### Physics Problem Statement with Solutions#### Problem Context:A 13.0 kg fireworks shell is shot into the air with an initial velocity of 69.0 m/s at an angle of 80.0° above the horizontal. At the highest point of its trajectory, a small explosive charge separates it into two pieces, neither of which ignite (two duds). One 9.00 kg piece falls straight down, having zero velocity just after the explosion. Neglect air resistance (a poor approximation, but do it anyway).#### Questions:1. **At what horizontal distance (in meters) from the starting point does the 9.00 kg piece hit the ground?** - [Answer box] m2. **Calculate the velocity (in meters per second) of the 4.00 kg piece just after the separation.** - [Answer box] m/s3. **At what horizontal distance (in meters) from the starting point does the 4.00 kg piece hit the ground?** - [Answer box] m### Explanation and Methodology:#### (a) Calculating Horizontal Distance for the 9.00 kg Piece:To be solved, requires determination based on principles of projectile motion and conservation of momentum at the highest point of the shell’s trajectory.#### (b) Calculating Velocity of the 4.00 kg Piece After Separation:Use the conservation of momentum to find the velocity immediately after separation.#### (c) Calculating Horizontal Distance for the 4.00 kg Piece:Apply the motion equations to calculate the horizontal distance traveled by the 4.00 kg piece before hitting the ground.#### Diagrams and Graphs:Since no diagrams or graphs appear in the image, ensure to incorporate relevant equations, free-body diagrams, and graphical representations of trajectories when explaining this problem in detailed educational content. Ensure to illustrate parabolic motion for parts a and c, and vector analysis for part b, if needed.##### Educational Note:Given data:- Mass of fireworks shell $ m = 13.0 \, \text{kg} $- Initial velocity $ v_0 = 69.0 \, \text{m/s} $- Angle above the horizontal $ \theta = 80.0^\circ $- Mass of larger piece $ m_1 = 9.00 \, \text{kg} $- Mass of smaller piece \( m_2

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Suppose a 13.0 kg fireworks shell is shot into the air with an initial velocity of 69.0 m/s at an angle of 80.0° above the horizontal. At highest point of its trajectory, a small explosive charge separates it into two pieces, neither of which ignite (two duds). One 9.00 kg pi straight down, having zero velocity just after the explosion. Neglect air resistance (a poor approximation, but do it anyway). (a) At what horizontal distance (in m) from the starting point does the 9.00 kg piece hit the ground? m (b) Calculate the velocity (in m/s) of the 4.00 kg piece just after the separation. m/s (e) bit th

Suppose a 13.0 kg fireworks shell is shot into the air with an initial velocity of 69.0 m/s at an angle of 80.0° above the horizontal. At highest point of its trajectory, a small explosive charge separates it into two pieces, neither of which ignite (two duds). One 9.00 kg pi straight down, having zero velocity just after the explosion. Neglect air resistance (a poor approximation, but do it anyway). (a) At what horizontal distance (in m) from the starting point does the 9.00 kg piece hit the ground? m (b) Calculate the velocity (in m/s) of the 4.00 kg piece just after the separation. m/s (e) bit th

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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