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= [ . . b the ball’s speed at point B. 30. 3 I A heavy-duty stapling gun uses a 0.140-kg metal rod that rams against the staple to eject it. The rod is attached to and pushed by a stiff spring called a “ram spring” (k = 32 000 N/m). The mass of this spring may be ignored. The ram spring 1s compressed by 3.0 X 1072 m from its unstrained length and then released from rest. Assuming that the ram spring is oriented vertically and 1s still compressed by 0.8 X 1072 m when the downward-moving ram hits the staple, find the speed of the ram at the instant of contact. 31. [ A rifle fires 2 2.10 X 10_2-kg pellet straight upward, because the pellet rests on a compressed spring that is released when the trigger 1s pulled. The spring has a negligible mass and 1s compressed by 9.10 X 1072 m from its unstrained length. The pellet rises to a maximum height of 6.10 m above its position on the compressed spring. Ignoring air resistance, determine the spring constant. 32. 3 ED A 1.00 x 10™2-kg block is resting on a horizontal frictionless surface and is attached to a horizontal spring whose spring constant is 124 N/m. The block 1s shoved parallel to the spring axis and 18 given an initial speed of 8.00 m/s, while the spring is initially unstrained. What 1s the amplitude of the resulting simple harmonic motion? 33.00 An 86.0-kg climber is scaling the vertical wall of a mountain. His safety rope 1s made of nylon that, when stretched, behaves like a spring with a spring constant of 1.20 X 103 N/m. He accidentally slips and falls freely for 0.750 m before the rope runs out of slack. How much 1s the rope stretched when it breaks his fall and momentarilv brinos him to