AP EAMCET · PHYSICS · Work Power Energy
A car of mass 2000 kg is accelerating from rest. If its engine is supplying constant power of 10 kW, then the velocity of the car at a time of 10 s is
- A \(15 \mathrm{~m} \mathrm{~s}^{-1}\)
- B \(20 \mathrm{~m} \mathrm{~s}^{-1}\)
- C \(5 \mathrm{~m} \mathrm{~s}^{-1}\)
- D \(10 \mathrm{~m} \mathrm{~s}^{-1}\)
Answer & Solution
Correct Answer
(D) \(10 \mathrm{~m} \mathrm{~s}^{-1}\)
Step-by-step Solution
Detailed explanation
\(P t = \frac{1}{2} m v^2\) \(v = \sqrt{\frac{2 P t}{m}}\) \(v = \sqrt{\frac{2 \times 10000 \times 10}{2000}}\) \(v = 10 \mathrm{~m} \mathrm{~s}^{-1}\)
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