A solid of weigh 50gf in air and the 44gf when completely immersed in water.calculate
(i) the Upthrust
(ii) volume of the solid
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Explanation:
Let m be the mass of the object.
Actual weight of the object, W = 50 gf = 50g N
Apparent weight of the object, Wa = 44 gf = 44g N
Let the buoyancy be B.
Now,
Wa = W – B
=> B = 50g – 44g
=> B = 6g N
This is the upthrust of the object.
Let ‘d’ be the density of the object, and ‘V’ be its volume.
Weight, W = Vdg = 50g
=> Vd = 50
The buoyancy is given by,
B = V(density of water)g
=> B = V(1000)g = 6g
=> V = 6/1000 = 0.006 m3
This is the volume of the object.
Now, Vd = 50
=> d = 50/V = 50/0.006
=> d = 8333.33 kg/m3
This is the density of the solid.
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