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QAIPMT-2006-Ph-2437: NEET 2006 Physics - Class 11 AIPMT-2006-Ph-2437 Solution: A body of mass 3 kg is under a constant force which causes a…

A body of mass 3 kg is under a constant force which causes a displacement s in metres in it, given by the relation s=13t2s=\frac{1}{3}t^2, where t is in seconds. Work done by the force in 2 seconds is

Multiple Choice Options

  • A 195\frac{19}{5} J
  • B 519\frac{5}{19} J
  • C 38\frac{3}{8} J
  • D 83\frac{8}{3} J

Step-by-Step Verified Solution

Acceleration = d 2 s/dt 2 = 2/3 m/s 2 Now force acting on body = mass _ acceleration F = 3 _ (2/3) = 2 Newton Hence displacement in 2 secs = (1/3) _ 2 _ 2 = 4/3 m Finally, work done = 2 _ 4/3 = 8/3 J

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