Title: Elastic/inelastic problems: A 15.0 kg penguin waddling east at a velocity of 7.0 m/s collides with a ... Post by: s.h_math on Dec 9, 2021 (https://biology-forums.com/gallery/43/1067569_09_12_21_1_26_28.jpeg) (https://biology-forums.com/index.php?action=gallery;sa=view&id=43815)
Hi there, I was wondering if I could get help with this question. Thanks a lot :) A 15.0 kg penguin waddling east at a velocity of 7.0 m/s collides with a stationary 10.0 kg penguin. After the collision the 15.0 kg penguin is traveling at a velocity Of 4.2 m/s 20.00 S of E. a. What is the velocity of the 10.0 kg penguin after collision? b. is this collision elastic or inelastic? Title: Elastic/inelastic problems: A 15.0 kg penguin waddling east at a velocity of 7.0 m/s collides with a ... Post by: duddy on Dec 9, 2021 Part A:
Using momentum conservation we have: Direction \(x\): (15) (7.0) + 0 = (15) (4.2) cos (-20 °) + (10) v₂ (f) cosθ (10) v₂ (f) cosθ = (15) (7.0) - (15) (4.2) cos (-20 °) ... (Eq 1) Direction \(y\): 0 + 0 = (15) (4.2) sin (-20 °) + (10) v₂ (f) sinθ (10) v₂ (f) sinθ = - (15) (4.2) sin (-20 °) ... (Eq 2) We divide both equations (1) and (2): Left side: (10) v₂ (f) sinθ / (10) v₂ (f) cosθ = tanθ Right side: - (15) (4.2) sin (-20 °) / (15) (7.0) - (15) (4.2) cos (-20 °) Clearing the angle we have: θ = tan⁻¹ [ - (15) (4.2) sin (-20 °) / (15) (7.0) - (15) (4.2) cos (-20 °) ] θ = 25 ° We use any of the equations to find the speed. From (2) we have: (10) v₂ (f) sinθ = - (15) (4.2) sin (-20 °) v₂ = - (15) (4.2) sin (-20 °) / (10) sin25 ° Answer: Note: θ = 25 ° (direction is in the first quadrant, north of east) Part B: Initial kinetic energy: K (i) = 0.5 (15) (7.0) ² = 370J (rounded) Final kinetic energy: KE (f) = 0.5 (15kg) (4.2m / s) ² + 0.5 (10kg) (5.1m / s) ² = 260J (rounded) Answer: A difference of 110J, so it was an inelastic collision. Title: Elastic/inelastic problems: A 15.0 kg penguin waddling east at a velocity of 7.0 m/s collides with a ... Post by: s.h_math on Dec 9, 2021 Hey duddy it makes sense but could you write the initial equations to what we are plugging the numbers in? Thankss
Title: Elastic/inelastic problems: A 15.0 kg penguin waddling east at a velocity of 7.0 m/s collides with a ... Post by: duddy on Dec 9, 2021 The conservation of momentum formula goes like this:
total momentum before = total momentum after linear momentum = mass * velocity In other words: \(\rho =m\cdot v\) I'll break down the first one for you, and hopefully you can apply it to the rest. Recall: Direction \(x\): m*v + m*v = m*v + m*v 1..........2.........3....... ...4 in term 1: (15) (7.0) in term 2: (10) (0) = 0 in term 3: (15) (4.2) cos (-20°) in term 4: (10) v₂ (f) cosθ how's that? Title: Elastic/inelastic problems: A 15.0 kg penguin waddling east at a velocity of 7.0 m/s collides with a ... Post by: s.h_math on Dec 9, 2021 Yeah for sure thanks a lot!
Title: Elastic/inelastic problems: A 15.0 kg penguin waddling east at a velocity of 7.0 m/s collides with a ... Post by: Yeah.Yeah. on Dec 9, 2021 (http://jessysidhuphysics.weebly.com/uploads/4/7/2/3/47237457/7961569.png?407)
you just need number 5? Title: Re: Elastic/inelastic problems: A 15.0 kg penguin waddling east at a velocity of 7.0 m/s collides ... Post by: s.h_math on Dec 9, 2021 Yeah, as it’s the only number circled.
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