Work Power and Energy 1 Question 9
10. A particle of mass $0.2 kg$ is moving in one dimension under a force that delivers a constant power $0.5 W$ to the particle. If the initial speed (in $ms^{-1}$ ) of the particle is zero, the speed (in $ms^{-1}$ ) after $5 s$ is
(2013 Adv.)
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Answer:
Correct Answer: 10. 5
Solution:
- As, $W=\frac{1}{2} m v^{2}$
So, $\quad P t=\frac{1}{2} m v^{2}$
$$ \begin{aligned} \therefore \quad v & =\sqrt{\frac{2 P t}{m}} \\ & =\sqrt{\frac{2 \times 0.5 \times 5}{0.2}}=5 m / s \end{aligned} $$