To determine how much less force a person would be applying to their joints when walking on Mars compared to walking on Earth, we can use the ratio of the gravitational accelerations.
- The gravitational acceleration on Earth (g_E) is 9.8 m/s².
- The gravitational acceleration on Mars (g_M) is 3.7 m/s².
Next, we can find the ratio of the forces experienced on Mars compared to Earth:
\[ \text{Force Ratio} = \frac{g_E}{g_M} = \frac{9.8 , \text{m/s}^2}{3.7 , \text{m/s}^2} \]
Calculating this gives:
\[ \text{Force Ratio} \approx 2.65 \]
This means that a person would experience approximately 2.65 times more force on their joints when walking on Earth compared to Mars. To find out how much less force is applied on Mars, we can calculate:
\[ \text{Force Reduction} = 1 - \frac{1}{\text{Force Ratio}} \approx 1 - \frac{1}{2.65} \approx 0.62 \]
Thus, a person would be applying approximately 2.65 times less force to their joints when walking on Mars.
Therefore, the closest response from the options provided is:
2.6 times less force.
1 answer