ExamBro
ExamBro
AP EAMCET · PHYSICS · Work Power Energy

The kinetic energy of a car is doubled when its velocity is increased by \(1 \mathrm{~ms}^{-1}\). Then the initial velocity of the car is

  1. A \((2+\sqrt{2}) \mathrm{ms}^{-1}\)
  2. B \((1-\sqrt{2}) \mathrm{ms}^{-1}\)
  3. C \((2-\sqrt{2}) \mathrm{ms}^{-1}\)
  4. D \((1+\sqrt{2}) \mathrm{ms}^{-1}\)
Verified Solution

Answer & Solution

Correct Answer

(D) \((1+\sqrt{2}) \mathrm{ms}^{-1}\)

Step-by-step Solution

Detailed explanation

Let initial velocity \(=\mathrm{v}\) When velocity is increases by \(1 \mathrm{~m} / \mathrm{s}\) \(\mathrm{v}^{\prime}=\mathrm{v}+1\) then \(\mathrm{KE}=2 \mathrm{E}\) \(\frac{2 \mathrm{E}}{\mathrm{E}}=\frac{\frac{1}{2} \mathrm{~m}(\mathrm{v}+1)^2}{\frac{1}{2} \mathrm{mv}^2}\)…
Same subject
Explore more questions on app