Question

1. is object e or object f more dense? assume the particles are uniformly distributed throughout each object, and particles with a larger size have a larger mass. explain your reasoning.

Explanation:

Step1: Recall density formula

Density $
ho=\frac{m}{V}$, where $m$ is mass and $V$ is volume. Given same - volume objects (since they are of the same shape and size), mass determines density.

Step2: Analyze particle mass and number

Object E has larger and more particles. Larger particles have larger mass and more particles mean more total mass. Since $V_E = V_F$ and $m_E>m_F$ (due to larger and more particles in E), from $
ho=\frac{m}{V}$, we have $
ho_E>
ho_F$.

Answer:

Object E is more dense because it has larger and more particles, resulting in a greater mass for the same volume as object F.