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A person jumps from a height on soft sand. Which one of the following is the correct reason for less likely injury to the person?
Explanation
According to Newton's Second Law of Motion, the force exerted on an object is equal to the rate of change of its momentum (F = Δp/Δt). When a person jumps from a height onto soft sand, the sand yields and the person's feet sink into it. This action increases the impact time (Δt) taken for the person to come to a complete stop. Since the change in momentum (Δp) is fixed by the person's mass and velocity at impact, a larger time interval (Δt) results in a smaller impulsive force acting on the body. This reduction in the impact force is what makes injury less likely. On a hard floor, the time of impact is extremely short, resulting in a much larger force that can cause fractures or other injuries.