TS EAMCET · Physics · Work Power Energy
A boat of mass \(1000 \mathrm{~kg}\) goes from rest to speed \(20.0 \mathrm{~m} / \mathrm{s}\) in \(5.0 \mathrm{~s}\). The water exerts a constant drag force and the acceleration of the boat is constant. If the average power required by the boat is \(45000 \mathrm{~W}\), then the magnitude of the drag force is
- A \(500 \mathrm{~N}\)
- B \(750 \mathrm{~N}\)
- C \(250 \mathrm{~N}\)
- D \(1000 \mathrm{~N}\)
Answer & Solution
Correct Answer
(A) \(500 \mathrm{~N}\)
Step-by-step Solution
Detailed explanation
\(\mathrm{a}=\frac{\mathrm{v}-\mathrm{u}}{\mathrm{t}}=\frac{20-0}{5}=4 \mathrm{~m} / \mathrm{s}^2\) \[ \mathrm{P}_{\mathrm{av}}=\frac{\text { Work done }}{\text { time taken }}=\frac{\mathrm{F}_{\text {boat }} \times \mathrm{S}}{\mathrm{t}} \] Now,…
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