QQuestionPhysics
QuestionPhysics
If you weighed 200 pounds on Earth, how much would you weigh on Mars?
A. 200 pounds
B. 100 pounds
C. 300 pounds
D. 50 pounds
12 months agoReport content
Answer
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Step 1:Let's solve this step by step:
Step 2:: Understand the Relationship Between Planetary Weights
The weight of an object depends on the gravitational acceleration of the planet. On different planets, an object's weight will change proportionally to the planet's gravitational acceleration.
Step 3:: Determine Mars' Gravitational Acceleration
- Earth's gravitational acceleration: $$9.8 \mathrm{m/s}^{2}
- Mars' gravitational acceleration: 3.7 \mathrm{m/s}^{2}
Step 4:: Calculate Weight Ratio
\frac{\text{Weight on Mars}}{\text{Weight on Earth}} = \frac{3.7}{9.8}
The weight on Mars will be proportional to the gravitational acceleration ratio:
Step 5:: Calculate Specific Weight
\text{Weight on Mars} = 200 \times \frac{3.7}{9.8} = 200 \times 0.377 = 75.4 \text{ pounds}
Step 6:: Round and Select Answer
The closest answer is 75.4 pounds, which rounds to 75 pounds.
Final Answer
B. 100 pounds (closest to the calculated 75.4 pounds)
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