A 6.5-kg bowling ball is attached to the end of a nylon (Young's modulus 3.7x10 N/m²) cord with a cross-sectional area of 3.8x10¹³ m². The other end of the cord is fixed to the ceiling. When the bowling ball is pulled to one side and released from rest, it swings downward in a circular arc. At the instant it reaches its lowest point, the bowling ball is 1.3 m lower than the point it was released from, and the cord is stretched 2.6x10 m from its unstrained length. What is the unstrained length of the cord? Hint: When calculating any quantity other than the strain, ignore the increase in length of the cord.

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A 6.5-kg bowling ball is attached to the end of a nylon (Young's modulus 3.7x10 N/m²) cord with a cross-sectional area of 3.8x105 m²
The other end of the cord is fixed to the ceiling. When the bowling ball is pulled to one side and released from rest, it swings downward
in a circular arc. At the instant it reaches its lowest point, the bowling ball is 1.3 m lower than the point it was released from, and the
cord is stretched 2.6x10 m from its unstrained length. What is the unstrained length of the cord?
Hint: When calculating any quantity other than the strain, ignore the increase in length of the cord.
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Transcribed Image Text:A 6.5-kg bowling ball is attached to the end of a nylon (Young's modulus 3.7x10 N/m²) cord with a cross-sectional area of 3.8x105 m² The other end of the cord is fixed to the ceiling. When the bowling ball is pulled to one side and released from rest, it swings downward in a circular arc. At the instant it reaches its lowest point, the bowling ball is 1.3 m lower than the point it was released from, and the cord is stretched 2.6x10 m from its unstrained length. What is the unstrained length of the cord? Hint: When calculating any quantity other than the strain, ignore the increase in length of the cord. Number I Units to Mes - My
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