A ballistic pendulum that no one would ever build uses a block of wood, an angle
ID: 1260649 • Letter: A
Question
A ballistic pendulum that no one would ever build uses a block of wood, an angled ramp, and a spring to calculate the initial speed of a bullet (see figure). A 25 g bullet is fired into a 5.5 kg block that is initially at rest. The block/bullet combo slides up the ramp (uK= 0.450) and onto the spring (k = 130 N/m). The distance between the face of the block and the spring is 0.125 m. If the spring compresses 0.10 m, what was the initial velocity of the bullet?
A ballistic pendulum that no one would ever build uses a block of wood, an angled ramp, and a spring to calculate the initial speed of a bullet (see figure). A 25 g bullet is fired into a 5.5 kg block that is initially at rest. The block/bullet combo slides up the ramp (uK= 0.450) and onto the spring (k = 130 N/m). The distance between the face of the block and the spring is 0.125 m. If the spring compresses 0.10 m, what was the initial velocity of the bullet?Explanation / Answer
0.5*m*v^2 - uk*(M+m)*g*cos55*(d+x) =
0.5*k*x^2 + (M+m)*g*(d+x)*sin55
0.5*m*v^2 - (0.45*(5.5+0.025)*9.8*0.573*(0.125+0.1)) = (0.5*130*0.1*0.1)+((5.5+0.025)*9.8*(0.125+0.1)*0.8191)
0.5*m*v^2 = 13.77
0.5*0.025*v^2 = 13.77
v = 33.19 m/s
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