3. A bomb which is initially at rest explodes into three fragments. Fragment A of known mass ma moves at a known angle of 8 measured clockwise with respect to the positive y-axis with a known speed |V4l. Fragment B of unknown mass (but let's call it m3 ) moves at a known angle o measured counterclockwise with respect to the negative x-axis with a known speed |is|. A third fragment C of known mass mc moves off along the negative y-axis with an unknown speed (let's call it |vcl). Only the forces between the fragments are significant during the collision. a. Draw a diagram that shows the initial and final states of the bomb fragments. Label the velocity vectors and known angles. b. Define what you would like to include in your system. c. Write a Newton's 2nd Law equation for this system. d. Determine the speed of fragment C and the mass of fragment B in terms of the known quantities.

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
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**Problem 3:**

A bomb which is initially at rest explodes into three fragments. Fragment A of known mass \( m_A \) moves at a known angle of \( \theta \) measured clockwise with respect to the positive y-axis with a known speed \(|\vec{v}_A|\). Fragment B of unknown mass (but let’s call it \( m_B \)) moves at a known angle \( \phi \) measured counterclockwise with respect to the negative x-axis with a known speed \(|\vec{v}_B|\). A third fragment C of known mass \( m_C \) moves off along the negative y-axis with an unknown speed (let’s call it \(|\vec{v}_C|\)). Only the forces between the fragments are significant during the collision.

Tasks:
a. Draw a diagram that shows the initial and final states of the bomb fragments. Label the velocity vectors and known angles.

b. Define what you would like to include in your system.

c. Write a Newton’s 2nd Law equation for this system.

d. Determine the speed of fragment C and the mass of fragment B in terms of the known quantities.
Transcribed Image Text:**Problem 3:** A bomb which is initially at rest explodes into three fragments. Fragment A of known mass \( m_A \) moves at a known angle of \( \theta \) measured clockwise with respect to the positive y-axis with a known speed \(|\vec{v}_A|\). Fragment B of unknown mass (but let’s call it \( m_B \)) moves at a known angle \( \phi \) measured counterclockwise with respect to the negative x-axis with a known speed \(|\vec{v}_B|\). A third fragment C of known mass \( m_C \) moves off along the negative y-axis with an unknown speed (let’s call it \(|\vec{v}_C|\)). Only the forces between the fragments are significant during the collision. Tasks: a. Draw a diagram that shows the initial and final states of the bomb fragments. Label the velocity vectors and known angles. b. Define what you would like to include in your system. c. Write a Newton’s 2nd Law equation for this system. d. Determine the speed of fragment C and the mass of fragment B in terms of the known quantities.
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