JEE Mains · Physics · STD 11 - 5. work,energy,power and collision
A constant Power delivering machine has towed a box, which was initially at rest, along a horizontal straight line. The distance moved by the box in time \('t'\) is proportional to
- A \(t^{2 / 3}\)
- B \(t ^{3 / 2}\)
- C \(t\)
- D \(t ^{1 / 2}\)
Answer & Solution
Correct Answer
(B) \(t ^{3 / 2}\)
Step-by-step Solution
Detailed explanation
\(P=C\) \(F V=C\) \(M \frac{d V}{d t} V=C\) \(\frac{V^{2}}{2} \propto t\) \(V \propto t^{1 / 2}\) \(\frac{d x}{d t} \propto t^{1 / 2}\) \(x \propto t^{3 / 2}\)
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