Given two objects of the same mass but of different sizes, the one that has a greater density is: a. the smaller object
Due to the density of an object is the relation that exist between the mass and the space that the object occupies, if we have two objects with the same mass the one that is going to have a greater density is the smaller object because it occupies less space with more mass.
We can prove it using the density formula to solve the following exercise:
Two objects have a mass of 100 g, and their volume are 20 cm³ and 10 cm³ respectively, what is the density of each one?
The general formula of the density is:
d = m/v
Where:
- d= density
- m= mass
- v= volume
Information about the problem:
- m = 100 g
- v1= 20 cm³
- v2=10 cm³
- d1=?
- d2?
Applying the density formula we get:
d = m/v
d1 = 100g/20 cm³
d1 = 5g/cm³
d2 = 100g/10 cm³
d2 = 10g/cm³
With the results we can confirm that the object that has the greater density is the smaller, because it has less volume.
<h3>What is density?</h3>
It is a physical quantity that expresses the ratio of the body mass to the volume it occupies.
Learn more about density in: brainly.com/question/1354972
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