You are asked to ind the density of a liquid. you take an iron sphere of diameter 10cm (density of iron 7800kg/m^3). you measure the weight of the sphere using a spring balance. when the sphere is completely inside the liquid the spring balance reads 30N. Calculate the density of the liquid. Will an aluminium block (density of aluminium 2700 kg/m^3) of mass 0.5kg sink or float in the liquid?

College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
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You are asked to ind the density of a liquid. you take an iron sphere of diameter 10cm (density of iron 7800kg/m^3). you measure the weight of the sphere using a spring balance. when the sphere is completely inside the liquid the spring balance reads 30N. Calculate the density of the liquid. Will an aluminium block (density of aluminium 2700 kg/m^3) of mass 0.5kg sink or float in the liquid?

Expert Solution
Step 1

The diameter of the iron sphere (d) = 10 cm.

So the radius of the iron sphere (r) = d/2 = 5 cm.

The density of the iron (ρ) = 7800 kg/m3.

The mass (M) of the sphere can be calculated using the density formula,

Physics homework question answer, step 1, image 1

Here, V denotes the volume of the iron sphere.

Physics homework question answer, step 1, image 2

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