To determine the best answer for the weight of an object due to gravity using the acceleration of gravity \( g = 9.8 , \text{m/s}^2 \), we can use the formula for weight:
\[ W = m \cdot g \]
where:
- \( W \) is the weight in newtons (N),
- \( m \) is the mass in kilograms (kg).
The options provided are values in newtons. Without a specific mass provided, we can evaluate the options based on weight units:
- 1 N is the weight of an object that has a mass of approximately \( 0.1 , \text{kg} \) (since \( W = 0.1 , \text{kg} \cdot 9.8 , \text{m/s}^2 \approx 0.98 , \text{N} \)).
- 0.01 N corresponds to a mass of approximately \( 0.001 , \text{kg} \).
- 9.8 N corresponds to a mass of 1 kg (since \( W = 1 , \text{kg} \cdot 9.8 , \text{m/s}^2 \)).
- 98 N corresponds to a mass of approximately \( 10 , \text{kg} \).
Since 9.8 N is the weight of a 1 kg mass on Earth, it is a significant and commonly referenced value related to the acceleration of gravity.
The best answer is 9.8 N.
1 answer