Determining the force of something that is dropped.

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To determine the force of an object when it strikes the ground after being dropped, it's essential to consider the characteristics of both the object and the surface it impacts. The impact force is influenced by the hardness of the object and the surface, as well as the duration of the impact. The formula Force * Time equals the change in momentum can be utilized, with initial momentum calculated from the equations of motion. Estimating the time of impact is crucial, and knowing the velocity at the moment of impact may suffice, rather than needing the acceleration. Accurate calculations require specific data about the objects and surfaces involved.
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What formula might I use to determine the force something has when it strikes the ground after being dropped? I initially thought to just use F=ma, but I can't just plug in 9.8m/s^2, cause that would yeild the same answer regardless of the height it was dropped from.

Any help?

Thanks,
Jacob
 
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You need to know some characteristics of the impact. The harder the object and the surface, the shorter the impact, and therefore, the higher the force.
 
It depends on the time over over which it occurs, which will depend on the object and what it is landing on (there will be a much larger force if it lands on concrete as opposed to ice cream (mmm.. ice cream)).. But if you can estimate that, then Force * Time is equal to the change in momentum of the object. You can work out its inital momentum using the equations of motion, and assume that its final momentum is equal to zero (unless it is bouncy).
 
So it'd be pretty impossible to figure it out unless you had data for the specific objects and surfaces you were dealing with, right? If I could figure out the time of the impact, would I also need to know the acceleration at the initial point of impact, or would velocity be enough?
 
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