Answer:
The acceleration experienced by the astronauts would be 27908.37142 times the acceleration due to gravity on Earth
Explanation:
t = Time taken
u = Initial velocity = 0
v = Final velocity = 10.97 km/s = 10970 m/s
s = Displacement = 220 m
a = Acceleration
Equation of motion
[tex]v^2-u^2=2as\\\Rightarrow a=\frac{v^2-u^2}{2s}\\\Rightarrow a=\frac{10970^2-^2}{2\times 220}\\\Rightarrow a=273502.04\ m/s^2[/tex]
The magnitude of acceleration is 273502.04 ft/s²
g = 9.80 m/s²
15 g = 15×9.80 = 147 N
[tex]\frac{a}{g}=\frac{273502.04}{9.8}\\\Rightarrow \frac{a}{g}=27908.37142\\\Rightarrow a=27908.37142g[/tex]
So, the acceleration experienced by the astronauts would be 27908.37142 times the acceleration due to gravity on Earth
