To determine which planet the person is standing on, we need to calculate the acceleration due to gravity on each planet based on the person's weight and mass. The weight (W) of an object is given by the formula:
\[ W = m \times g \]
Where:
- \( W \) is the weight in Newtons (N),
- \( m \) is the mass in kilograms (kg),
- \( g \) is the acceleration due to gravity in meters per second squared (m/s²).
Given that the person's mass is 35.0 kg and their weight is 343 N, we can rearrange the formula to solve for \( g \):
\[ g = \frac{W}{m} \]
Substituting the values:
\[ g = \frac{343 , \text{N}}{35.0 , \text{kg}} \]
\[ g = 9.8 , \text{m/s}^2 \]
Now, we need to match this calculated acceleration due to gravity with the values typically found on the planets mentioned in the options:
- Venus: approximately 8.87 m/s²
- Earth: approximately 9.81 m/s²
- Mercury: approximately 3.7 m/s²
- Mars: approximately 3.71 m/s²
The calculated value, 9.8 m/s², is closest to the acceleration due to gravity on Earth (9.81 m/s²).
Therefore, the answer is:
b. Earth
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