Answer :
To find out how much a 25.0 kg rock would weigh on Uranus, we need to use the concept of weight, which is the force experienced by an object due to gravity. Weight can be calculated using the formula:
[tex]\[ \text{Weight (N)} = \text{mass (kg)} \times \text{gravitational acceleration (m/s}^2) \][/tex]
1. Identify the Mass: The mass of the rock is given as 25.0 kg.
2. Gravitational Acceleration on Uranus: The gravitational acceleration on Uranus is approximately 8.69 m/s².
3. Calculate the Weight: Multiply the mass of the rock by the gravitational acceleration on Uranus:
[tex]\[
\text{Weight on Uranus} = 25.0 \, \text{kg} \times 8.69 \, \text{m/s}^2
\][/tex]
4. Compute the Result: The multiplication gives us the weight in newtons (N).
5. Round to the Nearest Whole Number: Finally, round the result to the nearest whole number to match one of the provided options.
By following these steps, we find that the weight of the rock on Uranus is approximately 217 N. Therefore, the closest option is 218 N.
[tex]\[ \text{Weight (N)} = \text{mass (kg)} \times \text{gravitational acceleration (m/s}^2) \][/tex]
1. Identify the Mass: The mass of the rock is given as 25.0 kg.
2. Gravitational Acceleration on Uranus: The gravitational acceleration on Uranus is approximately 8.69 m/s².
3. Calculate the Weight: Multiply the mass of the rock by the gravitational acceleration on Uranus:
[tex]\[
\text{Weight on Uranus} = 25.0 \, \text{kg} \times 8.69 \, \text{m/s}^2
\][/tex]
4. Compute the Result: The multiplication gives us the weight in newtons (N).
5. Round to the Nearest Whole Number: Finally, round the result to the nearest whole number to match one of the provided options.
By following these steps, we find that the weight of the rock on Uranus is approximately 217 N. Therefore, the closest option is 218 N.
