A physical pendulum consists of a vertical board of of mass 6.11 kg, length 176 cm, and width 11 cm hanging from a horizontal, frictionless axle. A bullet of mass 145 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? 151.2 m/s ✓ (b) If the bullet passed through the board, reducing its speed by 1/6 its original value, what is the minimum speed of the bullet? 190 m/s x (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 6.11 kg, length 176 cm, and width 11 cm hanging from a horizontal, frictionless axle. A bullet of mass 145 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?
151.2 m/s
(b) If the bullet passed through the board, reducing its speed by 1/6 its original value, what is the minimum speed of the bullet?
190 m/s
X
(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 6.11 kg, length 176 cm, and width 11 cm hanging from a horizontal, frictionless axle. A bullet of mass 145 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? 151.2 m/s (b) If the bullet passed through the board, reducing its speed by 1/6 its original value, what is the minimum speed of the bullet? 190 m/s X (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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