Question

tuesday
nb pg 39
bellringer: week 11
answer the bellringer in complete sentences.

1. a rock has a mass of 150 g and a volume of 50 cm³. what is the density of the rock?
2. two seeds have the same volume of 5 cm³. one has a mass of 8 g, and the other 6 g. which seed is denser?

Explanation:

Step1: Recall the density formula

Density ($
ho$) is calculated as $
ho=\frac{m}{V}$, where $m$ is mass and $V$ is volume.

Step2: Solve for the rock's density

Given $m = 150\ g$ and $V=50\ cm^{3}$. Substitute into the formula: $
ho=\frac{150\ g}{50\ cm^{3}} = 3\ g/cm^{3}$.

Step3: Calculate the density of each seed

For the first seed: $m_1 = 8\ g$, $V = 5\ cm^{3}$, $
ho_1=\frac{8\ g}{5\ cm^{3}}=1.6\ g/cm^{3}$.
For the second seed: $m_2 = 6\ g$, $V = 5\ cm^{3}$, $
ho_2=\frac{6\ g}{5\ cm^{3}} = 1.2\ g/cm^{3}$.

Step4: Compare the seed densities

Since $1.6\ g/cm^{3}>1.2\ g/cm^{3}$, the seed with a mass of $8\ g$ is denser.

Answer:

1. The density of the rock is $3\ g/cm^{3}$.
2. The seed with a mass of $8\ g$ is denser.