C HW AC Chapter 11 Item 13 ou are part of a searchand rescue mission that has be
ID: 2034794 • Letter: C
Question
C HW AC Chapter 11 Item 13 ou are part of a searchand rescue mission that has been called out to look for a ost explorer. You've lound the missing explores, but you're separated from him by a 200-m high diff and a 30-m wide raging river To save his He, you need to get a 48 kg package of emergency supplies Part A What minimum speed must the rocket have junt betore impact in order to save the éxplorer's lle? Express yow answer to ewo significent figures and include the appropriate units Uorly, you can't trow the pacdage hand enough to make R across Fortunately, you happen to have a 12 kg rocket intended for launching fares improvsing quickly you atach a sharpened sick to the package of supples then tre the rocket at ground level oward the supplies (Figare 1) Value UnitsExplanation / Answer
Given,
The height of the cliff y = 200 m
horizontal distance x = 30 m
y = 1/2 a t ^2
-200 = 0.5(-9.81)(t^2)
t = 6.38 sec, to fall 200 m
x = vt
30 = v (6.38)
v = 4.7 m/s
Therefore the package must be traveling 4.7 m/s horizontally at the top of the cliff to get across the raging river of death
From law of conservation momentum
( mR + mP)(4.7) = mR vR
therefore
vR = (1.2 + 4.8) (4.7) = 28.2 m/s
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