A block of wood is attached to a very lightweight metal rod, which is attached to...
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A block of wood is attached to a very lightweight metal rod, which is attached to a fixed pivot point on a table. The block is able to slide on the table with negligible friction, and the pivot is also free to rotate with negligible friction. The block's mass is M and the rod's length is {. A bullet is moving parallel to the table and perpendicular to the rod when it collides and embeds within the block. The bullet's speed just before entering the block is v and its mass is m. M. (a) Find the angular momentum of the combined bullet-block system about the vertical pivot axis. (Use any variable or symbol stated above as necessary. Enter the magnitude.) L = (m + M)vl x Consider the bullet just before it enters the block. What is its momentum? What is its angular momentum with respect to the pivot? By conservation of angular momentum, what then must be the angular momentum of the system just after the collision? (b) Find the fraction of the original kinetic energy of the bullet that is converted into internal energy within the bullet-block system during the collision. (Use any variable or symbol stated above as necessary.) AK m K, (M+ m) What is the initial kinetic energy of the bullet before the collision? Using conservation of angular momentum, can you find the speed of the system just after the collision? Knowing the speed, what is the final kinetic energy of the system after the collision? Can you then find the difference between the two, divided by the original? A block of wood is attached to a very lightweight metal rod, which is attached to a fixed pivot point on a table. The block is able to slide on the table with negligible friction, and the pivot is also free to rotate with negligible friction. The block's mass is M and the rod's length is {. A bullet is moving parallel to the table and perpendicular to the rod when it collides and embeds within the block. The bullet's speed just before entering the block is v and its mass is m. M. (a) Find the angular momentum of the combined bullet-block system about the vertical pivot axis. (Use any variable or symbol stated above as necessary. Enter the magnitude.) L = (m + M)vl x Consider the bullet just before it enters the block. What is its momentum? What is its angular momentum with respect to the pivot? By conservation of angular momentum, what then must be the angular momentum of the system just after the collision? (b) Find the fraction of the original kinetic energy of the bullet that is converted into internal energy within the bullet-block system during the collision. (Use any variable or symbol stated above as necessary.) AK m K, (M+ m) What is the initial kinetic energy of the bullet before the collision? Using conservation of angular momentum, can you find the speed of the system just after the collision? Knowing the speed, what is the final kinetic energy of the system after the collision? Can you then find the difference between the two, divided by the original?
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Related Book For
Vector Mechanics for Engineers Statics and Dynamics
ISBN: 978-0073212227
8th Edition
Authors: Ferdinand Beer, E. Russell Johnston, Jr., Elliot Eisenberg, William Clausen, David Mazurek, Phillip Cornwell
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