AhdOmer
September 20, 2022, 11:40am
#1
A stone of density 5.20 g / cm^3 and volume 200 cm^3 is completely submerged in a liquid of density 1.20 g / cm^3 .
.
What is the magnitude of the upthrust acting on the stone?

[gravitational field strength = 10.0 N / kg]

A. 6.40 N
B. 2.00 N
C. 10.4 N
D. 8.00 N
E. 2.40 N

AhdOmer
September 20, 2022, 11:49am
#2
The upthrust force is produced or performed by the liquid . As per it’s density we will be able to see how much force it exerts onto the stone.

If the liquid takes 1.20 g for every 1 cm^3 , then it should be able to withstand 240 g for the 200 cm^3 of the liquid.

We should now convert this mass into weight, first by converting it Kg’s and then into Newtons.

240g= 0.24 Kg

10N for every 1 kg means that for 0.24 Kg we have 2.4N.

We can therefore conclude the liquid exerts an upwards force of 2.4 N onto the stone- and our answer is E .