SOS: Pendulum and Spring Problems

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The discussion revolves around solving physics problems related to pendulums and springs, specifically focusing on calculating amplitude, maximum kinetic energy, spring compression, and kinetic energy just before impact. The first problem requires determining the amplitude of a pendulum with given mass and length, while the second problem involves calculating its maximum kinetic energy. The third problem addresses the compression of a spring when a mass is dropped from a certain height, and the fourth problem calculates the kinetic energy of the mass just before it hits the spring. The original poster expresses frustration due to a lack of instruction from their teacher and seeks guidance on these concepts. The conversation emphasizes the application of formulas and the conservation of energy principles to solve these problems.
hydrophobicmermaid
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I would be SOOO grateful if anyone could tell me how to accomplish these problems. My teacher has never gone over any of this, though I might be making it more complicated than need-be...


1) A pendulum has a mass of 2.6 kg, a length of 2.3 meters, and swings through a (half)arc of 16.8 degrees. What is its amplitude to the nearest centimeter?

2) To the nearest tenth of a Joule, what is its maximum kinetic energy of the pendulum in problem 1?

3) A mass of 2.1 kg is dropped from a height of 3.27 meters above a vertical spring anchored at its lower end to the floor. If the spring constant is 25 N/cm, how far, to the nearest tenth of a cm, is the spring compressed?

4) If the top of the spring in the preceding problem is 1.24 meters above the ground when the mass is released, what is the ball's kinetic energy, to the nearest Joule, just before the mass strikes the spring?


Thanks sooo much!
Sara
 
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What have you tried thus far?
 
Some clue

1)x=R\theta

2), 3) and 4) Using the conservation of energy.[/color]
 

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