A 61.5 kg circus performer is fired from a cannon that is - elevated at an angle of 58.3 above the horizontal. The cannon uses strong elastic bands to propel the performer, much in the same way that a slingshot fires a stone. Setting up for this stunt involves stretching the bands by 2.17 m from their unstrained length. At the point where the performer flies free of the bands, his height above the floor is the same as that of the net into which he is shot. He takes 3.14 s to travel the horizontal distance of 29.9 m between this point and the net. Ignore friction and air resistance and determine the effective spring constant of the firing mechanism.

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A 61.5 - kg circus performer is
fired from a cannon that is
elevated at an angle of 58.3 above
the horizontal. The cannon uses
strong elastic bands to propel the
performer, much in the same way
that a slingshot fires a stone.
Setting up for this stunt involves
stretching the bands by 2.17 m
from their unstrained length. At
the point where the performer
flies free of the bands, his height
above the floor is the same as that
of the net into which he is shot.
He takes 3.14 s to travel the
horizontal distance of 29.9 m
between this point and the net .
Ignore friction and air resistance
and determine the effective
spring constant of the firing
mechanism .
Transcribed Image Text:A 61.5 - kg circus performer is fired from a cannon that is elevated at an angle of 58.3 above the horizontal. The cannon uses strong elastic bands to propel the performer, much in the same way that a slingshot fires a stone. Setting up for this stunt involves stretching the bands by 2.17 m from their unstrained length. At the point where the performer flies free of the bands, his height above the floor is the same as that of the net into which he is shot. He takes 3.14 s to travel the horizontal distance of 29.9 m between this point and the net . Ignore friction and air resistance and determine the effective spring constant of the firing mechanism .
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