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5.(a), A Ballistic Spring Device is designed to measure the speed of bullet of mass m with velocity VB. See diagram below. Assume the collision of the bullet with the block of wood of mass M is completely inelastic and that the combined mass of embedded bullet and the wood has an initial velocity u. Assumed that this happens quickly so that the combined mass, (M + m) has velocity u before hitting the spring. The spring constant is k and the measured maximum compression of the spring is D. Derive an expression for VB in terms of m, M, k, and D, m =OVB x=0 M M at rest spring --D--O x=0 [+m X=D (M+ m) momentarily at rest when spring is at maximum compression, where x = D

5.(a), A Ballistic Spring Device is designed to measure the speed of bullet of mass m with velocity VB. See diagram below. Assume the collision of the bullet with the block of wood of mass M is completely inelastic and that the combined mass of embedded bullet and the wood has an initial velocity u. Assumed that this happens quickly so that the combined mass, (M + m) has velocity u before hitting the spring. The spring constant is k and the measured maximum compression of the spring is D. Derive an expression for VB in terms of m, M, k, and D, m =OVB x=0 M M at rest spring --D--O x=0 [+m X=D (M+ m) momentarily at rest when spring is at maximum compression, where x = D

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5.(a), A Ballistic Spring Device is designed to measure the speed of bullet of mass m with velocity VB. See diagram below. Assume the collision of the bullet with the block of wood of mass M is completely inelastic and that the combined mass of embedded bullet and the wood has an initial velocity u. Assumed that this happens quickly so that the combined mass, (M + m) has velocity u before hitting the spring. The spring constant is k and the measured maximum compression of the spring is D. Derive an expression for V₁ in terms of m, M, k, and D, m =OVB x=0 M M at rest spring --D--O x=0 [+m X=D (M+ m) momentarily at rest when spring is at maximum compression, where x = D
Transcribed Image Text:5.(a), A Ballistic Spring Device is designed to measure the speed of bullet of mass m with velocity VB. See diagram below. Assume the collision of the bullet with the block of wood of mass M is completely inelastic and that the combined mass of embedded bullet and the wood has an initial velocity u. Assumed that this happens quickly so that the combined mass, (M + m) has velocity u before hitting the spring. The spring constant is k and the measured maximum compression of the spring is D. Derive an expression for V₁ in terms of m, M, k, and D, m =OVB x=0 M M at rest spring --D--O x=0 [+m X=D (M+ m) momentarily at rest when spring is at maximum compression, where x = D
5.(b) Given m = 0.030 kg, M = 10 kg, k = 6.74 N/m and D = 0.583 meters, find VB.
Transcribed Image Text:5.(b) Given m = 0.030 kg, M = 10 kg, k = 6.74 N/m and D = 0.583 meters, find VB.
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