To find out which planet the person is standing on, we can use the formula for weight, which is defined as:
\[ \text{Weight} = \text{mass} \times \text{acceleration due to gravity} \]
Given:
- Mass = 85.0 kg
- Weight = 305 N
We can rearrange the formula to find the acceleration due to gravity (g) on that planet:
\[ g = \frac{\text{Weight}}{\text{mass}} \]
Substituting the values:
\[ g = \frac{305 , \text{N}}{85.0 , \text{kg}} \approx 3.59 , \text{m/s}^2 \]
Now we can compare this value with the known acceleration due to gravity on the four planets:
- Mercury: approximately 3.7 m/s²
- Venus: approximately 8.87 m/s²
- Earth: approximately 9.81 m/s²
- Mars: approximately 3.71 m/s²
Comparing the calculated value of approximately 3.59 m/s², it is closest to the value for Mars, which is approximately 3.71 m/s².
Thus, the person is most likely standing on:
d. Mars