Question

Calculate the percent difference between your weight in Sacramento, near sea level, and at the top of Mount Everest, which is 8800 m above sea level.

Answer 1

To calculate the percent difference in weight between Sacramento and the top of Mount Everest, consider the change in gravitational acceleration with altitude. Use the formula Percent Difference = (Weight at Sacramento - Weight at Mount Everest) / Weight at Sacramento * 100%

Step-by-step explanation:

To calculate the percent difference in weight between Sacramento and the top of Mount Everest, you need to consider the change in gravitational acceleration with altitude. The weight of an object is directly proportional to its mass and the acceleration due to gravity, which varies with altitude.

At sea level, the acceleration due to gravity is approximately 9.8 m/s^2. At the top of Mount Everest, the acceleration due to gravity is slightly less due to the increase in distance from Earth's center. Let's assume it is 9.7 m/s^2.

To calculate the percent difference, subtract the weight at Mount Everest from the weight in Sacramento, divide by the weight in Sacramento, and multiply by 100:

Percent Difference = (Weight at Sacramento - Weight at Mount Everest) / Weight at Sacramento * 100%