During volcanic eruptions, chunks of solid rock can be blasted out of the volcan

Question

During volcanic eruptions, chunks of solid rock can be blasted out of the volcano; these projectiles are called volcanic bombs. Figure 4-51 shows a cross section of Mt. Fuji, in Japan. (a) At what initial speed would a bomb have to be ejected, at angle ?0 = 37° to the horizontal, from the vent at A in order to fall at the foot of the volcano at B, at vertical distance h = 2.90 km and horizontal distance d = 8.90 km? Ignore, for the moment, the effects of air on the bomb's travel. (b) What would be the time of flight?

Explanation / Answer

Step1 Horizontal range = u^2 sin2 /g

Step2 u^2 = 2900 x9.8 /sin74 ; u= 171.95m/s

Step3 Time of flight = 2usin/g = 21.12s

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