Answer: 0.41%
Explanation:
If we want to calculate the percentage decrease (the reduction) in weight of an airplane, we can use the given values of gravity, because the weight is directly proportional to the gravity acceleration.
Now the formula for the percentage decrease for ths case is:
[tex]\% weightdecrease=\frac{g_{sea}-g_{13000m}}{g_{sea}}(100)[/tex]
Where:
[tex]g_{sea}=9.807 m/s^{2}[/tex] is the gravity at sea level
[tex]g_{13000m}=9.767 m/s^{2}[/tex] is the gravity at 13000 m
[tex]\% weightdecrease=\frac{9.807 m/s^{2} - 9.767 m/s^{2}}{9.807 m/s^{2}}(100)[/tex]
[tex]\% weightdecrease=0.00407 (100)[/tex]
[tex]\% weightdecrease=0.407 \% \approx 0.41 \%[/tex] This is the percentage reduction in the weight of an airplane
