### Educational Content on Barge Collision Dynamics**Scenario Description:**A barge with a mass of $1.5 \times 10^5 \, \text{kg}$ is traveling downstream in a fog with a velocity of $\mathbf{v} = \langle -6.0, 0, 0 \rangle \, \text{m/s}$. It collides with a second barge, which has a larger mass of $3.0 \times 10^5 \, \text{kg}$, moving across the river with a velocity of $\mathbf{v} = \langle 0, 0, 4.0 \rangle \, \text{m/s}$.After the collision, the second barge is observed heading 20 degrees downriver with a speed of 4.5 m/s. It is assumed that the river current does not affect the motion in this part of the river.**Questions:**a. Determine the velocity of the second barge immediately after impact in vector form.b. Using the conservation of momentum, calculate the velocity of the first barge immediately after impact in vector form.c. Assess whether the collision was elastic. If it was not, calculate the change in kinetic energy.**Diagram Explanation:**The diagram accompanying the scenario shows:- Two bars representing the two barges, with the smaller barge moving leftward (downriver) and the larger barge moving vertically upward (across the river) before the collision.- An arrow indicating the movement direction post-collision for the second barge, at 20 degrees from the horizontal axis labeled "Downriver."- An $x$ and $z$ coordinate system to represent directions in the river, where $x$ is along the river, downriver, and $z$ is across the river.This visual aids in understanding the velocity components involved in the collision and the resultant momentum calculations needed to solve the given questions.

Name: ### Educational Content on Barge Collision Dynamics**Scenario Descrip
Uploaded: 2024-03-20T06:57:37.000Z
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Description: ### Educational Content on Barge Collision Dynamics**Scenario Description:**A barge with a mass of $1.5 \times 10^5 \, \text{kg}$ is traveling downstream in a fog with a velocity of $\mathbf{v} = \langle -6.0, 0, 0 \rangle \, \text{m/s}$. It col

Given:- The mass of the barge m1 = 1.5 x 105 kg The velocity of the barge u1 = 6.0 m/s The mass of…

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Physics

kg barge is fnoa a fog velocity m/s when it collides with a second barge with a mass of 3.0x105 kg headin the river with a velocity of v =< 0,0,4.0 > m/s. Immediately after impact second barge is headed 20º downriver with a speed of 4.5 m/s. Assume th is negligible in this part of the river. a. What is the velocity of the second barge immediately after impact form)? b. Use conservation of momentum to find the velocity of the first bary immediately after impact (in vector form)? Was the collision elastic? If not what was the change in kinetic ens

kg barge is fnoa a fog velocity m/s when it collides with a second barge with a mass of 3.0x105 kg headin the river with a velocity of v =< 0,0,4.0 > m/s. Immediately after impact second barge is headed 20º downriver with a speed of 4.5 m/s. Assume th is negligible in this part of the river. a. What is the velocity of the second barge immediately after impact form)? b. Use conservation of momentum to find the velocity of the first bary immediately after impact (in vector form)? Was the collision elastic? If not what was the change in kinetic ens

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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