COMEDK · Physics · 5. Laws of Motion
When a car of mass \(m\) is moving with speed \(v\) along a circle of radius \(r\) on a level road, the centripetal force is provided by \(f\), where \(f\) denotes
\(\left(\mu_{s} \rightarrow\right.\) coefficient of friction, \(N \rightarrow\) normal reaction)
- A \(\dfrac{m v^{2}}{r}=f \leq \mu_{s} N\)
- B \(f < \mu_{s}=\dfrac{m v^{2}}{r}\)
- C \(f=\mu_{s} N=\dfrac{m v^{2}}{r}\)
- D \(f=\mu_{k} N=\dfrac{m v^{2}}{r}\)
Answer & Solution
Correct Answer
(A) \(\dfrac{m v^{2}}{r}=f \leq \mu_{s} N\)
Step-by-step Solution
Detailed explanation
For a car of mass \(m\) moving in a circular path of radius \(r\) with speed \(v\) on a level road, the centripetal force required is given by \(F_{c} = \dfrac{mv^{2}}{r}\). On a level road, this centripetal force is provided by the static frictional force \(f\) acting between…
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