You have been asked to design a "ballistic spring system" to measure the speed of
Chapter 10, Problem 67(choose chapter or problem)
You have been asked to design a "ballistic spring system" to measure the speed of bullets. A bullet of mass mis fired into a blockof mass M. The block, with the embedded bullet, then slides acrossa fri ctionless table and collides with a horizontal spring whosespring constant is k. The opposite end of the spring is anchored to awall. The spring's maximum compression dis measured.a. Find an expression for the bullet's initial speed v8 in termsof 111 , M, k, and d.Hint: This is a two-part problem. The bullet's collision withthe block is an inelastic collision. What quantity is conserved inan inelastic collision? Subsequently the block hits a spring on afri ctionless surface. What quantity is conserved in this coll ision?b. What was the speed of a 5.0 g bullet ifthe block's mass is 2.0 kgand ifthe spring, with k = 50 N/m, was compressed by 10 cm?c. What fraction of the bullet's initial kinetic energy is "lost"?Where did it go?
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