Work Energy and Power - Result Question 6

8. A body of mass 3kg is under a constant force which causes a displacement s in metres in it, given by the relation s=13t2, where t is in seconds. Work done by the force in 2 seconds is

[2006]

(a) 38J

(b) 83J

(c) 195J

(d) 519J

Show Answer

Answer:

Correct Answer: 8. (b)

Solution:

  1. (b) Acceleration =d2sdt2=23m/s2

Case (b): Suppose the two springs stretched by distance xP and xQ by the same force F.

 Then, F=kpxp2=kQxQ

Force acting on the body

=3×23=2 newton

Displacement in 2 secs =13×2×2=43m

Work done =2×43=83J

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