Question
When walking on ice, one should take short steps rather than long steps. Why?

Answer

Let R represent the reaction offered by the ground. The vertical component $\text{R}\cos\theta$will balance the weight of the person and the horizontal component $\text{R}\sin\theta$ will help the person to walk forward. Now, normal reaction $=\text{R}\cos\theta$ Friction force $=\text{R}\sin\theta$ Coefficient of friction, $\mu=\frac{\text{R}\sin\theta}{\text{R}\cos\theta}=\tan\theta$ In a long step, $\theta$ is more. So tan $\theta$ is more. But µ has a fixed value. So, there is danger of slipping in a long step.

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