Solved Problem: You've just been involved in an accident in which the damage is significant but none is hurt. While driving east through anintersection you are broadsided by a large sport utility vehicle travelling north. What speed and direction do the two vehicles move off with justafter the collision. Assume that the collision is perfectly inelastic.Question: Determine the velocity of the two just after the collision. Known: m, = 1000kg, m, = 2000 kg. V = 10 m/s and V = 20 m/s. Principle: Conservation of Momentum in2D Approach: Determine initial and final momenta and solve for velocity?I: Printtal =1v₁, = (m₁ + m₂)v₁,cost = Pzfinaly: Pyinitial = M2V2, = (m₁ + m₂) v2, sine = PyfinalLet v₁, V2, V, Taking the ratio of the two:(m₁ + m₂)V sino(m₁ + m₂)V coseM202₁psysteminitialThen tane =M₂021mici,Pystemfinal2000 kg x 20m1000 kg x 10"mivi, = (m₁ + m₂)V cost-Vsinocose=tand40=tan(4) = 75.96°1000 kg x 10 m/s(1000+2000) kg x cos(75.96)2000) kg xShow that the two vehicles skid a distance of 11.7 m on the pavement before coming to a rest.mi(m₁ + m₂) costinitial: before collision+yV1;= 13.74 m/s+X?final: after collision+Calculate the acceleration of yourcar (vehicle 1) for a collision timeof 1 sec. Express it as a fractionof g. Explain how airbags cansave your life in a collision.

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Description: Solved Problem: You've just been involved in an accident in which the damage is significant but none is hurt. While driving east through anintersection you are broadsided by a large sport utility vehicle travelling north. What speed and direction do

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Solved Problem: You've just been involved in an accident in which the damage is significant but none is hurt. While driving east through an intersection you are broadsided by a large sport utility vehicle travelling north. What speed and direction do the two vehicles move off with just after the collision. Assume that the collision is perfectly inelastic. Question: Determine the velocity of the two just after the collision. Known: m, = 1000 kg, m₂ = 2000 kg, v = 10 m/s and v₁ = 20 m/s. Principle: Conservation of Momentum in 2D Approach: Determine initial and final momenta and solve for velocity psystem initial = Paystem final I: Printal = m1v₁, = (m₁ + m₂) v₁, cost=Pzfinal y: Pyinitial = M2V2, = (m₁ + m₂) v2, sine = Pyfinal Let v₁, v2, = V, Taking the ratio of the two: initial: before collision +y VI; final: after collision +y 0 +

Solved Problem: You've just been involved in an accident in which the damage is significant but none is hurt. While driving east through an intersection you are broadsided by a large sport utility vehicle travelling north. What speed and direction do the two vehicles move off with just after the collision. Assume that the collision is perfectly inelastic. Question: Determine the velocity of the two just after the collision. Known: m, = 1000 kg, m₂ = 2000 kg, v = 10 m/s and v₁ = 20 m/s. Principle: Conservation of Momentum in 2D Approach: Determine initial and final momenta and solve for velocity psystem initial = Paystem final I: Printal = m1v₁, = (m₁ + m₂) v₁, cost=Pzfinal y: Pyinitial = M2V2, = (m₁ + m₂) v2, sine = Pyfinal Let v₁, v2, = V, Taking the ratio of the two: initial: before collision +y VI; final: after collision +y 0 +

Physics for Scientists and Engineers: Foundations and Connections

1st Edition

ISBN:9781133939146

Author:Katz, Debora M.

Publisher:Katz, Debora M.

Chapter11: Collisions

Section: Chapter Questions

Problem 64PQ: From what might be a possible scene in the comic book The X-Men, the Juggernaut (mJ) is charging...

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