A raindrop of mass m is falling through a cloud. The mass of the raindrop increases by an amount Am per unit distance of its fall, where A is a positive constant. Complete the following problems if the raindrop starts from rest with mass mo. (a) Show that the mass of the raindrop after it has fallen through a distance r is mo edz. (b) Taking downward as positive in your calculation, show by using the rocket equation that the velocity of the raindrop after falling through a distance r is given by (1- e-2^=) V =

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. A raindrop of mass m is falling through a cloud. The mass of the raindrop increases by an
amount Am per unit distance of its fall, where A is a positive constant. Complete the following
problems if the raindrop starts from rest with mass mo.
(a) Show that the mass of the raindrop after it has fallen through a distance r is mo edz.
(b) Taking downward as positive in your calculation, show by using the rocket equation that
the velocity of the raindrop after falling through a distance r is given by
=V (1-e-2^)
Transcribed Image Text:. A raindrop of mass m is falling through a cloud. The mass of the raindrop increases by an amount Am per unit distance of its fall, where A is a positive constant. Complete the following problems if the raindrop starts from rest with mass mo. (a) Show that the mass of the raindrop after it has fallen through a distance r is mo edz. (b) Taking downward as positive in your calculation, show by using the rocket equation that the velocity of the raindrop after falling through a distance r is given by =V (1-e-2^)
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