QUESTION IMAGE
Question
| planet/moon | your mass (kg) | gravitational pull (m/s²) | your weight (n) | your weight in pounds (weight in n × 0.2248) |
|---|---|---|---|---|
| earth | 910460... | 9.8 | 706 | (empty) |
| sun | 4.61×10^... | 274 | 5768 | (empty) |
| jupiter | 43.460... | 25.9 | 442.04 | (empty) |
| mercury | 43.460... | 3.73 | 74.28 | (empty) |
| neptune | 93.460... | 11.28 | 230.72 | (empty) |
To solve for "Your Weight in pounds" for each celestial body, we use the formula:
\( \text{Weight in pounds} = \text{Your Weight (N)} \times 0.2248 \)
Earth:
Step1: Identify values
Weight (N) = 706, Conversion factor = 0.2248
Step2: Calculate
\( 706 \times 0.2248 \approx 158.71 \)
Moon:
Step1: Identify values
Weight (N) = 34.33, Conversion factor = 0.2248
Step2: Calculate
\( 34.33 \times 0.2248 \approx 7.72 \)
Sun:
Step1: Identify values
Weight (N) = 5768, Conversion factor = 0.2248
Step2: Calculate
\( 5768 \times 0.2248 \approx 1296.65 \)
Jupiter:
Step1: Identify values
Weight (N) = 1920.4, Conversion factor = 0.2248
Step2: Calculate
\( 1920.4 \times 0.2248 \approx 431.71 \)
Mercury:
Step1: Identify values
Weight (N) = 74.28, Conversion factor = 0.2248
Step2: Calculate
\( 74.28 \times 0.2248 \approx 16.70 \)
Neptune:
Step1: Identify values
Weight (N) = 230.72, Conversion factor = 0.2248
Step2: Calculate
\( 230.72 \times 0.2248 \approx 51.87 \)
Final Weights (pounds):
- Earth: \( \approx 158.71 \)
- Moon: \( \approx 7.72 \)
- Sun: \( \approx 1296.65 \)
- Jupiter: \( \approx 431.71 \)
- Mercury: \( \approx 16.70 \)
- Neptune: \( \approx 51.87 \)
(Note: Values are rounded to two decimal places.)
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To solve for "Your Weight in pounds" for each celestial body, we use the formula:
\( \text{Weight in pounds} = \text{Your Weight (N)} \times 0.2248 \)
Earth:
Step1: Identify values
Weight (N) = 706, Conversion factor = 0.2248
Step2: Calculate
\( 706 \times 0.2248 \approx 158.71 \)
Moon:
Step1: Identify values
Weight (N) = 34.33, Conversion factor = 0.2248
Step2: Calculate
\( 34.33 \times 0.2248 \approx 7.72 \)
Sun:
Step1: Identify values
Weight (N) = 5768, Conversion factor = 0.2248
Step2: Calculate
\( 5768 \times 0.2248 \approx 1296.65 \)
Jupiter:
Step1: Identify values
Weight (N) = 1920.4, Conversion factor = 0.2248
Step2: Calculate
\( 1920.4 \times 0.2248 \approx 431.71 \)
Mercury:
Step1: Identify values
Weight (N) = 74.28, Conversion factor = 0.2248
Step2: Calculate
\( 74.28 \times 0.2248 \approx 16.70 \)
Neptune:
Step1: Identify values
Weight (N) = 230.72, Conversion factor = 0.2248
Step2: Calculate
\( 230.72 \times 0.2248 \approx 51.87 \)
Final Weights (pounds):
- Earth: \( \approx 158.71 \)
- Moon: \( \approx 7.72 \)
- Sun: \( \approx 1296.65 \)
- Jupiter: \( \approx 431.71 \)
- Mercury: \( \approx 16.70 \)
- Neptune: \( \approx 51.87 \)
(Note: Values are rounded to two decimal places.)