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A 90.6-kg climber is scaling the vertical wall of a mountain. His safety rope is made of a material that, when stretched, behaves like a spring with a spring constant of 1.33 x 103 N/m. He accidentally slips and falls freely for 0.997 m before the rope runs out of slack. How much is the rope stretched when it breaks his fall and momentarily brings him to rest?

A spring is compressed by 0.0709 m and is used to launch an object horizontally with a speed of 3.06 m/s. If the object were attached to the spring, at what angular frequency (in rad/s) would it oscillate?

 

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