
\]
\[
W_{\text{Mars}} = 20 \, \text{kg} \cdot 3.5 \, \text{m/s}^2 = 70 \, \text{N}
\]

Thus, Mark's weight on Mars is **70 N**.