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Two 4.50 kg balls are attached to the ends of a thin rod of length 72.0 cm and negligible mass. The rod is free to rotate in a vertical plane without friction about a horizontal axis through its center. With the rod initially horizontal (the figure), a 45.0g wad of wet putty drops onto one of the balls, hitting it with a speed of 4.51 m/s and then sticking to it. (a) What is the angular speed of the system just after the putty wad hits? (b) What is the ratio of the kinetic energy of the system after the collision to that of the putty wad just before? (c) Through what angle (deg) will the system rotate before it momentarily stops? Putty wad Rotation аxis (a) Number 0.0623 Units rad/s (b) Number 0.00498 Units No units (c) Number i 269 Units ° (degrees)

Two 4.50 kg balls are attached to the ends of a thin rod of length 72.0 cm and negligible mass. The rod is free to rotate in a vertical plane without friction about a horizontal axis through its center. With the rod initially horizontal (the figure), a 45.0g wad of wet putty drops onto one of the balls, hitting it with a speed of 4.51 m/s and then sticking to it. (a) What is the angular speed of the system just after the putty wad hits? (b) What is the ratio of the kinetic energy of the system after the collision to that of the putty wad just before? (c) Through what angle (deg) will the system rotate before it momentarily stops? Putty wad Rotation аxis (a) Number 0.0623 Units rad/s (b) Number 0.00498 Units No units (c) Number i 269 Units ° (degrees)

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**Problem Description:** Two 4.50 kg balls are attached to the ends of a thin rod of length 72.0 cm and negligible mass. The rod is free to rotate in a vertical plane without friction about a horizontal axis through its center. With the rod initially horizontal, a 45.0 g wad of wet putty drops onto one of the balls, hitting it with a speed of 4.51 m/s and then sticking to it. **Questions:** (a) What is the angular speed of the system just after the putty wad hits? (b) What is the ratio of the kinetic energy of the system after the collision to that of the putty wad just before? (c) Through what angle (degrees) will the system rotate before it momentarily stops? **Diagram Explanation:** The diagram shows a horizontal rod with a ball on each end. A "Putty wad" is shown above one ball, with an arrow indicating it is falling towards the ball. The center of the rod is marked as the "Rotation axis." **Answers:** (a) Angular speed of the system: **0.0623 rad/s** (b) Ratio of kinetic energies: **0.00498** (c) Angle of rotation: **269 degrees**
Transcribed Image Text:**Problem Description:** Two 4.50 kg balls are attached to the ends of a thin rod of length 72.0 cm and negligible mass. The rod is free to rotate in a vertical plane without friction about a horizontal axis through its center. With the rod initially horizontal, a 45.0 g wad of wet putty drops onto one of the balls, hitting it with a speed of 4.51 m/s and then sticking to it. **Questions:** (a) What is the angular speed of the system just after the putty wad hits? (b) What is the ratio of the kinetic energy of the system after the collision to that of the putty wad just before? (c) Through what angle (degrees) will the system rotate before it momentarily stops? **Diagram Explanation:** The diagram shows a horizontal rod with a ball on each end. A "Putty wad" is shown above one ball, with an arrow indicating it is falling towards the ball. The center of the rod is marked as the "Rotation axis." **Answers:** (a) Angular speed of the system: **0.0623 rad/s** (b) Ratio of kinetic energies: **0.00498** (c) Angle of rotation: **269 degrees**
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