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A rather ordinary middle-aged man is in the hospital for a routine checkup. The nurse writes "200" on the patient's medical chart but forgets to include the units. Which of thesequantities could the 200 plausibly represent? The patient's (a) mass in kilograms; (b) height in meters; (c) height in centimeters; (d) height in millimeters; (e) age in months.

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a. $440 \mathrm{lb}$b. $7.9 \times 10^{3}$c. $6.6 \mathrm{ft}$d. 7.9 inches.e. $17 \mathrm{y}$

Physics 101 Mechanics

Chapter 1

Units, Physical Quantities, and Vectors

Section 6

Estimates and Orders of Magnitude

Physics Basics

University of Washington

University of Sheffield

McMaster University

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given the nurse hazard and on two hundred on this sheet, we want to see which of the following quantities is a possible unit for the number two hundred. Let's start with Option A. We know that the person is an ordinary middle aged man. Now, if the two hundred was mass in kilograms, then the person's wade would be two hundred kilograms, which would be four hundred and forty pounds. Because one kilogram is about two point two pound. By multiplying two point two by two hundred, we can see that two hundred kilograms is four hundred and forty pounds. Four hundred forty pound man are two hundred to two hundred kilograms. Is definitely is definitely not an ordinary person. One hundred kilograms. My would not be ordinary goingto option B height in meters. If the person has a height off two hundred meters, we know that upwards of a person who is off height about six feet has fight off about one hundred and eighty two centimetres, which is almost two meters. Two hundred meters would be a hundred six feet. Men start upon each each other, which would almost be the hide off a skyscraper. Hence it is impossible for a person Toby. Off high two hundred meters. We control this safely out. Option C is about the person's height. Incentive itches the person's height being two hundred twenty meters by converting it descent oh, feet and inches. We can see their disease almost six feet and seven inches. This why the person would be very tall. This seems to be the most plausible and alarm, but let's go for Let's go forward on exhausts Other options before coming back to this option, D would be the person's height in millimetres. Two hundred millimeters, as you know, would be twenties and imagers. Twenty centimeters will be about half a feet, about seven inches. A middle aged man definitely cannot be twenty centimeters in height. When David David, this is the hide off a writing book. Almost hence, we can safely rule this out. I'm going to option. He is the person's age in months. If a person has a jaw of two hundred months, then his ageing years would be two hundred by twelve, which will be almost sixteen point seven years. This is definitely not a middle aged man. And speaking to all this out off all these options, the most possible one seems to be the person being six feet and seven inches. But remember that even this is not an ordinary height.

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