A bullet of mass mi is fired into a block of mass M2 initially at rest at the edge of a frictionless table of height h. The bullet remains in the block, and after impact the block lands a distance d from the bottom of the table. Determine the initial speed of the bullet in terms of the quantities given and the acceleration due to gravity g.
A bullet of mass mi is fired into a block of mass M2 initially at rest at the edge of a frictionless table of height h. The bullet remains in the block, and after impact the block lands a distance d from the bottom of the table. Determine the initial speed of the bullet in terms of the quantities given and the acceleration due to gravity g.
Principles of Physics: A Calculus-Based Text
5th Edition
ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
Publisher:Raymond A. Serway, John W. Jewett
Chapter8: Momentum And Collisions
Section: Chapter Questions
Problem 3OQ
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![**Problem Statement:**
A bullet of mass \( m_1 \) is fired into a block of mass \( M_2 \) initially at rest at the edge of a frictionless table of height \( h \). The bullet remains in the block, and after impact, the block lands a distance \( d \) from the bottom of the table. Determine the initial speed of the bullet in terms of the quantities given and the acceleration due to gravity \( g \).
**Diagram Explanation:**
The illustration shows a table with height \( h \). A block of mass \( M_2 \) is placed at the edge of this table. A bullet with mass \( m_1 \) is fired horizontally towards the block. After the collision, the combined mass of the bullet and block moves off the table and lands at a horizontal distance \( d \) from the base of the table. The trajectory of the combined masses is shown as a dashed line, indicating a parabolic path due to gravity.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F641d9a25-3d87-485c-a80f-61e7f09f1b46%2Fd6a8959c-a8d1-46bd-96da-511e1ea76e2c%2Fcaka3hd_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Problem Statement:**
A bullet of mass \( m_1 \) is fired into a block of mass \( M_2 \) initially at rest at the edge of a frictionless table of height \( h \). The bullet remains in the block, and after impact, the block lands a distance \( d \) from the bottom of the table. Determine the initial speed of the bullet in terms of the quantities given and the acceleration due to gravity \( g \).
**Diagram Explanation:**
The illustration shows a table with height \( h \). A block of mass \( M_2 \) is placed at the edge of this table. A bullet with mass \( m_1 \) is fired horizontally towards the block. After the collision, the combined mass of the bullet and block moves off the table and lands at a horizontal distance \( d \) from the base of the table. The trajectory of the combined masses is shown as a dashed line, indicating a parabolic path due to gravity.
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