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Answer :
To determine how much a person would weigh on Jupiter if they weigh 100 pounds on Earth, we need to consider the difference in gravitational force between the two planets.
1. Understand the Concept:
- Weight is the force exerted by gravity on an object.
- The weight of an object can change depending on the gravity of the planet it is on.
2. Gather Relevant Information:
- The gravitational force on Earth is approximately 9.81 m/s².
- The gravitational force on Jupiter is about 24.79 m/s².
3. Calculate the Weight on Jupiter:
- To find the weight on Jupiter, we take the person's weight on Earth and adjust it for the difference in gravitational force between Earth and Jupiter.
4. Formula:
- Weight on Jupiter = Weight on Earth × (Gravity on Jupiter / Gravity on Earth).
5. Apply the Numbers:
- Weight on Earth = 100 pounds.
- Gravity on Earth = 9.81 m/s².
- Gravity on Jupiter = 24.79 m/s².
Substitute these values into the formula:
- Weight on Jupiter = 100 × (24.79 / 9.81).
6. Calculate the Result:
- When you perform this calculation, the result is approximately 252.701 pounds.
7. Conclusion:
- Thus, a person who weighs 100 pounds on Earth would weigh about 253 pounds on Jupiter, rounding to the nearest whole number.
From the given options, 250 pounds is the closest and most accurate choice.
1. Understand the Concept:
- Weight is the force exerted by gravity on an object.
- The weight of an object can change depending on the gravity of the planet it is on.
2. Gather Relevant Information:
- The gravitational force on Earth is approximately 9.81 m/s².
- The gravitational force on Jupiter is about 24.79 m/s².
3. Calculate the Weight on Jupiter:
- To find the weight on Jupiter, we take the person's weight on Earth and adjust it for the difference in gravitational force between Earth and Jupiter.
4. Formula:
- Weight on Jupiter = Weight on Earth × (Gravity on Jupiter / Gravity on Earth).
5. Apply the Numbers:
- Weight on Earth = 100 pounds.
- Gravity on Earth = 9.81 m/s².
- Gravity on Jupiter = 24.79 m/s².
Substitute these values into the formula:
- Weight on Jupiter = 100 × (24.79 / 9.81).
6. Calculate the Result:
- When you perform this calculation, the result is approximately 252.701 pounds.
7. Conclusion:
- Thus, a person who weighs 100 pounds on Earth would weigh about 253 pounds on Jupiter, rounding to the nearest whole number.
From the given options, 250 pounds is the closest and most accurate choice.
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