Final answer:
The statement that equal forces result in the same acceleration is false, as acceleration also depends on the mass of the objects. According to Newton's second law, two objects with different masses will have different accelerations when subjected to the same force.
Step-by-step explanation:
The statement 'if two objects are under the influence of equal forces, they have the same acceleration' is false, as acceleration is not only dependent on the force but also the mass of the object. According to Newton's second law, acceleration (a) of an object is directly proportional to the net force (F) acting on it and inversely proportional to its mass (m), which can be expressed as a = F/m. Therefore, two objects subjected to equal forces will only have the same acceleration if they also have the same mass.
For example, let us consider two objects, object A with mass 2 kg and object B with mass 4 kg, both experiencing a force of 10 N. Applying Newton's second law, the acceleration for object A would be 5 m/s2 (10 N / 2 kg), and the acceleration for object B would be 2.5 m/s2 (10 N / 4 kg). As seen from this example, despite the equal forces, the accelerations are different due to the difference in mass.