Negating air resistance, a block weighing 1.0 kg will fall _________ a 3.0 kg block
Answer: The same rate as
at the same acceleration as (one g about 9.8 m/s^2)
To understand why the 1.0 kg and 3.0 kg blocks fall at the same rate when there is no air resistance, we need to consider Newton's second law of motion.
Newton's second law states that the force acting on an object is equal to its mass multiplied by its acceleration. Mathematically, it can be expressed as F = m * a, where F is the force, m is the mass, and a is the acceleration.
When objects fall, the force acting on them is equal to their weight, which is the product of their mass (m) and the acceleration due to gravity (g). Since we're neglecting air resistance in this scenario, both objects experience the same acceleration due to gravity, which is approximately 9.8 m/s².
Therefore, the force acting on the 1.0 kg block is (1.0 kg) * (9.8 m/s²) = 9.8 N, and the force acting on the 3.0 kg block is (3.0 kg) * (9.8 m/s²) = 29.4 N.
Since both blocks experience the same gravitational force, their acceleration will be the same. This means that both blocks will fall at the same rate, regardless of their individual masses.
Therefore, the correct answer is that the block weighing 1.0 kg will fall at the same rate as the 3.0 kg block when neglecting air resistance.