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A cyclist is coasting at 12 m/s when she comes to a muddy stretch with an effective coefficient of friction of 0.60. Will the cyclist be able to get out of the muddy stretch without having to pedal if it lasts 10 meters

Respuesta :

onyebuchinnaji

The cyclist will make it since the distance  traveled by the cyclist is greater than the length of the muddy stretch.

The given parameters;

  • speed of the cyclist, u = 12 m/s
  • coefficient of friction, μ = 0.6
  • length of the muddy stretch, L = 10 m

The effective acceleration of the cyclist at the given coefficient of friction is calculated as follows;

[tex]a = \ \mu g\\\\a = 0.6 \times 9.8\\\\a = 5.88 \ m/s^2[/tex]

The distance traveled by the cyclist at the give speed and acceleration is calculated as;

[tex]v^2 = u^2 + 2as\\\\12^2 = 0 + 2(5.88)s \\\\ 11.76 s = 144\\\\ s = \frac{144}{11.76} \\\\a = 12.24 \ m[/tex]

Thus, we can conclude that the cyclist will make it since the distance  traveled by the cyclist is greater than the length of the muddy stretch.

Learn more here:https://brainly.com/question/14121363

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