Acceleration due to gravity doesn't depend on density . Example if we consider two balls of one of metal and other plastic and allow it to fall from same height at same time so both balls will reach the earth surface at the same time and with same velocities .So acceleration due to gravity doesn't depend on density .

Acceleration due to gravity, g = GM/R^2... But Mass of earth(M) = Volume of earth(V) × density of earth(p).. Hence, g = GVp/R^2 ===》 g is directly proportional to density of earth

Effect of Earth's Density on Acceleration Due to Gravity

Gravity is the force that pulls objects towards the center of the Earth. The acceleration due to gravity, denoted as 'g,' is a measure of how quickly an object accelerates towards the Earth when it falls freely. The value of acceleration due to gravity is influenced by the density of the Earth.

Density of the Earth
- The Earth is not uniform in density; it varies from the surface to the core.
- The Earth's core is denser than the outer layers, which affects the overall density of the planet.

Effect on Acceleration Due to Gravity
- The acceleration due to gravity is directly proportional to the mass of the Earth and inversely proportional to the square of the distance between the object and the center of the Earth.
- As density increases, the mass of the Earth also increases, leading to a higher gravitational force on objects at the surface.
- Therefore, areas with higher density will experience a slightly higher acceleration due to gravity compared to areas with lower density.

Impact on Measurements
- Scientists take into account the variations in density when calculating the acceleration due to gravity in different locations on Earth.
- Understanding the Earth's density helps in accurately predicting gravitational effects on objects and phenomena on the surface.

In conclusion, the density of the Earth plays a crucial role in determining the acceleration due to gravity. It is important to consider the variations in density when studying gravitational forces and their impact on different regions of the Earth.