Explanation Given info: The speed of the vehicle in east direction is 13.0 m / s , the speed of the other vehicle is v 2i , the angle measured from east to north is 55.0 ° and the speed limit for both roads is 35 mi / h . Write the equation of conservation of momentum in x direction. p ix = p fx (1) Here, p ix is the initial momentum in x direction. p fx is the final momentum in x direction. Write the equation of initial momentum in x direction. p ix = m v 1 i Here, m is the mass of the vehicles. v 1i is the initial velocity of the vehicle in the east direction. Write the equation of final momentum in x direction. p fx = m v cos θ + m v cos θ = 2 m v cos θ Here, v is the final velocity of the vehicle after the collision. θ is the angle measured from north to east. Substitute m v 1 i for p ix and 2 m v cos θ for p fx in equation (1). m v 1 i = 2 m v cos θ v 1 i = 2 v cos θ v = v 1 i 2 cos θ Write the equation of conservation of momentum in y direction. p iy = p fy (2) Here, p iy is the initial momentum in y direction. p fy is the final momentum in y direction. Write the equation of initial momentum in y direction. p iy = m v 2i Here, v 2i is the initial velocity of the vehicle in the north direction. Write the equation of final momentum in y direction

Physics for Scientists and Engineers, Technology Update (No access codes included)

9th Edition

ISBN: 9781305116399

Author: Raymond A. Serway, John W. Jewett

Publisher: Cengage Learning

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Chapter 9, Problem 9.36P

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Whether the speed of the northward moving vehicle is within the speed limit of the road or not when the collision occurred.

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Chapter 9, Problem 9.35P

Chapter 9, Problem 9.37P

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Physics for Scientists and Engineers, Technology Update (No access codes included)

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Whether the speed of the northward moving vehicle is within the speed limit of the road or not when the collision occurred.

Solution Summary: The author explains the equation of conservation of momentum in x direction.

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Whether the speed of the northward moving vehicle is within the speed limit of the road or not when the collision occurred.

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Chapter 9 Solutions