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.
the ratio of net force to mass is constant across all objects.
To determine which statement is correct about all three objects, we need to analyze the relationship between the given variables: mass, net force, and acceleration.
The first statement, "No statements can be made about the objects without measuring the acceleration of each," is incorrect. While measuring the acceleration will provide more specific information about the objects, other relationships can still be determined without measuring the acceleration directly.
The second statement, "The ratio of mass to acceleration is constant across all objects," is incorrect. Newton's second law of motion states that the acceleration of an object is directly proportional to the net force acting on it and inversely proportional to its mass. The acceleration will vary depending on the net force applied and the mass of each object.
The third statement, "The ratio of net force to mass is constant across all objects," is correct. According to Newton's second law of motion, the acceleration of an object is equal to the net force divided by the mass of the object (a = F/m). Therefore, the ratio of net force to mass is constant across all objects.
The fourth statement, "The ratio of net force to acceleration is constant across all objects," is incorrect. As stated earlier, the acceleration of an object is directly proportional to the net force and inversely proportional to the object's mass. Therefore, the ratio of net force to acceleration will vary among the objects depending on their mass.
In conclusion, the correct statement about all three objects is: "The ratio of net force to mass is constant across all objects."