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A particle A of mass 10/7 kg is moving in the positive direction of x. Its initial position is x=0 & initial velocity is 1 m/s. the velocity at x=10, if its power varies with position as show in the figure

a
4 m/s
b
2 m/s
c
32  m/s
d
100/3   m/s

detailed solution

Correct option is A

Area under P-x graphs =∫1vpdx=∫1v(mdvdt)vdx ∫1vmv2  dv=[mv33]1v=107×3(v3−1) From graph : area =12(2+4)×10=30 ∴107×3(v3−1)=30 ∴  v=4m/s

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