When you drop a bowling ball and a ping-pong ball from the same height, the acceleration due to gravity is the same for both objects. This means that they will both accelerate towards the ground at the same rate, regardless of their masses.
The difference between the two objects lies in their masses and surface area. The bowling ball has a greater mass compared to the ping-pong ball. Due to this difference in mass, the bowling ball will experience a greater gravitational force pulling it towards the ground. However, both objects will accelerate at the same rate due to gravity (9.81 m/s² on Earth).
Even though the acceleration is the same, the bowling ball will have a greater force of impact when it hits the ground compared to the ping-pong ball. This is because the bowling ball has more mass, so it carries more momentum as it falls.
In summary, while the acceleration due to gravity is the same for both the bowling ball and ping-pong ball, the impact force upon hitting the ground will differ due to the mass discrepancy between the two objects.