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In: Physics

Consider a 4-mg raindrop that falls from a cloud at a height of 2 km. Part...

Consider a 4-mg raindrop that falls from a cloud at a height of 2 km.

Part a) If we neglect air resistance, what would be the speed of the raindrop when it reaches the ground? Assume that the falling raindrop maintains its shape so that no energy is lost to the deformation of the droplet.

________ m/s

Part b) When the raindrop reaches the ground, it won't kill you or even bruise you because its terminal velocity is just 10 m/s. Calculate the work done by the air resistance on the raindrop. Recall that positive work done on an object/system increases the energy of that object/system. Again, assume that the falling raindrop maintains its shape so that no energy is lost to the deformation of the droplet.

________ Joules

Part c) What percentage of the raindrop's initial mechanical energy was lost to air resistance? (Based on your answers, ask yourself if you think it is reasonable to ignore air resistance when evaluating the fall of a raindrop from the sky.)

________ %

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