Moderate

A ship of mass 3 x 10^7kg initially at rest is pulled by a force of 5 x 10^4N through a distance of 3m. Assuming that the resistance due to water is negligible, the speed of the ship is?

Correct answer: C. 0.1m/s

  • A. 1.5 m/s
  • B. 60 m/s
  • C. 0.1m/s
  • D. 5 m/s

Explanation

Step 1: Acceleration of the ship, Applying Newton's law, F=maa= m/F = 5×10 4/3×10 7 = 5/ ×10−3 m/s2Step 2: Final speed of the shipUsing 3rd equation of motion,v2−u2 =2as v2−02 =2×5/3×10−3 m/s2 ×3mv2 =10−2v=0.1m/sHence, option (C) is correct.

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