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Problem 8: A massless spring (with force constant k = 182 N/m) connects a wall and a block of wood. The system is initially at rest, with the spring unstretched. The block has mass M = 57.1 g and is able to move without friction on a table. A gun is positioned to fire a bullet of mass m = 9.3 g into the block along the spring axis. After the gun is fired, the bullet gets embedded in the block, and the spring is compressed a maximum distance d = 0.96 m. M www Part (a) Find an equation for the speed of the bullet v, just before it hits the block, in terms of the variables given in the problem statement. SchematicChoice : kd? d v = M M k(M + m) v = d Vk(M + m) v = m d v = m d m |(M+m) v = d Vk(M +m) Vk(M +m) v = Part (b) In meters per second, what is the speed of the bullet v before it enters the block? Numeric : A numeric value is expected and not an expression.

Problem 8: A massless spring (with force constant k = 182 N/m) connects a wall and a block of wood. The system is initially at rest, with the spring unstretched. The block has mass M = 57.1 g and is able to move without friction on a table. A gun is positioned to fire a bullet of mass m = 9.3 g into the block along the spring axis. After the gun is fired, the bullet gets embedded in the block, and the spring is compressed a maximum distance d = 0.96 m. M www Part (a) Find an equation for the speed of the bullet v, just before it hits the block, in terms of the variables given in the problem statement. SchematicChoice : kd? d v = M M k(M + m) v = d Vk(M + m) v = m d v = m d m |(M+m) v = d Vk(M +m) Vk(M +m) v = Part (b) In meters per second, what is the speed of the bullet v before it enters the block? Numeric : A numeric value is expected and not an expression.

College Physics
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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Problem 8: A massless spring (with force constant k = 182 N/m) connects a wall and a block of wood. The system is initially at rest, with the spring unstretched. The block has mass M = 57.1 g and is able to move without friction on a table. A gun is positioned to fire a bullet of mass m = 9.3 g into the block along the spring axis. After the gun is fired, the bullet gets embedded in the block, and the spring is compressed a maximum distance d = 0.96 m. M wwww m - -- ---- Part (a) Find an equation for the speed of the bullet v, just before it hits the block, in terms of the variables given in the problem statement. SchematicChoice : kd? v = m d M k(M + m) V =- d Vk(M + m) v = M d V = - m d m (М+ m) m Vk(M +m) /k(M + m) V = v = Part (b) In meters per second, what is the speed of the bullet v before it enters the block? Numeric : A numeric value is expected and not an expression. y =
Transcribed Image Text:Problem 8: A massless spring (with force constant k = 182 N/m) connects a wall and a block of wood. The system is initially at rest, with the spring unstretched. The block has mass M = 57.1 g and is able to move without friction on a table. A gun is positioned to fire a bullet of mass m = 9.3 g into the block along the spring axis. After the gun is fired, the bullet gets embedded in the block, and the spring is compressed a maximum distance d = 0.96 m. M wwww m - -- ---- Part (a) Find an equation for the speed of the bullet v, just before it hits the block, in terms of the variables given in the problem statement. SchematicChoice : kd? v = m d M k(M + m) V =- d Vk(M + m) v = M d V = - m d m (М+ m) m Vk(M +m) /k(M + m) V = v = Part (b) In meters per second, what is the speed of the bullet v before it enters the block? Numeric : A numeric value is expected and not an expression. y =
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