A hammer and a feather are dropped from the same height. Imagine that there is no resistance to the objects' motion in air. Which value will be different for the two objects?
The value that will be different for the two objects is the time it takes for them to reach the ground.
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The value that will be different for the two objects is the time it takes for them to reach the ground. This can be explained by understanding the concept of free fall and the effects of air resistance.
When an object is dropped from a certain height, it falls under the influence of gravity. In the absence of air resistance, the only force acting on an object is its weight, which is determined by mass and acts in the downward direction. Both the hammer and the feather experience the same gravitational force and therefore have the same acceleration due to gravity.
According to Newton's laws of motion, when an object is in free fall, it undergoes constant acceleration. This means that its speed increases at a constant rate as it falls. However, due to the difference in mass, the hammer has a greater inertia compared to the feather. Inertia is the resistance an object has to changes in its motion. The greater the mass, the greater the inertia.
Because of its greater inertia, the hammer requires more force to accelerate compared to the feather. As a result, the hammer takes a shorter time to reach the ground. The feather, being lighter and having less inertia, accelerates more easily and takes a longer time to fall to the ground.
Therefore, in the absence of air resistance, the time it takes for the hammer and the feather to reach the ground will be different, while the acceleration due to gravity remains the same for both objects.