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PI.15 The ballistic pendulum is used to measure the speed of a bullet. It consists of a wooden plank hung from a horizontal plane. If a bullet is shot into the wooden plank, the bullet gets lodged into the plank. Thereafter, the plank and the embedded bullet move together. The collision time is very small; i.e., the time taken by the bullet to get embedded in the wooden plank is very short. M+ m h

PI.15 The ballistic pendulum is used to measure the speed of a bullet. It consists of a wooden plank hung from a horizontal plane. If a bullet is shot into the wooden plank, the bullet gets lodged into the plank. Thereafter, the plank and the embedded bullet move together. The collision time is very small; i.e., the time taken by the bullet to get embedded in the wooden plank is very short. M+ m h

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PI.15 The ballistic pendulum is used to measure the speed of a bullet. It consists of a wooden plank hung from a horizontal plane. If a bullet is shot into the wooden plank, the bullet gets lodged into the plank. Thereafter, the plank and the embedded bullet move together. The collision time is very small; i.e., the time taken by the bullet to get embedded in the wooden plank is very short. M+ m h m M There is no other external horizontal force acting on the system during collision. The bullet gets lodged so fast that during this collision process, the wire with which the wooden plank is suspended remains vertical at, and during, the time of collision. A bullet of mass m traveling from the left (as shown in the figure) with initial velocity v striking the wooden plank at rest. The 'plank plus the bullet' gets raised to a maximum height h. (a) Obtain the expression for conservation of momentum for this system (b) If the mass of the bullet and that of the wooden plank is, respectively, 8 g and 2400 g, and the horizontal speed at which the bullet impacts the wooden plank is 1500 ms", determine the maximum displacement of the wooden plank.
Transcribed Image Text:PI.15 The ballistic pendulum is used to measure the speed of a bullet. It consists of a wooden plank hung from a horizontal plane. If a bullet is shot into the wooden plank, the bullet gets lodged into the plank. Thereafter, the plank and the embedded bullet move together. The collision time is very small; i.e., the time taken by the bullet to get embedded in the wooden plank is very short. M+ m h m M There is no other external horizontal force acting on the system during collision. The bullet gets lodged so fast that during this collision process, the wire with which the wooden plank is suspended remains vertical at, and during, the time of collision. A bullet of mass m traveling from the left (as shown in the figure) with initial velocity v striking the wooden plank at rest. The 'plank plus the bullet' gets raised to a maximum height h. (a) Obtain the expression for conservation of momentum for this system (b) If the mass of the bullet and that of the wooden plank is, respectively, 8 g and 2400 g, and the horizontal speed at which the bullet impacts the wooden plank is 1500 ms", determine the maximum displacement of the wooden plank.
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