How does mass affect density? Choose all that apply
a. As the mass of an object increases, the density of the object increases.
b. As the mass of an object increases, the density of the object decreases.
c. As the mass of an object decreases, the density of the object increases.
d. As the mass of an object decreases, the density of the object decreases.
density = mass/volume
That is, density is proportional to mass
so, with constant volume, greater(smaller) mass means greater(smaller) density
science
To determine how mass affects density, we need to understand the definition of density. Density is defined as the mass of an object divided by its volume. So, to find the density of an object, we divide its mass by its volume.
Now let's consider the options given:
a. As the mass of an object increases, the density of the object increases:
To test this statement, we can imagine two objects with the same volume. If we increase the mass of one object while keeping the volume constant, the density of that object will indeed increase. Therefore, option (a) is correct.
b. As the mass of an object increases, the density of the object decreases:
Using the same reasoning as above, if we increase the mass of an object with a constant volume, the density will actually increase rather than decrease. Therefore, option (b) is incorrect.
c. As the mass of an object decreases, the density of the object increases:
This statement implies that for a given volume, if we decrease the mass of an object, the density will increase. However, this is not true. If we decrease the mass of an object while keeping the volume constant, the density will actually decrease. Therefore, option (c) is incorrect.
d. As the mass of an object decreases, the density of the object decreases:
This statement implies that if we decrease the mass of an object with a constant volume, the density will decrease. Using the definition of density, we can see that this statement is correct. So, option (d) is correct.
Therefore, the correct answer is options (a) and (d):
a. As the mass of an object increases, the density of the object increases.
d. As the mass of an object decreases, the density of the object decreases.