To determine how much a 25.0 kg rock would weigh on Uranus, we need to use the gravitational acceleration provided for Uranus in the given data. Here are the steps:
1. Identify the given quantities:
- Mass of the rock ([tex]\(m\)[/tex]): 25.0 kg
- Gravitational acceleration on Uranus ([tex]\(g\)[/tex]): 8.7 m/s²
2. Use the formula for weight:
The weight ([tex]\(W\)[/tex]) of an object is calculated using the formula:
[tex]\[
W = m \cdot g
\][/tex]
where [tex]\(W\)[/tex] is the weight, [tex]\(m\)[/tex] is the mass of the object, and [tex]\(g\)[/tex] is the gravitational acceleration.
3. Substitute the given values into the formula:
[tex]\[
W = 25.0 \, \text{kg} \times 8.7 \, \text{m/s}^2
\][/tex]
4. Perform the multiplication:
[tex]\[
W = 217.5 \, \text{N}
\][/tex]
5. Round the result to the nearest whole number:
[tex]\[
W \approx 218 \, \text{N}
\][/tex]
Therefore, to the nearest whole number, the 25.0 kg rock would weigh 218 N on Uranus.
So, the correct option is:
- 218 N
