Calculate the upthrust on an object of volume 50cm3 which is immersed in liquid of density \(10^{3}\) kgm-3 [g = 10ms-2]

A.

0.8N

B.

2.5N

C.

0.5N

D.

1.0N

Correct answer is C

Upthrust = change in weight

density = \(\frac{\text{mass}}{\text{volume}}\)

Mass of liquid displaced = Density of Liquid × Volume;

= \(10^{3} \times 50 \times 10^{−6}m^{3}\)

= 0.05kg

(Note that the volume of \(50cm^{3}\) was converted to \(m^{3}\) by multiplying by \(10^{6}\)) i.e \(50cm^{3} = 50 \times 10^{−6}m^{3}\)

Since mass displaced = 0.05kg

Upthrust = mg = 0.05 × 10

= 0.5N