Suppose you weigh 157 pounds in Paris. How much weight would you lose in traveling from Paris, where [tex] g = 9.8095 \, \text{m/s}^2 [/tex], to Cayenne, where [tex] g = 9.7808 \, \text{m/s}^2 [/tex]?

To calculate the weight lost when traveling from Paris to Cayenne, we need to determine the difference in gravitational acceleration (g) between the two locations and apply it to the weight (mass) of the person.

Weight is the product of mass (m) and gravitational acceleration (g). In Paris, the gravitational acceleration is given as 9.8095 m/s^2, while in Cayenne, it is 9.7808 m/s^2. The weight lost during the journey can be calculated by finding the difference in gravitational acceleration and applying it to the initial weight.

First, convert the weight from pounds to kilograms. Then, use the formula:

Weight lost = (Weight in Paris) * (Change in gravitational acceleration)

To calculate the change in gravitational acceleration, subtract the gravitational acceleration in Cayenne from the gravitational acceleration in Paris. Multiply the weight in Paris by the change in gravitational acceleration to obtain the weight lost.

Therefore, by considering the difference in gravitational acceleration and applying it to the initial weight, we can determine the weight lost when traveling from Paris to Cayenne.

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