MCQ
A body is moved from rest along $a$ straight line by $a$ machine delivering constant power. The ratio of displacement and velocity $(s/v)$ varies with time $t$ as :
- ✓
- B
- C
- D
✓
Answer
Correct option: A.
a
$w=\Delta K \cdot E \Rightarrow P t=\frac{1}{2} m v^{2}, v=\sqrt{\frac{2 P t}{m}}$
$w=\Delta K \cdot E \Rightarrow P t=\frac{1}{2} m v^{2}, v=\sqrt{\frac{2 P t}{m}}$
$\frac{d s}{d t}=\sqrt{\frac{2 P}{m}} t^{1 / 2}$
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