Three objects are released to the ground while the mass and net force of each is recorded. Air resistance is assumed to be negligible. Which statement is correct about all three objects?(1 point)

No statements can be made about the objects without measuring the acceleration of each.

The ratio of mass to acceleration is constant across all objects.

The ratio of net force to mass is constant across all objects.

The ratio of net force to acceleration is constant across all objects.

C) The ratio of net force to mass is constant across all objects.

The correct statement about all three objects is:

The ratio of net force to acceleration is constant across all objects.

To determine the correct statement about all three objects, we need to analyze the concept of Newton's second law of motion, which states that force is equal to the product of mass and acceleration (F = ma).

If the mass and net force of each object are recorded, we can use Newton's second law to form ratios that will help us identify the correct statement.

Statement 1 suggests that without measuring the acceleration of each object, no conclusions can be drawn. However, this is not entirely accurate. While we will need to measure the acceleration of each object to obtain precise values, we can still make comparisons based on the ratios of the recorded values.

Statement 2 states that the ratio of mass to acceleration is constant across all objects. However, this is not true since the mass of each object can differ, leading to variations in acceleration.

Statement 3 argues that the ratio of net force to mass is constant across all objects. According to Newton's second law, force (F) is directly proportional to mass (m). Therefore, if the mass of the object changes, the force required to produce a certain acceleration will also change. Hence, this statement is incorrect.

Statement 4 asserts that the ratio of net force to acceleration is constant across all objects. This aligns with Newton's second law, where force (F) is directly proportional to acceleration (a) when mass (m) is constant. In other words, a constant net force will produce the same acceleration across objects with the same mass. Therefore, the correct statement is:

The ratio of net force to acceleration is constant across all objects.

They all accelerate down at about g = 9.81 m/s^2

F = m a = m g
so F/a = F/g = m = constant