Estimate the speed the book was moving before it made contact with Maria's hands.

College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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Maria stands on her bathroom scale and records the reading on the scale as her sister drops a 2.0-kg textbook is dropped into her hands. The reading on the scale every 0.05 seconds is recorded on the graph below.

Estimate the speed the book was moving before it made contact with Maria's hands.

Instructions

In a neat and organized fashion, write out a solution which includes the following:

  1. A sketch of the physical situation with all given physical quantities clearly labeled.
  2. force diagram showing the forces exerted on Maria while she is catching the book, a force diagram showing the forces exerted on the book while it is being caught, and a motion diagram and velocity-time graph representing the motion of the book as it is caught.
  3. Use your representations to determine the speed of the book before it made contact with Maria's hands. Show all steps you take and explain the thought process behind each step as you work.
  4. Evaluate your answer to determine whether it is reasonable or not.
The graph depicts the relationship between time (in seconds) and scale reading (in Newtons). The horizontal axis represents time, ranging from 0 to 1.2 seconds, while the vertical axis represents the scale reading, ranging from 0 to 550 Newtons.

The data points are represented by orange dots, and show that from 0 to 0.6 seconds, the scale reading remains constant at approximately 450 N. From 0.6 to 0.9 seconds, there is an increase in the scale reading, which then stabilizes at around 500 N. From 1.0 seconds onward, the scale reading decreases slightly, stabilizing back near 450 N.

This graph can be used to analyze the stability and fluctuation of force over a brief duration.
Transcribed Image Text:The graph depicts the relationship between time (in seconds) and scale reading (in Newtons). The horizontal axis represents time, ranging from 0 to 1.2 seconds, while the vertical axis represents the scale reading, ranging from 0 to 550 Newtons. The data points are represented by orange dots, and show that from 0 to 0.6 seconds, the scale reading remains constant at approximately 450 N. From 0.6 to 0.9 seconds, there is an increase in the scale reading, which then stabilizes at around 500 N. From 1.0 seconds onward, the scale reading decreases slightly, stabilizing back near 450 N. This graph can be used to analyze the stability and fluctuation of force over a brief duration.
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