To determine Hill's weight on Mars, we can use the ratio of the gravitational forces on Earth and Mars. The formula to find the weight on Mars is:
\[ \text{Weight on Mars} = \text{Weight on Earth} \times \left(\frac{\text{Gravity on Mars}}{\text{Gravity on Earth}}\right) \]
Given that:
- Weight on Earth = 128 pounds
- Gravity on Earth = 9.81 m/s²
- Gravity on Mars = 0.38 m/s²
Now we can substitute these values into the formula:
\[ \text{Weight on Mars} = 128 , \text{pounds} \times \left(\frac{0.38}{9.81}\right) \]
Calculating \(\frac{0.38}{9.81}\):
\[ \frac{0.38}{9.81} \approx 0.0387 \]
Now, multiply this by 128 pounds:
\[ \text{Weight on Mars} \approx 128 \times 0.0387 \approx 4.9496 \]
Rounding to the nearest hundredth:
\[ \text{Weight on Mars} \approx 4.95 , \text{pounds} \]
So, Hill would weigh approximately 4.95 pounds on Mars.