(a) Choose the package as the system. What is the rate of change of the momentum of the system? dp/dt- kg. m/s/s A helicopter flies to the right (in the +x direction) at a constant speed of 18 m/s, parallel to the surface of the ocean. A 1450 kg package of supplies is suspended below the helicopter by a cable as shown in the figure: the package is also traveling to the right in a straight line, at a constant speed of 10 m/s. (b) List all the objects that are exerting forces on the package. (Note that "gravity" is not an object.) O Earth O helicopter O air O cable (d) What is the magnitude of the tension in the cable supporting the package? Carefully show all steps in your work. IFcablel-[ N (c) Represent the package as a dot. Draw a careful force diagram ("free-body diagram") showing all the forces acting on the package. You should have the same number of arrows as you had objects in your list in part (b), and the tail of each arrow should be on the package. Label each force with the name of the object exerting the force. (e) Write the force exerted on the package by the cable as a vector. Peable- N 11 m (f) What is the magnitude of the force exerted by the air on the package? Parl-[ N bond 4.5 m (a) Write the force on the package by the air as a vector. N (h) The pilot is concerned about whether or not the cable, whose breaking strength is listed at 14400 N, is strong enough to support this package under these circumstances. Will the cable break? O no O yes

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Chapter1: Units, Trigonometry. And Vectors
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(a) Choose the package as the system. What is the rate of change of the momentum of the system?
dp/dt=
kg. m/s/s
A helicopter flies to the right (in the +x direction) at a constant speed of 18 m/s, parallel to the surface of the ocean. A 1450 kg package of supplies is suspended below the helicopter by a cable as shown in the figure: the package is also traveling to the right in a straight line, at a
constant speed of 18 m/s.
(b) List all the objects that are exerting forces on the package. (Note that "gravity" is not an object.)
O Earth
O helicopter
O air
O cable
(d) What is the magnitude of the tension in the cable supporting the package? Carefully show all steps in your work.
|Fcablel =
N
(c) Represent the pack as a dot. Draw a careful force diagram ("free-body diagram") showing all the forces acting on the package. You should have the same number of arrows as you had objects in your list in part (b), and the tail of each arrow should be on the package. Label
each force with the name of the object exerting the force.
(e) Write the force exerted on the package by the cable as a vector.
N
cable
(f) What is the magnitude of the force exerted by the air on the package?
|Fairl =
N
11 m
(g) Write the force on the package by the air as a vector.
Fair
14
4.5 m
N
(h) The pilot is concerned about whether or not the cable, whose breaking strength is listed at 14400 N, is strong enough to support this package under these circumstances. Will the cable break?
O no
O yes.
Transcribed Image Text:(a) Choose the package as the system. What is the rate of change of the momentum of the system? dp/dt= kg. m/s/s A helicopter flies to the right (in the +x direction) at a constant speed of 18 m/s, parallel to the surface of the ocean. A 1450 kg package of supplies is suspended below the helicopter by a cable as shown in the figure: the package is also traveling to the right in a straight line, at a constant speed of 18 m/s. (b) List all the objects that are exerting forces on the package. (Note that "gravity" is not an object.) O Earth O helicopter O air O cable (d) What is the magnitude of the tension in the cable supporting the package? Carefully show all steps in your work. |Fcablel = N (c) Represent the pack as a dot. Draw a careful force diagram ("free-body diagram") showing all the forces acting on the package. You should have the same number of arrows as you had objects in your list in part (b), and the tail of each arrow should be on the package. Label each force with the name of the object exerting the force. (e) Write the force exerted on the package by the cable as a vector. N cable (f) What is the magnitude of the force exerted by the air on the package? |Fairl = N 11 m (g) Write the force on the package by the air as a vector. Fair 14 4.5 m N (h) The pilot is concerned about whether or not the cable, whose breaking strength is listed at 14400 N, is strong enough to support this package under these circumstances. Will the cable break? O no O yes.
A ball of mass 660 g hangs from a spring whose stiffness is 120 newtons per meter. A string is attached to the ball and you are pulling the string to the right, so that the ball hangs motionless, as shown in the figure. In this situation the spring is stretched, and its length is 15 cm.
I
mmmmm
mmmmmm
F
8 cm
What would be the relaxed length of the spring, if it were detached from the ball and laid on a table?
X cm
Transcribed Image Text:A ball of mass 660 g hangs from a spring whose stiffness is 120 newtons per meter. A string is attached to the ball and you are pulling the string to the right, so that the ball hangs motionless, as shown in the figure. In this situation the spring is stretched, and its length is 15 cm. I mmmmm mmmmmm F 8 cm What would be the relaxed length of the spring, if it were detached from the ball and laid on a table? X cm
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