AP EAMCET · PHYSICS · Work Power Energy
The velocity \(v\) reached by a car of mass \(m\) at certain distance from the starting point driven with constant power \(P\) is such that
- A \(v \propto \frac{3 P}{m}\)
- B \(v^2 \propto \frac{3 P}{m}\)
- C \(v^3 \propto \frac{2 P}{m}\)
- D \(v \propto\left(\frac{3 P}{m}\right)^2\)
Answer & Solution
Correct Answer
(C) \(v^3 \propto \frac{2 P}{m}\)
Step-by-step Solution
Detailed explanation
\(P=\frac{\frac{1}{2} m v^2}{t} \Rightarrow v^2=\frac{2 P t}{m} \Rightarrow v^2 \propto \frac{2 P}{m}\)
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