BIO Escaping Octopus The giant Pacific octopus ( Enteroctopus dofleini ) has a typical mass of 15 kg and can propel itself by means of a water jet when frightened (a) If it expels water at a mass rate of 24 kg/s27 m/s what thrust can it generate'? (b) If the seawater exerts a resistive force of 18 N on the octopus, what acceleration can it achieve? (c) If the octopus maintains its jet propulsion for 3.0 s, what maximum velocity can it attain?
BIO Escaping Octopus The giant Pacific octopus ( Enteroctopus dofleini ) has a typical mass of 15 kg and can propel itself by means of a water jet when frightened (a) If it expels water at a mass rate of 24 kg/s27 m/s what thrust can it generate'? (b) If the seawater exerts a resistive force of 18 N on the octopus, what acceleration can it achieve? (c) If the octopus maintains its jet propulsion for 3.0 s, what maximum velocity can it attain?
BIO Escaping Octopus The giant Pacific octopus (Enteroctopus dofleini) has a typical mass of 15 kg and can propel itself by means of a water jet when frightened (a) If it expels water at a mass rate of 24 kg/s27 m/s what thrust can it generate'? (b) If the seawater exerts a resistive force of 18 N on the octopus, what acceleration can it achieve? (c) If the octopus maintains its jet propulsion for 3.0 s, what maximum velocity can it attain?
SARET CRKS AUTOWAY
12. A stone is dropped from the top of a cliff. It is seen to hit the ground below
after 3.55 s. How high is the cliff?
13. A ball is dropped from rest at the top of a building that is 320 m tall. Assuming
no air resistance, what is the speed of the ball just before it strikes the ground?
14. Estimate (a) how long it took King Kong to fall straight down from the top
of the Empire State Building (280m high), and (b) his velocity just before
"landing".
Useful equations
For Constant Velocity:
V =>
D
X = V₁t + Xo
For Constant Acceleration:
Vr = V + at
X = Xo+Vot +
v=V+2a(X-Xo)
\prom = V +V
V velocity
t = time
D Distance
X = Final Position
Xo Initial Position
V = Final Velocity
Vo Initial Velocity
a = acceleration
For free fall
Yf
= Final Position
Yo Initial Position
g = 9.80
m
$2
For free fall:
V = V + gt
Y=Yo+Vo t +
+gt
V,² = V₁²+2g (Y-Yo)
V+Vo
Vprom=
2
6
Solve the problems
A 11 kg weight is attached to a spring with constant k = 99 N/m and subjected to an external force
F(t) =-704 sin(5t). The weight is initially displaced 4 meters above equilibrium and given an
upward velocity of 5 m/s. Find its displacement for t> 0.
y(t)
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