Mechanics from ATGS (for beginners)

JEE Main 2015 Guidance › Mechanics questions › Mechanics from ATGS (for beginners)

2 balls are present each of mass m and radius R

one is at rest and other moving with a velocity v but the direction of velocity vector does not pass through the centre of the ball at rest...

anyways...

still the 2 balls underg collision...

and no energy loss takes place due to the collision

then prove that the new velocity vectors of the 2 balls make an angle equal to 90Â° wth one another...

i hope the language of the question is clear!!

#Physics #Mechanics

UP 0 DOWN 0 0 1
Post on FacebookPost anonymously?

1 Answers

Euclid ·2010-09-09 17:57:14

this is always true for elastic oblique collisions...

the velocities of the balls along the common normal dirⁿ get exchanged and hence the 1st ball comes to rest in this dirⁿ (retaining its velocity component along the tangential dirⁿ) while the other ball acquires the normal velocity..... hence they move perpendicularly......

Mathematically it can be proved by writing any two of momemntum conservation (along normal), KE conservation and coeff. of restitution...

UP 0 DOWN 0
Post on FacebookPost anonymously?

Your Answer

Basic Integral Calculus Operators Symbols Matrix Cases

√ √ || {} [] () → ~ ^ x x x → → ln log lg lim lim cos sin tan cot arcsin arccos arctan

∫ ∫ ∫ ∫ ∫ ∬ ∬ ∬ ∬ ∬ ∭ ∭ ∭ ∭ ∭ ⨌ ⨌ ⨌ ⨌ ⨌

∑ ∑ ∑ ∑ ∑ ∮ ∮ ∮ ∮ ∮ ∏ ∏ ∏ ∏ ∏ ∐ ∐ ∐ ∐ ∐

+ - × ÷ ± ∓ = ∪ ∩ ≠ ∼ ≈ ∅ ∀ ∃ ∈ ∋ ∝ ≤ ≥ ≃ ≅ ≡ < > ≪ ≫ ⊂ ∉ ⊃ ⊆ ⊇ ⇒ ⇐ ⇔ ⇒ ⇐ ⇔ ⇑ ⇓ ⇕ → ← ↔ → ← ↔ ↑ ↓ ↕ ↖ ↗ ↘ ↙ ↪ ↩ ⇀ ↼ ⇁ ↽

° ∂ ∞ α β γ δ θ λ μ ν ξ π ρ σ φ ω ε ƒ κ τ υ Γ Δ Λ Σ Π Ω

Close [X]

Mechanics from ATGS (for beginners)

1 Answers

Your Answer

Add Image

Similar Questions