Merge pull request #1268 from duffee/Doppler-Nuclear-Work-corrections

drdrew42 · web-flow · commit 4905523b60f7 · 2025-06-18T14:47:48.000-07:00
Corrections to College Physics Urone textbook questions
diff --git a/Contrib/BrockPhysics/College_Physics_Urone/15.Thermodynamics/Carnots_Perfect_Heat_Engine_The_Second_Law_of_Thermodynamics_Restated/NU_U17-15-04-004.pg b/Contrib/BrockPhysics/College_Physics_Urone/15.Thermodynamics/Carnots_Perfect_Heat_Engine_The_Second_Law_of_Thermodynamics_Restated/NU_U17-15-04-004.pg
@@ -47,15 +47,15 @@ $PAR
 
 $PAR
 
-Steam locomotives have an efficiency of \($eff\)\(\textrm{%}\) and operate with a hot steam temperature of \($temp^{\circ}\textrm{C}\) .
+Steam locomotives have an efficiency of \($eff \, \mathrm{%}\) and operate with a hot steam temperature of \($temp^{\circ}\mathrm{C}\) .
 
 $PAR
 
 a) What would the cold reservoir temperature be if this were a Carnot engine?
 
 $PAR
 
-\{ans_rule(40)\} \(^{\circ}\textrm{C}\)
+\{ans_rule(40)\} \(^{\circ}\mathrm{C}\)
 
 $PAR
 
@@ -70,11 +70,11 @@ BEGIN_TEXT
 
 $PAR
 
-b) What would the maximum efficiency of this steam engine be if its cold reservoir temperature were \($temp2^{\circ}\textrm{C}\)?
+b) What would the maximum efficiency of this steam engine be if its cold reservoir temperature were \($temp2^{\circ}\mathrm{C}\)?
 
 $PAR
 
-\{ans_rule(40)\} \(\textrm{%}\)
+\{ans_rule(40)\} \(\mathrm{%}\)
 
 $PAR
 
@@ -85,4 +85,4 @@ Context() -> normalStrings;
 ANS(num_cmp("$A2"));
 
 
-ENDDOCUMENT()
+ENDDOCUMENT()
diff --git a/Contrib/BrockPhysics/College_Physics_Urone/17.Physics_of_Hearing/17-04.Doppler_Effect/NU_U17_17_04_001.pg b/Contrib/BrockPhysics/College_Physics_Urone/17.Physics_of_Hearing/17-04.Doppler_Effect/NU_U17_17_04_001.pg
@@ -50,10 +50,10 @@ $PAR
 
 
 a) What frequency is received by a person watching an oncoming ambulance moving
-at \($vskm \, \(\textrm{km/h}\) and emitting a steady \($fs \, \(\textrm{Hz}\) sound from its siren? The speed of sound on this day is \($vw \, \(\textrm{m/s}\).
+at \($vskm \, \mathrm{km/h}\) and emitting a steady \($fs \, \mathrm{Hz}\) sound from its siren? The speed of sound on this day is \($vw \, \mathrm{m/s}\).
 $PAR
 
-\{ans_rule(40)\} \(\textrm{Hz}\)
+\{ans_rule(40)\} \(\mathrm{Hz}\)
 
 $PAR
 END_TEXT
@@ -64,7 +64,7 @@ BEGIN_TEXT
 b) What frequency does she receive after the ambulance has passed?
 $PAR
 
-\{ans_rule(40)\} \(\textrm{Hz}\)
+\{ans_rule(40)\} \(\mathrm{Hz}\)
 
 $PAR
 END_TEXT
@@ -76,4 +76,4 @@ How does the perceived sound change when the ambulance is approaching versus whe
 END_HINT
 Context()->normalStrings;
 
-ENDDOCUMENT()
+ENDDOCUMENT()
diff --git a/Contrib/BrockPhysics/College_Physics_Urone/17.Physics_of_Hearing/17-04.Doppler_Effect/NU_U17_17_04_002.pg b/Contrib/BrockPhysics/College_Physics_Urone/17.Physics_of_Hearing/17-04.Doppler_Effect/NU_U17_17_04_002.pg
@@ -48,11 +48,11 @@ $PAR
 
 
 
-a) At an air show a jet flies directly toward the stands at a speed of \($vskm \, \(\textrm{km/h}\),
-emitting a frequency of \($fs \, \(\textrm{Hz}\), on a day when the speed of sound is \($vw \, \(\textrm{m/s}\). What frequency is received by the observers? 
+a) At an air show a jet flies directly toward the stands at a speed of \($vskm \, \mathrm{km/h}\),
+emitting a frequency of \($fs \, \mathrm{Hz}\), on a day when the speed of sound is \($vw \, \mathrm{m/s}\). What frequency is received by the observers?
 $PAR
 
-\{ans_rule(40)\} \(\textrm{Hz}\)
+\{ans_rule(40)\} \(\mathrm{Hz}\)
 
 $PAR
 END_TEXT
@@ -64,7 +64,7 @@ b) What frequency do they receive as the plane flies directly away from them?
 $BR
 $BR
 
-\{ans_rule(40)\} \(\textrm{Hz}\)
+\{ans_rule(40)\} \(\mathrm{Hz}\)
 
 $PAR
 END_TEXT
@@ -76,4 +76,4 @@ How does the perceived sound change when the jet is approaching versus when it h
 END_HINT
 Context()->normalStrings;
 
-ENDDOCUMENT()
+ENDDOCUMENT()
diff --git a/Contrib/BrockPhysics/College_Physics_Urone/17.Physics_of_Hearing/17-04.Doppler_Effect/NU_U17_17_04_003.pg b/Contrib/BrockPhysics/College_Physics_Urone/17.Physics_of_Hearing/17-04.Doppler_Effect/NU_U17_17_04_003.pg
@@ -47,11 +47,11 @@ $PAR
 
 
 What frequency is received by a mouse just before being dispatched by a hawk flying
-at it at \($vs \, \(\textrm{m/s}\) and emitting a screech of frequency \($fs \, \(\textrm{Hz}\)? Take the speed of
-sound to be \($vw \, \(\textrm{m/s}\).
+at it at \($vs \, \mathrm{m/s}\) and emitting a screech of frequency \($fs \, \mathrm{Hz}\)? Take the speed of
+sound to be \($vw \, \mathrm{m/s}\).
 $PAR
 
-\{ans_rule(40)\} \(\textrm{Hz}\)
+\{ans_rule(40)\} \(\mathrm{Hz}\)
 
 $PAR
 END_TEXT
@@ -64,4 +64,4 @@ END_HINT
 Context()->normalStrings;
 
 
-ENDDOCUMENT()
+ENDDOCUMENT()
diff --git a/Contrib/BrockPhysics/College_Physics_Urone/17.Physics_of_Hearing/17-04.Doppler_Effect/NU_U17_17_04_004.pg b/Contrib/BrockPhysics/College_Physics_Urone/17.Physics_of_Hearing/17-04.Doppler_Effect/NU_U17_17_04_004.pg
@@ -46,12 +46,12 @@ $PAR
 
 
 
-A spectator at a parade receives an \($fobs \, \(\textrm{Hz}\) tone from an oncoming trumpeter who is
-playing an \($fs \, \(\textrm{Hz}\) note. At what speed is the musician approaching if the speed of
-sound is \($vw \, \(\textrm{m/s}\)?
+A spectator at a parade receives an \($fobs \, \mathrm{Hz}\) tone from an oncoming trumpeter who is
+playing an \($fs \, \mathrm{Hz}\) note. At what speed is the musician approaching if the speed of
+sound is \($vw \, \mathrm{m/s}\)?
 $PAR
 
-\{ans_rule(40)\} \(\textrm{m/s}\)
+\{ans_rule(40)\} \(\mathrm{m/s}\)
 $PAR
 END_TEXT
 
@@ -62,4 +62,4 @@ This question requires you to rearrange the formula used for the Doppler effect.
 END_HINT
 Context()->normalStrings;
 
-ENDDOCUMENT()
+ENDDOCUMENT()
diff --git a/Contrib/BrockPhysics/College_Physics_Urone/17.Physics_of_Hearing/17-04.Doppler_Effect/NU_U17_17_04_005.pg b/Contrib/BrockPhysics/College_Physics_Urone/17.Physics_of_Hearing/17-04.Doppler_Effect/NU_U17_17_04_005.pg
@@ -44,14 +44,14 @@ BEGIN_TEXT
 <strong>If you don't solve this problem correctly in $showHint tries, you can get a hint.</strong>
 
 $PAR
-A commuter train blows its \($fs \, \(\textrm{Hz}\) horn as it approaches a crossing. The speed of
-sound is \($vw \, \(\textrm{m/s}\). 
+A commuter train blows its \($fs \, \mathrm{Hz}\) horn as it approaches a crossing. The speed of
+sound is \($vw \, \mathrm{m/s}\).
 $PAR
-a) An observer waiting at the crossing receives a frequency of \($fobs \, \(\textrm{Hz}\). What is the speed of the train? 
+a) An observer waiting at the crossing receives a frequency of \($fobs \, \mathrm{Hz}\). What is the speed of the train?
 $PAR
 
 
-\{ans_rule(40)\} \(\textrm{m/s}\)
+\{ans_rule(40)\} \(\mathrm{m/s}\)
 $PAR
 END_TEXT
 
@@ -60,7 +60,7 @@ ANS(num_cmp("$vs"));
 BEGIN_TEXT
 b) What frequency does the observer receive as the train moves away?
 $PAR
-\{ans_rule(40)\} \(\textrm{Hz}\)
+\{ans_rule(40)\} \(\mathrm{Hz}\)
 $PAR
 END_TEXT
 
@@ -73,4 +73,4 @@ Context()->normalStrings;
 
 
 
-ENDDOCUMENT()
+ENDDOCUMENT()
diff --git a/Contrib/BrockPhysics/College_Physics_Urone/17.Physics_of_Hearing/17-04.Doppler_Effect/NU_U17_17_04_006.pg b/Contrib/BrockPhysics/College_Physics_Urone/17.Physics_of_Hearing/17-04.Doppler_Effect/NU_U17_17_04_006.pg
@@ -42,7 +42,7 @@ BEGIN_TEXT
 <strong>If you don't solve this problem correctly in $showHint tries, you can get a hint.</strong>
 
 $PAR
-Calculate the factor by which the frequency shifts produced when you pull a tuning fork toward you at \($vs \, \(\textrm{m/s}\) on a day when the speed of sound is \($vw \, \(\textrm{m/s}\)? 
+Calculate the factor by which the frequency shifts produced when you pull a tuning fork toward you at \($vs \, \mathrm{m/s}\) on a day when the speed of sound is \($vw \, \mathrm{m/s}\)?
 $PAR
 
 \{ans_rule(40)\} 
@@ -58,4 +58,4 @@ Context()->normalStrings;
 
 
 
-ENDDOCUMENT()
+ENDDOCUMENT()
diff --git a/Contrib/BrockPhysics/College_Physics_Urone/17.Physics_of_Hearing/17-04.Doppler_Effect/NU_U17_17_04_007.pg b/Contrib/BrockPhysics/College_Physics_Urone/17.Physics_of_Hearing/17-04.Doppler_Effect/NU_U17_17_04_007.pg
@@ -45,10 +45,10 @@ BEGIN_TEXT
 <strong>If you don't solve this problem correctly in $showHint tries, you can get a hint.</strong>
 
 $PAR
-Two eagles fly directly toward one another, the first at \($vo1 \, \(\textrm{m/s}\) and the second at \($vo2 \, \(\textrm{m/s}\). Both screech, the first one emitting a frequency of \($fs1 \, \(\textrm{Hz}\) and the second one emitting a frequency of \($fs2 \, \(\textrm{Hz}\). What frequency does the first eagle receive if the speed of sound is \($vw \, \(\textrm{m/s}\)?
+Two eagles fly directly toward one another, the first at \($vo1 \, \mathrm{m/s}\) and the second at \($vo2 \, \mathrm{m/s}\). Both screech, the first one emitting a frequency of \($fs1 \, \mathrm{Hz}\) and the second one emitting a frequency of \($fs2 \, \mathrm{Hz}\). What frequency does the first eagle receive if the speed of sound is \($vw \, \mathrm{m/s}\)?
 $PAR
 
-\{ans_rule(40)\} \(\textrm{Hz}\)
+\{ans_rule(40)\} \(\mathrm{Hz}\)
 $PAR
 END_TEXT
 
@@ -58,7 +58,7 @@ BEGIN_TEXT
 b) What frequency does the second eagle?
 $PAR
 
-\{ans_rule(40)\} \(\textrm{Hz}\)
+\{ans_rule(40)\} \(\mathrm{Hz}\)
 $PAR
 END_TEXT
 
@@ -70,4 +70,4 @@ END_HINT
 Context()->normalStrings;
 
 
-ENDDOCUMENT()
+ENDDOCUMENT()
diff --git a/Contrib/BrockPhysics/College_Physics_Urone/17.Physics_of_Hearing/17-04.Doppler_Effect/NU_U17_17_04_008.pg b/Contrib/BrockPhysics/College_Physics_Urone/17.Physics_of_Hearing/17-04.Doppler_Effect/NU_U17_17_04_008.pg
@@ -43,10 +43,10 @@ BEGIN_TEXT
 $PAR
 What is the minimum speed at which a source must travel toward you for you to be
 able to hear that its frequency is Doppler shifted? That is, what speed produces a shift
-of \(0.300 \, \(\textrm{%}\) on a day when the speed of sound is \($vw \, \(\textrm{m/s}\)?
+of \(0.300 \, \mathrm{%}\) on a day when the speed of sound is \($vw \, \mathrm{m/s}\)?
 $PAR
 
-\{ans_rule(40)\} \(\textrm{m/s}\)
+\{ans_rule(40)\} \(\mathrm{m/s}\)
 $PAR
 END_TEXT
 
@@ -58,4 +58,4 @@ END_HINT
 Context()->normalStrings;
 
 
-ENDDOCUMENT()
+ENDDOCUMENT()
diff --git a/Contrib/BrockPhysics/College_Physics_Urone/3.Two_Dimensional_Kinematics/003-005_ADDITIONOFVELOCITIES/NU_U17-03-05-015.pg b/Contrib/BrockPhysics/College_Physics_Urone/3.Two_Dimensional_Kinematics/003-005_ADDITIONOFVELOCITIES/NU_U17-03-05-015.pg
@@ -49,14 +49,14 @@ $adeg = $arad*180/pi;
 BEGIN_TEXT
 <strong>If you don't solve this problem correctly in $showHint tries, you can get a hint.</strong>
 $PAR
-A ship sailing in the Gulf Stream is heading \($wdeg^\circ\) west of north at a speed of \($sw\,\textrm{m/s}\) relative to the water. Its velocity relative to the Earth is \($se\,\textrm{m/s}\) \($edeg^\circ\) west of north.
+A ship sailing in the Gulf Stream is heading \($wdeg^\circ\) west of north at a speed of \($sw\,\mathrm{m/s}\) relative to the water. Its velocity relative to the Earth is \($se\,\mathrm{m/s}\) \($edeg^\circ\) west of north.
 $PAR
 What is the velocity of the Gulf Stream?
 $PAR
 (The velocity obtained is typical for the Gulf Stream a few hundred kilometers off the east coast of the United States.)
 $PAR
 
-\{ans_rule(40)\} \(\textrm{m/s}\)
+\{ans_rule(40)\} \(\mathrm{m/s}\)
 
 $PAR
 
@@ -65,13 +65,13 @@ $PAR
 $PAR
 END_TEXT
 
-ANS(num_cmp("$vw"));
-ANS(num_cmp("$adeg"));
+ANS(num_cmp("$vw", tol => 0.1, tolType => "absolute"));
+ANS(num_cmp("$adeg", tol => 0.1, tolType => "absolute"));
 
 BEGIN_HINT
 Consider trigonometric problem solving strategies in order to answer this question.
 END_HINT
 
 Context()->normalStrings;
 
-ENDDOCUMENT()
+ENDDOCUMENT()
diff --git a/Contrib/BrockPhysics/College_Physics_Urone/30.Atomic_Physics/30-02.Discovery_of_the_Parts_of_the_Atom_Electrons_and_Nuclei/NU_U17_30_02_001.pg b/Contrib/BrockPhysics/College_Physics_Urone/30.Atomic_Physics/30-02.Discovery_of_the_Parts_of_the_Atom_Electrons_and_Nuclei/NU_U17_30_02_001.pg
@@ -39,18 +39,18 @@ BEGIN_TEXT
 <strong>If you don't solve this problem correctly in $showHint tries, you can get a hint.</strong>
 
 $PAR
-Rutherford found the diameter of the nucleus to be about \(10^{-15} \, \(\textrm{m}\). This implied a huge density. What would this density be for gold?
+Rutherford found the diameter of the nucleus to be about \(10^{-15} \, \mathrm{m}\). This implied a huge density. What would this density be for gold?
 $PAR
 
-\{ans_rule(40)\} \(\textrm{kg/m}^3\)
+\{ans_rule(40)\} \(\mathrm{kg/m}^3\)
 
 $PAR
 END_TEXT
 
 ANS(num_cmp("$E"));
 
 BEGIN_HINT
-Convert \(\textrm{amu}\) for gold to \(\textrm{kg}\) to help you find density.
+Convert \(\mathrm{amu}\) for gold to \(\mathrm{kg}\) to help you find density.
 END_HINT
 Context()->normalStrings;
 
diff --git a/Contrib/BrockPhysics/College_Physics_Urone/31.Radioactivity_and_Nuclear_Physics/31-05.Half-Life_and_Activity/NU_U17-31-05-008.pg b/Contrib/BrockPhysics/College_Physics_Urone/31.Radioactivity_and_Nuclear_Physics/31-05.Half-Life_and_Activity/NU_U17-31-05-008.pg
@@ -44,7 +44,7 @@ $mass_g = $mass*10**-3;
 $M = 235;
 
 $timeSI= (0.693*$Na*$mass_g)/($activitySI*$M);
-$half_life = ($timeSI)/(86400*365.25)*10**-8;
+$half_life = ($timeSI)/(86400*365.25);
 
 Context() -> texStrings;
 BEGIN_TEXT 
@@ -77,4 +77,4 @@ Context() -> normalStrings;
 ANS(num_cmp("$half_life"));
 
 
-ENDDOCUMENT()
+ENDDOCUMENT()
diff --git a/Contrib/BrockPhysics/College_Physics_Urone/31.Radioactivity_and_Nuclear_Physics/31-06.Binding_Energy/NU_U17-31-06-006.pg b/Contrib/BrockPhysics/College_Physics_Urone/31.Radioactivity_and_Nuclear_Physics/31-06.Binding_Energy/NU_U17-31-06-006.pg
@@ -43,7 +43,7 @@ $N_strontium = 52;
 
 $mass_nickel = 57.935346;
 $mass_strontium = 89.907738;
-$mass_proton = 1.007825;
+$mass_proton = 1.007276;
 $mass_neutron = 1.008665;
 
 $binding_energy_per_A_nickel = (931.5)*($Z_nickel*$mass_proton + $N_nickel*$mass_neutron - $mass_nickel)/($Z_nickel + $N_nickel);
@@ -146,4 +146,4 @@ Context() -> normalStrings;
 ANS(num_cmp("$ratio"));
 
 
-ENDDOCUMENT()
+ENDDOCUMENT()
diff --git a/Contrib/BrockPhysics/College_Physics_Urone/4.Dynamics_Force_and_Newtons_Laws_of_Motion/Newtons_Second_Law_of_Motion_Concept_of_a_System/NU_U17-04-03-009.pg b/Contrib/BrockPhysics/College_Physics_Urone/4.Dynamics_Force_and_Newtons_Laws_of_Motion/Newtons_Second_Law_of_Motion_Concept_of_a_System/NU_U17-04-03-009.pg
@@ -44,13 +44,13 @@ BEGIN_TEXT
 
 $PAR
 
-Suppose two children push horizontally, but in exactly opposite directions, on a third child in a wagon. The first child exerts a force of \(75.0 \, \(\textrm{N}\), the second a force of \(90.0 \, \textrm{N}\), friction is \($d1 \, \textrm{N}\), and the mass of the third child plus wagon is \($w \, \textrm{kg}\).
+Suppose two children push horizontally, but in exactly opposite directions, on a third child in a wagon. The first child exerts a force of \(75.0 \, \mathrm{N}\), the second a force of \(90.0 \, \mathrm{N}\), friction is \($d1 \, \mathrm{N}\), and the mass of the third child plus wagon is \($w \, \mathrm{kg}\).
 $PAR
 (a) Calculate the acceleration. 
 
 $PAR
 
-\{ans_rule(40)\} \(\textrm{m/s}^2\)
+\{ans_rule(40)\} \(\mathrm{m/s}^2\)
 
 END_TEXT
 
@@ -59,10 +59,10 @@ ANS(num_cmp("$A1"));
 BEGIN_TEXT
 $PAR
 
-(b) What would the acceleration be if friction were \(15.0 \, \textrm{N}\)? 
+(b) What would the acceleration be if friction were \(15.0 \, \mathrm{N}\)?
 
 $PAR
-\{ans_rule(40)\} \(\textrm{m/s}^2\)
+\{ans_rule(40)\} \(\mathrm{m/s}^2\)
 
 END_TEXT
 
@@ -73,4 +73,4 @@ Determine the direction of the frictional force.
 END_HINT
 Context()->normalStrings;
 
-ENDDOCUMENT()
+ENDDOCUMENT()
diff --git a/Contrib/BrockPhysics/College_Physics_Urone/7.Work_Energy_and_Energy_Resources/7-01.Work.The_Scientific_Definition/NU_U17_07_01_008.pg b/Contrib/BrockPhysics/College_Physics_Urone/7.Work_Energy_and_Energy_Resources/7-01.Work.The_Scientific_Definition/NU_U17_07_01_008.pg
diff --git a/Contrib/BrockPhysics/College_Physics_Urone/7.Work_Energy_and_Energy_Resources/7-07.Power/NU_U17_07_07_011.pg b/Contrib/BrockPhysics/College_Physics_Urone/7.Work_Energy_and_Energy_Resources/7-07.Power/NU_U17_07_07_011.pg
diff --git a/Contrib/BrockPhysics/College_Physics_Urone/7.Work_Energy_and_Energy_Resources/7-08.Work_Energy_and_Power_in_Humans/NU_U17_07_08_011.pg b/Contrib/BrockPhysics/College_Physics_Urone/7.Work_Energy_and_Energy_Resources/7-08.Work_Energy_and_Power_in_Humans/NU_U17_07_08_011.pg
diff --git a/Pending/BrockPhysics/College_Physics_Urone/31.Radioactivity_and_Nuclear_Physics/31-05.Half-Life_and_Activity/NU_U17-31-05-008.pg b/Pending/BrockPhysics/College_Physics_Urone/31.Radioactivity_and_Nuclear_Physics/31-05.Half-Life_and_Activity/NU_U17-31-05-008.pg
diff --git a/Pending/BrockPhysics/College_Physics_Urone/31.Radioactivity_and_Nuclear_Physics/31-06.Binding_Energy/NU_U17-31-06-006.pg b/Pending/BrockPhysics/College_Physics_Urone/31.Radioactivity_and_Nuclear_Physics/31-06.Binding_Energy/NU_U17-31-06-006.pg
