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--- book:chap1:1.4_problems [2021/10/07 06:07] – created jv
+++ book:chap1:1.4_problems [2022/04/01 19:28] (current) – jv
@@ Line 1: / Line 1: @@
+[[basics| 1. Basic Principles]]
+  * [[ 1.1 Basic notions of mechanics ]]
+  * [[ 1.2 Dimensional analysis ]]
+  * [[ 1.3 Order-of-magnitude guesses ]]
+  * ** 1.4 Problems **
+  * [[ 1.5  Further reading ]]
+----
 ===== 1.4 Problems =====
+<WRAP #quest_ >
 Problem 1.6: <wrap hide>\label{quest:DimAnalysis-10}</wrap>
 ** Dimensional Analysis of Flight Trajectories**
@@ Line 6: / Line 16: @@
   -  How does the initial velocity $v_0$ impact the distance $W$ of a thrown object (stone, ball, or shot) or a jump?
   -  How does the initial velocity $v_0$ depend on \\ the force $F$ acting by the responsible muscle \\ the accelerated mass $M$, and \\ the distance $L$ of the path where the acceleration is performed?
-  -  Estimate the maximum distance \\ of throwing a stone of mass $m=200\text{g}$, \\ of a standing jump for a human and a grass hopper.
+  -  Estimate the maximum distance \\ of throwing a stone of mass $m=200\,\text{g}$, \\ of a standing jump for a human and a grass hopper.
   -  Make an explicit analysis of standing jumps by exploring how their distance scales with the ratio of characteristic sizes (i.e., body length) of the jumper.
+</WRAP>
+----
+<WRAP #quest_SIunits-32 >
-Problem 1.7: <wrap hide>\label{quest:SIunits-32}</wrap>
+Problem 1.7:
 ** Water waves **
 \\
-The speed of waves on the ocean depends only on their wave length$L$ and the gravitational acceleration $g \simeq 10\text{m/s$^2$}$.
+The speed of waves on the ocean depends only on
+their wave length $L$ and
+the gravitational acceleration $g \simeq 10\,\text{m/s}^2$.
   -  How does the speed of the waves depend on $L$ and $g$?
   -  Unless it is surfing, the speed of a yacht is limited by its hull speed, i.e. the speed of a wave with wave length identical to the length of the yacht. Estimate the top speed of a 30 ft yacht.
   -  Close to the beach the water depth $H$ become a more important parameter than the wave length. \\ How does the speed of the crest and the trough of the wave differ? \\ What does this imply about the form of the wave?
+</WRAP>
+----
+<WRAP #quest_SIunits-MoonSport >
-Problem 1.8: <wrap hide>\label{quest:SIunits-MoonSport}</wrap>
+Problem 1.8:
 ** Golf on Moon and Earth **
 <WRAP 500px center>
-{{ en:book:chap01:https_blogs-images.forbes.com_kionasmith_files_2019_02_48b362ea93e1f66e6230268814fe094d-1200x630.jpg?direct&500 |}}
+{{ book:chap1:https_blogs-images.forbes.com_kionasmith_files_2019_02_48b362ea93e1f66e6230268814fe094d-1200x630.jpg?direct&500 |}}
 <wrap lo>snapshot retrieved from a NASA movie </wrap>
 </WRAP>
@@ Line 41: / Line 57: @@
   -  Assume that the shot on Earth can go for $500\,\text{m}$, when one neglects friction due to the Earth atmosphere. Estimate the release velocity of the shot and its time of flight.
   -  How long will the golf ball go on Moon, and how long will it fly?
+</WRAP>
-~~DISCUSSION~~
+~~DISCUSSION|Questions, Remarks, and Suggestions~~