Answer:
the maximum speed Rey could safely attain while keeping acceleration on her body below 6 g's is 91.65 m/s
Explanation:
Using the approach of Centripetal acceleration:
[tex]a=\frac{ V^2}{R}[/tex]
Given that:
acceleration on her body below 6 g
(i.e a < 6g)
[tex]6 = \frac{V^2}{R}[/tex]
where;
R = radius of curvature = 1.4 km = 1400 m
[tex]V^2 = 6*1400[/tex]
[tex]V^2 = 8400[/tex]
[tex]V = \sqrt{8400}[/tex]
V = 91.65 m/s
Thus; the maximum speed Rey could safely attain while keeping acceleration on her body below 6 g's is 91.65 m/s
Answer:
The maximum velocity is [tex]v= 287 m/s[/tex]
Explanation:
From the question we are told that
The radius of curvature is [tex]r = 1.4 \ km[/tex]
The acceleration of the body is [tex]a = 6 g = 6 * 9.8 = 58.8 \ m/s^2[/tex]
Generally the centripetal acceleration of this body is mathematically represented as
[tex]a_c = \frac{v^2}{r}[/tex]
and from the question we are told that [tex]a_c \le (6g = 58.8 m/s^2)[/tex]
Which implies that
[tex]58.8 = \frac{v^2}{r}[/tex]
Substituting values
[tex]58.8 = \frac{v^2}{1400}[/tex]
=> [tex]v= \sqrt{58.8 * 1400}[/tex]
[tex]v= 287 m/s[/tex]
