Question
the weight of an object on each planet is proportional to the force of gravity in that planet's atmosphere. the force of gravity on planet Earth is approximately 9.81 m/squared. the force of gravity on Mars is 0.38 m/squared. If Hill weighs 128 pounds on Earth, how much would he weigh on Mars? round to the nearest hundredth
Answers
GPT-4o mini
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.
\[
\text{Weight on Mars} = \text{Weight on Earth} \times \left(\frac{\text{Gravity on Mars}}{\text{Gravity on Earth}}\right)
\]
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.