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A Block of Mass M (M = 1.85 Kg) falls a certain height (2.50 meters) onto a very stiff Spring, and sticks to the spring platform designed to catch it. The Spring compresses, and then starts (2) to vibrate back and forth. Note that the Block will fall onto the Spring, transferring all of its energy into the Spring, and the Spring will be compressed a maximum amount. The Block becomes instantly attached to the Spring, and the Spring will now vibrate up and down with the Box attached. Spring Constant K = 12,500 Newton/meters (a) Calculate the maximum Spring compression in meters (the Spring's Amplitude). (b) Calculate the frequency that the Spring will vibrate (oscillate) immediately after the Block hits and attaches to the spring platform. (c) What is the full up+down distance that the Block will vibrate (twice the Amplitude)? Block M = 1.85 Kg Height H = 2.50 meters Stiff Spring →
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Transcribed Image Text:A Block of Mass M (M = 1.85 Kg) falls a certain height (2.50 meters) onto a very stiff Spring, and sticks to the spring platform designed to catch it. The Spring compresses, and then starts (2) to vibrate back and forth. Note that the Block will fall onto the Spring, transferring all of its energy into the Spring, and the Spring will be compressed a maximum amount. The Block becomes instantly attached to the Spring, and the Spring will now vibrate up and down with the Box attached. Spring Constant K = 12,500 Newton/meters (a) Calculate the maximum Spring compression in meters (the Spring's Amplitude). (b) Calculate the frequency that the Spring will vibrate (oscillate) immediately after the Block hits and attaches to the spring platform. (c) What is the full up+down distance that the Block will vibrate (twice the Amplitude)? Block M = 1.85 Kg Height H = 2.50 meters Stiff Spring →
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