TS EAMCET · Physics · Work Power Energy
When the engine is switched off a vehicle of mass \(M\) is moving on a rough horizontal road with momentum \(p\). If the coefficient of friction between the road and tyres of the vehicle is \(\mu_k\), the distance travelled by the vehicle before it comes to rest is
- A \(\frac{p^2}{2 \mu_k M^2 g}\)
- B \(\frac{2 \mu_k M^2 g}{p^2}\)
- C \(\frac{p^2}{2 \mu_k g}\)
- D \(\frac{p^2 M^2}{2 \mu_k g}\)
Answer & Solution
Correct Answer
(A) \(\frac{p^2}{2 \mu_k M^2 g}\)
Step-by-step Solution
Detailed explanation
We have, \(\mu_k m g s=\frac{p^2}{2 M}\) or \(s=\frac{p^2}{2 M^2 \mu_k g}\)
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