### Problem DescriptionA 10-kg body is moving through space (ignoring gravity) in the positive direction of a y-axis with a speed of 140 m/s when, due to an internal explosion, it breaks into two pieces: piece A (mass = 2 kg) and piece B (mass = 8 kg). Piece A moves away from the point of the explosion with a speed of 50 m/s in the +x direction. Piece B has a velocity \(\vec{v}_B\) after the explosion.#### Part a:What is the total linear momentum of the two-piece system after the explosion? Put your answer in unit vector notation.#### Part b:What is the x-component and y-component of the velocity \(\vec{v}_B\) of piece B after the explosion? Remember to include a plus or minus sign to indicate direction. ### ExplanationThe problem involves a conservation of momentum scenario. Initially, the entire system (10-kg body) has a linear momentum due solely to its initial velocity in the +y direction. After an explosion divides it into two pieces, the conservation of momentum principle allows us to calculate the resulting velocities and momentum of the pieces. Piece A moves in the +x direction, and you will be asked to find the velocity components of piece B.

Name: ### Problem DescriptionA 10-kg body is moving through space (ignoring
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Description: ### Problem DescriptionA 10-kg body is moving through space (ignoring gravity) in the positive direction of a y-axis with a speed of 140 m/s when, due to an internal explosion, it breaks into two pieces: piece A (mass = 2 kg) and piece B (mass = 8 k

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4. A 10-kg body is moving through space (ignore gravity) in the positive direction of a y axis with a speed of 140 m/s when, due to an internal explosion, it breaks into two pieces: piece A (mass= 2 kg) and piece B (mass = 8 kg). Piece A moves away from the point of the explosion with a speed of 50 m/s in the +x direction. Piece B has a velocity vg after the explosion. a. What is the total linear momentum of the two-piece system after the explosion? Put your answer in unit vector notation. b. What is the x component and y component of the velocity VB of piece B after the explosion? Remember to include a plus or minus sign to indicate direction.

4. A 10-kg body is moving through space (ignore gravity) in the positive direction of a y axis with a speed of 140 m/s when, due to an internal explosion, it breaks into two pieces: piece A (mass= 2 kg) and piece B (mass = 8 kg). Piece A moves away from the point of the explosion with a speed of 50 m/s in the +x direction. Piece B has a velocity vg after the explosion. a. What is the total linear momentum of the two-piece system after the explosion? Put your answer in unit vector notation. b. What is the x component and y component of the velocity VB of piece B after the explosion? Remember to include a plus or minus sign to indicate direction.

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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