Calculate the upthrust on an object of volume 50cm3 which is immersed in liquid ...
Question
Calculate the upthrust on an object of volume 50cm3 which is immersed in liquid of density 103kgm-3 [g = 10ms-2]Options
A)
0.8N
B)
2.5N
C)
0.5N

D)
1.0N
Related Lesson: Density and Archimedes’ Principle | Fluid Statics
The correct answer is C.
Explanation:
Upthrust = change in weight
density = \(\frac{\text{mass}}{\text{volume}}\)
Mass of liquid displaced = Density of Liquid × Volume;
= 103 × 50 × 10− 6m3
= 0.05kg
(Note that the volume of 50cm3 was converted to m3 by multiplying by 106) i.e 50cm3 = 50 × 10−6m3)
Since mass displaced = 0.05kg
Upthrust = mg = 0.05 × 10
= 0.5N
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Upthrust = change in weight
density = \(\frac{\text{mass}}{\text{volume}}\)
Mass of liquid displaced = Density of Liquid × Volume;
= 103 × 50 × 10− 6m3
= 0.05kg
(Note that the volume of 50cm3 was converted to m3 by multiplying by 106) i.e 50cm3 = 50 × 10−6m3)
Since mass displaced = 0.05kg
Upthrust = mg = 0.05 × 10
= 0.5N