A woman lies on her back and raises her head up off the floor. When doing so, the total tension force in her neck muscles is 50.0 N. The same woman now is sliding feet first down a water slide. The slide makes a circular curve, where the outside wall of the slide is vertical but the curve itself is in the horizontal plane, and the radius of the curve is 2.40 m. While sliding along this curve, the woman's speed is 3.50 m/s. The woman raises her head from the wall of the slide and holds it steady, looking forward.

At this moment, what is the total tension (in N) in the woman's neck muscles?

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nuuk nuuk · Answer 1 · 2019-08-08T13:24:37+02:00

Answer:56.31 N

Explanation:

When women is horizontal

[tex]F=ma_g[/tex]

When sliding at speed of 3.5 m/s

she experience a radial acceleration =[tex]\frac{v^2}{r}[/tex]

[tex]a_r=\frac{3.50^2}{2.4}=5.104 m/s^2[/tex]

[tex]a_{resultant}[/tex] will be sum of radial and gravitational acceleration

[tex]a_{resultant}=\sqrt{a_g^2+a_r^2}=11.049 m/s^2[/tex]

[tex]a_{resultant}=1.126a_g[/tex]

Total tension in women neck

[tex]F'=ma_{resultant}[/tex]=1.126F=56.31 N