You have been asked to design a "ballistic spring system" to measure the speed of bullets. A bullet of mass m is fired into a block of mass M . The block, with the embedded bullet, then slides across a frictionless table and collides with a horizontal spring whose spring constant is k . The opposite end of the spring is anchored to a wall. The spring's maximum compression d is measured.

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You have been asked to design a "ballistic spring system" to
measure the speed of bullets. A bullet of mass m is fired
into a block of mass M. The block, with the embedded
bullet, then slides across a frictionless table and collides with
a horizontal spring whose spring constant is k. The opposite
end of the spring is anchored to a wall. The spring's
maximum compression d is measured.
Part A
Find an expression for the bullet's initial speed vr in terms of m, M, k, and d
k(m+M)
VB = d.
m2
Submit
Previous Answers
v Correct
Part B
What was the speed of a 1.80 g bullet if the block's mass is 1.20 kg and if the spring, with k = 49.0 N/m , was compressed by 16.0 cm ?
"να ΑΣφ-
VB =
m/s
Submit
Request Answer
Part C
What percentage of the bullet's initial kinetic energy is not converted into spring potential energy?
Enter your answer to five significant figures.
%
Transcribed Image Text:You have been asked to design a "ballistic spring system" to measure the speed of bullets. A bullet of mass m is fired into a block of mass M. The block, with the embedded bullet, then slides across a frictionless table and collides with a horizontal spring whose spring constant is k. The opposite end of the spring is anchored to a wall. The spring's maximum compression d is measured. Part A Find an expression for the bullet's initial speed vr in terms of m, M, k, and d k(m+M) VB = d. m2 Submit Previous Answers v Correct Part B What was the speed of a 1.80 g bullet if the block's mass is 1.20 kg and if the spring, with k = 49.0 N/m , was compressed by 16.0 cm ? "να ΑΣφ- VB = m/s Submit Request Answer Part C What percentage of the bullet's initial kinetic energy is not converted into spring potential energy? Enter your answer to five significant figures. %
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