Cracking the AP Physics 1 Exam 2020, Premium Edition by The Princeton Review
Author:The Princeton Review
Language: eng
Format: epub
Publisher: Random House Children's Books
Published: 2019-09-09T16:00:00+00:00
Solution. If the system exhibits simple harmonic motion, then the period and frequency are independent of amplitude. This is because the same spring and block were used in the two trials, so the period and frequency will have the same values in the second trial as they had in the first. But the maximum speed of the block will be greater in the second trial than in the first. Since the amplitude is greater in the second trial, the system possesses more total energy (E = kA2). So when the block is passing through equilibrium (its position of greatest speed), the second system has more energy to convert to kinetic, meaning that the block will have a greater speed. In fact, from Example 2, we know that vmax = so, since A is twice as great in the second trial than in the first, vmax will be twice as great in the second trial than in the first.
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