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how much work is done in raising a stone of mass 5 kg and relative density 3 lying at the bed at the of a lake through height of 3 meter? (taking g = 10 10m/s square )?????
(a) 25 j (b) 100j
(c) 75j (d) none of the above....
net force = W - boyancy
ds , dw are dencity of stone & water respectively & V is volume of stone then ,
boyancy = dwVg
W = mg = dsVg
Fnet = Vg(ds-dw)
Fnet = ma = dsVg
a = g(1-dw/ds)
relative dencity = ds/dw = 2 (given)
so ,a = g/2
now work is done against this force
work = maX (X displacement)
=5*(g/2)3 = 75j
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