Question

N9M.9 During volcanic eruptions, chunks of solid rock can be blasted out of a volcano: these projectiles are called volcanic blocks. Imagine that during an eruption of Mount St. Helens (a volcano in Washington state) a block lands near an observing station that is located 2.5 km east of and 900 m below the summit. Assume that air drag is negli- gible and that the block was ejected from the summit at a 35 angle from the horizontal. Find (a) its initial speed and (b) its time of flight. (c) Imagine that this particular block is a cube of rock about 1 m on a side: such a block would have a mass of about 3000 kg. Is drag really negligible for this block at the launch speed you calculated for part (a)? (d) Use the Newton application to find (by trial and error) the block's actual initial velocity and time of flight. (Hint: Calculate bin the expression Fol/m bl2)

Answer 1

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MONDAY MAY DAY 147-218 WEEK 22 MONDAY 27 Thousand 19 Given - vertical distance th= goom =o-glem horizontal - = d = 2.5 km = 2.5 km con 350 from horisontal. Now, the horizontal distance covered by the projectile is ginen - An= ucus (o) xt - © reath for vertical motion is written as by = u(sin co) xt - 11 gt² - 2 It by 0 4 ay = uen (0) * do Ab = ucos (ox Ax ucas (0) - 14 34 ) ди Ucos(Q) Ay = An fan (@) - 11,9t? t = 12 (04 - qn ton (m) t = 126 95 - servitan 38) ( goo - 25ooktan 35). -9.81 time a Might II 20 PS S T 3 W 5 T 6 F 7 1 2 S S M T W T F S S M T W T F S S M T W T F S S 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 the power to connect the seemingly unconnected 4

Caps Lock As 2 Thousand 1 21 2 Thousand 19 28 TUESDAY MAY DAY 148-217 WEEK 22 8.00 300 Now, by 0 9.00 9.00 13:16 t = An- ucos(o) 20o 21 xws (35) 10.00 10.00 11.00 11.00 12.00 12.00 12E 231.510 m/s (Au). This is initial speed Aho suppose a particular block of cube about i'm on a side is considered of Cose drag is really negligible. 100 100 - of rock for this type 2.00 2.00 3.00 3.00 4.00