Momentum Kabhi "Gaayab" Nahi Hota 💫
Newton ke teesre niyam (action-reaction) se ek bahut powerful niyam nikalta hai. Jab do cheezein aapas mein takraati hain (ya ek doosre ko dhakelti hain), toh unka kul momentum reaction (abhikriya) se pehle aur baad mein barabar rehta hai - bilkul waise jaise mass conserve hota hai chemistry mein.
📌 Law of Conservation of Momentum: Jab do (ya zyada) objects sirf aapas mein force
lagate hain (koi bahari force na ho), toh unka total momentum constant rehta hai.
Reaction se pehle ka total momentum = reaction ke baad ka total momentum
📐 Do objects ke liye:
m₁u₁ + m₂u₂ = m₁v₁ + m₂v₂
(u = pehle ki velocity, v = baad ki velocity)
🎱 Solved Examples
✔ Example 1 - Do gend ki takkar:
Ek 2 kg ki gend 5 m/s se chalkar ek rukti hui 3 kg ki gend se takraati hai. Takkar ke baad 2 kg wali gend ruk jaati hai. 3 kg wali gend ki velocity?
Pehle: total p = (2 × 5) + (3 × 0) = 10 kg·m/s
Baad: total p = (2 × 0) + (3 × v) = 3v
Conservation se: 10 = 3v → v = 3.33 m/s
✔ Example 2 - Gun ka recoil:
Ek 4 kg ki gun se 0.02 kg ki goli 100 m/s se nikalti hai. Gun kis velocity se peeche jaayegi (recoil)?
Pehle: dono ruke the, total p = 0
Baad: goli ka p + gun ka p = 0
(0.02 × 100) + (4 × v) = 0
2 + 4v = 0 → v = −0.5 m/s
Minus sign matlab gun goli ke ulti direction mein 0.5 m/s se peeche jaati hai (recoil).
✔ Example 3 - Do cart jud jaate hain:
Ek 1 kg ka cart 6 m/s se chalkar ek rukti hui 2 kg ke cart se takraakar chipak jaata hai. Dono ki combined velocity?
Pehle: (1 × 6) + (2 × 0) = 6 kg·m/s
Baad: dono saath (1 + 2 = 3 kg) velocity v se: 3 × v
6 = 3v → v = 2 m/s
🚀 Rocket Aur Recoil - Conservation Ka Kamaal
Rocket ka poora funda conservation of momentum par hai! Shuruaat mein rocket ruka hai (total momentum = 0). Jab wo gas neeche phenkti hai (gas ka momentum neeche), toh momentum conserve rakhne ke liye rocket upar chala jaata hai (rocket ka momentum upar). Dono barabar aur ulte - total abhi bhi 0!
Ek dhaage (string) par straw laga do, straw mein dhaaga dalo, phir ek bhare balloon ko straw se chipka kar chhod do - balloon dhaage par tez chala jaayega! Hawa peeche, balloon aage - conservation of momentum ka mazedaar experiment.
Do carts ka mass aur velocity set karo - dekho collision se pehle aur baad total momentum barabar rehta hai!
Open Sim →🇮🇳 Bharat Ka Yogdaan - ISRO
Bharat ka ISRO (Indian Space Research Organisation) rocket science mein duniya ke top sansthaanon mein se ek hai - aur ye poora conservation of momentum aur Newton ke niyamon par chalta hai! ISRO ne Chandrayaan (chaand par), Mangalyaan (mangal par - pehli hi koshish mein!) aur ek hi rocket se 104 satellites ek saath chhode - ek world record! Har launch mein rocket gas neeche phenkti hai aur upar udti hai - Newton ka teesra niyam action mein.
🎉 Chapter Complete!
Shaabaash! Aapne "Force and Laws of Motion" chapter poora kar liya. Aapne seekha:
- ✔ Force, uske effects, balanced vs unbalanced forces
- ✔ Newton ka pehla niyam aur inertia
- ✔ Momentum (p = mv)
- ✔ Newton ka doosra niyam (F = ma) aur weight
- ✔ Newton ka teesra niyam (action-reaction)
- ✔ Conservation of momentum aur ISRO
Interactives zaroor try karo - Force-Acceleration Lab, Inertia Demos, Collision Sim aur 3D Rocket Lab!