5 Steps to a 5: AP Physics C 2021 by Greg Jacobs

5 Steps to a 5: AP Physics C 2021 by Greg Jacobs

Author:Greg Jacobs
Language: eng
Format: epub
Publisher: McGraw-Hill Education
Published: 2021-02-15T00:00:00+00:00


A block with a mass of 10 kg is placed on the end of a spring that is hung from the ceiling. When the block is attached to the spring, the spring is stretched out 20 cm from its rest position. The block is then pulled down an additional 5 cm and released. What is the block’s period of oscillation, and what is the speed of the block when it passes through its rest position?

Let’s think about how to solve this problem methodically. We need to find two values, a period and a speed. Period should be pretty easy—all we need to know is the mass of the block (which we’re given) and the spring constant, and then we can plug into the formula. What about the speed? That’s going to be a conservation of energy problem—potential energy in the stretched-out spring gets converted to kinetic energy—and here again, to calculate the potential energy, we need to know the spring constant. So let’s start by calculating that.

First, we draw our free-body diagram of the block.



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