Problem 10: While watching the clouds pass by, you notice a European swallow flying horizontally at a height of h = 21.95 m. When the swallow is directly overhead, it drops an m = 10.5 kg coconut. Refer to the diagram. From your ornithological studies, you know that the air-speed of this particular species of swallow, while carrying such a load, is vo = 6.93 m/s. Neglect air resistance. Assume that your head is at the origin of the coordinate system. Part (a) Calculate the magnitude, in kilogram squared meters per second, of the angular momentum of the coconut, as observed by you, at the moment it is released directly overhead. L= 1597.19 L= 1597 V Correct! Part (b) Let 7 be the time-dependent position vector of the coconut with time measured from the instant it was released by the swallow. Enter an expression for its horizontal component as a function of time. r(1) = vot vCorrect! Part (c) Enter an expression, in unit vector notation, for the time-dependent velocity vector, v(1), of the coconut. v(r) = vo i - gtj V Correct! Part (d) Calculate the magnitude, in kilogram squared meters per second, of the angular momentum of the coconut as observed by you at t = 1.0 s. L= 1954.01 L = 1954 V Correct! Part (e) Calculate the magnitude, in kilogram squared meters per second, of the coconut as observed by you immediately before it hits the ground. L = kg - m²/s
Problem 10: While watching the clouds pass by, you notice a European swallow flying horizontally at a height of h = 21.95 m. When the swallow is directly overhead, it drops an m = 10.5 kg coconut. Refer to the diagram. From your ornithological studies, you know that the air-speed of this particular species of swallow, while carrying such a load, is vo = 6.93 m/s. Neglect air resistance. Assume that your head is at the origin of the coordinate system. Part (a) Calculate the magnitude, in kilogram squared meters per second, of the angular momentum of the coconut, as observed by you, at the moment it is released directly overhead. L= 1597.19 L= 1597 V Correct! Part (b) Let 7 be the time-dependent position vector of the coconut with time measured from the instant it was released by the swallow. Enter an expression for its horizontal component as a function of time. r(1) = vot vCorrect! Part (c) Enter an expression, in unit vector notation, for the time-dependent velocity vector, v(1), of the coconut. v(r) = vo i - gtj V Correct! Part (d) Calculate the magnitude, in kilogram squared meters per second, of the angular momentum of the coconut as observed by you at t = 1.0 s. L= 1954.01 L = 1954 V Correct! Part (e) Calculate the magnitude, in kilogram squared meters per second, of the coconut as observed by you immediately before it hits the ground. L = kg - m²/s
Principles of Physics: A Calculus-Based Text
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Transcribed Image Text:Problem 10: While watching the clouds pass by, you notice a European swallow flying
horizontally at a height of h = 21.95 m. When the swallow is directly overhead, it drops an
m = 10.5 kg coconut. Refer to the diagram. From your ornithological studies, you know that
the air-speed of this particular species of swallow, while carrying such a load, is vo = 6.93 m/s.
Neglect air resistance. Assume that your head is at the origin of the coordinate system.
Part (a) Calculate the magnitude, in kilogram squared meters per second, of the angular momentum of the coconut, as observed by you, at the
moment it is released directly overhead.
L = 1597.19
L= 1597
V Correct!
Part (b) Let
7 be the time-dependent position vector of the coconut with time measured from the instant it was released by the swallow. Enter an expression for its
horizontal component as a function of time.
r(1) = vot v Correct!
Part (c) Enter an expression, in unit vector notation, for the time-dependent velocity vector,
v(1), of the coconut.
v(1) = vo i - gtj V Correct!
Part (d) Calculate the magnitude, in kilogram squared meters per second, of the angular momentum of the coconut as observed by you at
t = 1.0 s.
L= 1954.01
L = 1954 V Correct!
Part (e) Calculate the magnitude, in kilogram squared meters per second, of the coconut as observed by you immediately before it hits the ground.
L =
kg - m²/s
sin()
cos()
tan()
7
8
9 HOME
cotan()
asin()
acos()
E
4
5
6.
atan()
acotan()
sinh()
1
2
3
cosh()
tanh()
cotanh()
END
-
O Degrees O Radians
Vd BACKSPACE
DE CLEAR
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