A helicopter flies to the right (in the + x direction) at a constant speed of 12

Question

A helicopter flies to the right (in the +x direction) at a constant speed of 12 m/s, parallel to the surface of the ocean. A 1100 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 12 m/s.

(a) Choose the package as the system. What is the rate of change of the momentum of the system?

(b) List all the objects that are exerting forces on the package. (Note that "gravity" is not an object.)

cable

helicopter

air

Earth

(h)

The pilot is concerned about whether or not the cable, whose breaking strength is listed at 11900 N, is strong enough to support this package under these circumstances. Will the cable break?

no

yes   

Another group records that when they release a 0.174 kg mass on a spring from a distance of 0.03 m from equilibrium, the period is 1.20 s.

If they were to release the mass from a distance of 0.09 m from equilibrium instead, what would the new period be? ______ s.

Explanation / Answer

a) the rate of change of the momentum = 11647.248 * sin22.25

                                                                = 4410.21 kg · m/s/s

b) cable , air , earth .

d)   magnitude of the tension in the cable =   1100 * 9.8/cos22.25

                                                                  = 11647.248 N

e) the force exerted on the package by the cable as a vector = (4410.21 i + 10780 j) N

f) the magnitude of the force exerted by the air on the package = 11647.248 * sin22.25

                                                                                                    =   4410.21 N

g)   force on the package by the air as a vector   = - 4410.21 i   N

h)   No, the cable will not break .

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