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 blockâs period of oscillation, and what is the speed of the block when it passes through its rest position?
Letâs think about how to solve this problem methodically. We need to find two values, a period and a speed. Period should be pretty easyâall we need to know is the mass of the block (which weâre given) and the spring constant, and then we can plug into the formula. What about the speed? Thatâs going to be a conservation of energy problemâpotential energy in the stretched-out spring gets converted to kinetic energyâand here again, to calculate the potential energy, we need to know the spring constant. So letâs start by calculating that.
First, we draw our free-body diagram of the block.
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