TheoryAid(SeriesSpringsToo)
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Catégorie :Category: nCreator TI-Nspire
Auteur Author: gurshan
Type : Classeur 3.0.1
Page(s) : 1
Taille Size: 2.67 Ko KB
Mis en ligne Uploaded: 20/06/2025 - 05:44:16
Uploadeur Uploader: gurshan (Profil)
Téléchargements Downloads: 1
Visibilité Visibility: Archive publique
Shortlink : https://tipla.net/a4738066
Type : Classeur 3.0.1
Page(s) : 1
Taille Size: 2.67 Ko KB
Mis en ligne Uploaded: 20/06/2025 - 05:44:16
Uploadeur Uploader: gurshan (Profil)
Téléchargements Downloads: 1
Visibilité Visibility: Archive publique
Shortlink : https://tipla.net/a4738066
Description
Fichier Nspire généré sur TI-Planet.org.
Compatible OS 3.0 et ultérieurs.
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1. Multiple Springs in Series/Parallel Q: What happens to the spring constant when multiple identical springs are connected? Case A: Springs in Parallel Imagine 2 springs side-by-side supporting a mass. Each shares part of the force: F=F 1 +F 2 ,x=x 1 =x 2 Effective spring constant: k eff =k /1 +k /2 =Nk(if N identical springs) Parallel stiffer larger k Case B: Springs in Series Springs are linked end to end, so they extend more overall Force is the same through each:F=k 1 x 1 =k 2 x 2 ,x total =x 1 +x 2 Effective spring constant: 2. Ball Hits and Rebounds from Wall Q: A ball of mass m hits a vertical wall at speed v at angle ¸, and rebounds at same speed and angle.What is the change in the magnitude of its momentum? Strategy:Horizontal component reversesVertical component stays the same Lets resolve momentum: Before:p in =m(vcos¸) i^ +m(vsin¸) j^ After:pout =m(vcos¸) i^ +m(vsin¸) j^ Change in momentum: p = p out p in =[2mvcos¸] i^ So, magnitude of change in momentum:2mvcos¸ Always handle components separately! 3. Object Rebounds vs. Stops Q: Two objects hit a wall. One rebounds, the other sticks. Which experiences more impulse? Answer: Rebound implies direction change, so total momentum change is greater. 4. Is Work Done When Carrying an Object? Q: You walk forward holding a box at constant height. Are you doing work on the box? Answer: No (on the box itself) Force you apply = upward Displacement = horizontal Angle between force & motion = 90° Work: W=Fdcos¸=Fdcos(90)=0 But you're exerting energy biologically its just not mechanical work. 5. Total Energy in Inelastic Collision Q: A moving ball sticks to another stationary one. What happens to total kinetic energy? Answer: It decreases Momentum is conserved KE is not (some lost as heat, deformation, sound) 6. Spring-Block System on Frictionless Surface Q: A block compresses a spring and is released. What energy transformation occurs? Answer: KE max occurs when spring is fully uncompressed 7. Object Sliding Up Ramp with Friction Q: A block is pushed up a ramp. What forces do negative work? Gravity: pulls it back down opposes motion Friction: always opposes motion So both gravity and friction do negative work Made with nCreator - tiplanet.org
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Compatible OS 3.0 et ultérieurs.
<<
1. Multiple Springs in Series/Parallel Q: What happens to the spring constant when multiple identical springs are connected? Case A: Springs in Parallel Imagine 2 springs side-by-side supporting a mass. Each shares part of the force: F=F 1 +F 2 ,x=x 1 =x 2 Effective spring constant: k eff =k /1 +k /2 =Nk(if N identical springs) Parallel stiffer larger k Case B: Springs in Series Springs are linked end to end, so they extend more overall Force is the same through each:F=k 1 x 1 =k 2 x 2 ,x total =x 1 +x 2 Effective spring constant: 2. Ball Hits and Rebounds from Wall Q: A ball of mass m hits a vertical wall at speed v at angle ¸, and rebounds at same speed and angle.What is the change in the magnitude of its momentum? Strategy:Horizontal component reversesVertical component stays the same Lets resolve momentum: Before:p in =m(vcos¸) i^ +m(vsin¸) j^ After:pout =m(vcos¸) i^ +m(vsin¸) j^ Change in momentum: p = p out p in =[2mvcos¸] i^ So, magnitude of change in momentum:2mvcos¸ Always handle components separately! 3. Object Rebounds vs. Stops Q: Two objects hit a wall. One rebounds, the other sticks. Which experiences more impulse? Answer: Rebound implies direction change, so total momentum change is greater. 4. Is Work Done When Carrying an Object? Q: You walk forward holding a box at constant height. Are you doing work on the box? Answer: No (on the box itself) Force you apply = upward Displacement = horizontal Angle between force & motion = 90° Work: W=Fdcos¸=Fdcos(90)=0 But you're exerting energy biologically its just not mechanical work. 5. Total Energy in Inelastic Collision Q: A moving ball sticks to another stationary one. What happens to total kinetic energy? Answer: It decreases Momentum is conserved KE is not (some lost as heat, deformation, sound) 6. Spring-Block System on Frictionless Surface Q: A block compresses a spring and is released. What energy transformation occurs? Answer: KE max occurs when spring is fully uncompressed 7. Object Sliding Up Ramp with Friction Q: A block is pushed up a ramp. What forces do negative work? Gravity: pulls it back down opposes motion Friction: always opposes motion So both gravity and friction do negative work Made with nCreator - tiplanet.org
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