What is the weight of a 68 kg astronaut on the moon (g = 1.7 m/s^2)?
Understand the Problem
The question is asking us to calculate the weight of an astronaut on the moon using the formula Weight = mass × gravitational acceleration. We will use the mass of the astronaut (68 kg) and the gravitational acceleration on the moon (1.7 m/s²) to find the answer.
Answer
The weight of the astronaut on the moon is \( 115.6 \, \text{N} \).
Answer for screen readers
The weight of the astronaut on the moon is ( 115.6 , \text{N} ).
Steps to Solve
- Identify the formula for weight
To calculate weight, we will use the formula ( \text{Weight} = \text{mass} \times \text{gravitational acceleration} ).
- Substitute the values into the formula
We know the mass of the astronaut is 68 kg and the gravitational acceleration on the moon is 1.7 m/s². Therefore, we substitute these values:
$$ \text{Weight} = 68 , \text{kg} \times 1.7 , \text{m/s}^2 $$
- Perform the multiplication
Now we calculate the multiplication:
$$ \text{Weight} = 68 \times 1.7 = 115.6 , \text{N} $$
- State the final answer
The weight of the astronaut on the moon is 115.6 N (Newtons).
The weight of the astronaut on the moon is ( 115.6 , \text{N} ).
More Information
Weight is the force exerted by gravity on an object, and it varies depending on the gravitational pull of the celestial body. The weight on the moon is significantly less than on Earth due to its lower gravitational acceleration.
Tips
- Mixing up the values of mass and gravitational acceleration, which can lead to incorrect calculations. Always double-check the values provided.
- Forgetting to convert units if necessary; ensure consistency in units when calculating weight.
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