To determine the planet a person is standing on, we can use the relationship between weight, mass, and gravitational acceleration, given by the formula:
\[ \text{Weight} = \text{Mass} \times \text{Acceleration due to gravity} \]
In this case, we have the person's weight (343 N) and mass (35.0 kg). We can rearrange the formula to find the acceleration due to gravity:
\[ \text{Acceleration due to gravity} = \frac{\text{Weight}}{\text{Mass}} \]
Substituting the values:
\[ \text{Acceleration due to gravity} = \frac{343 , \text{N}}{35.0 , \text{kg}} \] \[ \text{Acceleration due to gravity} = 9.8 , \text{m/s}^2 \]
Now, we need to compare this value to the gravitational acceleration of the planets mentioned:
- Earth: approximately 9.81 m/s²
- Venus: approximately 8.87 m/s²
- Mars: approximately 3.71 m/s²
- Mercury: approximately 3.7 m/s²
The calculated value of 9.8 m/s² is closest to that of Earth.
Thus, the answer is:
a. Earth