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A physical pendulum consists of a vertical board of of mass 6.28 kg, length 185 cm, and width 10 cm hanging from a horizontal, frictionless axle. A bullet of mass 144 g and a purely horizontal speed v impacts the pendulum at the bottom edge of the board. The board then makes a complete circle. (a) If the bullet embedded itself in the board, what is the minimum speed the bullet could have to make this so? X (b) If the bullet passed through the board, reducing its speed by a factor of 1/6, what is the minimum speed of the bullet? (c) If the bullet is made of rubber and rebounds elastically, what is the minimum speed the bullet could have? (d) What is the rebound speed of the bullet?

A physical pendulum consists of a vertical board of of mass 6.28 kg, length 185 cm, and width 10 cm hanging from a horizontal, frictionless axle. A bullet of mass 144 g and a purely horizontal speed v impacts the pendulum at the bottom edge of the board. The board then makes a complete circle. (a) If the bullet embedded itself in the board, what is the minimum speed the bullet could have to make this so? X (b) If the bullet passed through the board, reducing its speed by a factor of 1/6, what is the minimum speed of the bullet? (c) If the bullet is made of rubber and rebounds elastically, what is the minimum speed the bullet could have? (d) What is the rebound speed of the bullet?

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A physical pendulum consists of a vertical board of of mass 6.28 kg, length 185 cm, and width 10 cm hanging from a horizontal, frictionless axle. A bullet of mass 144 g and a purely horizontal speed v impacts the pendulum at the bottom edge of the board. The board then makes a complete circle. (a) If the bullet embedded itself in the board, what is the minimum speed the bullet could have to make this so? (b) If the bullet passed through the board, reducing its speed by a factor of 1/6, what is the minimum speed of the bullet? (c) If the bullet is made of rubber and rebounds elastically, what is the minimum speed the bullet could have? (d) What is the rebound speed of the bullet?
Transcribed Image Text:A physical pendulum consists of a vertical board of of mass 6.28 kg, length 185 cm, and width 10 cm hanging from a horizontal, frictionless axle. A bullet of mass 144 g and a purely horizontal speed v impacts the pendulum at the bottom edge of the board. The board then makes a complete circle. (a) If the bullet embedded itself in the board, what is the minimum speed the bullet could have to make this so? (b) If the bullet passed through the board, reducing its speed by a factor of 1/6, what is the minimum speed of the bullet? (c) If the bullet is made of rubber and rebounds elastically, what is the minimum speed the bullet could have? (d) What is the rebound speed of the bullet?
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