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A block of mass l0 kg moving in x direction with a constant speed of l0 ms-1 is subjected to a retarding force F = 0.1x J/m during its travel from x = 20 m to 30 m. Its final KE will be

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Detailed Solution

Using work--energy theorem, Wtotal= ∆KW = 12m(v2-u2)⇒12mv2 = W+12mu2W = ∫2030F.dx = ∫20300.1.x.dx= -0.1∫2030x dx + 12×10×102= -25 J + 500 J = 475 J

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