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I drop a 0.5 kg ceramic plate on the ground and it breaks into three pieces. I recover two of the pieces; one is 0.15 kg and located a distance 2 m away from the site of impact, in a 8. direction 87° from an arbitrary axis. The second is 0.3 kg and located a distance 1 m away in a direction 238° from the same axis. Where should I search for the third piece? Assume that after the plate broke, the pieces slid along the ground and experienced a constant frictional force of 0.5 N. Hint: Write the equation for conservation of energy for each of the 3 pieces after the collision. Write equations for conservation of momentum in the x- and y-directions at the time of the collision. You should have five equations with five unknowns (v1, V2, V3, 0, and d, where d is the distance travelled by the third piece). Find 0 and d.

I drop a 0.5 kg ceramic plate on the ground and it breaks into three pieces. I recover two of the pieces; one is 0.15 kg and located a distance 2 m away from the site of impact, in a 8. direction 87° from an arbitrary axis. The second is 0.3 kg and located a distance 1 m away in a direction 238° from the same axis. Where should I search for the third piece? Assume that after the plate broke, the pieces slid along the ground and experienced a constant frictional force of 0.5 N. Hint: Write the equation for conservation of energy for each of the 3 pieces after the collision. Write equations for conservation of momentum in the x- and y-directions at the time of the collision. You should have five equations with five unknowns (v1, V2, V3, 0, and d, where d is the distance travelled by the third piece). Find 0 and d.

Solid Waste Engineering
Solid Waste Engineering
3rd Edition
ISBN:9781305635203
Author:Worrell, William A.
Publisher:Worrell, William A.
Chapter2: Municipal Solid Waste Characteristics And Quantities
Section: Chapter Questions
Problem 2.7P
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I drop a 0.5 kg ceramic plate on the ground and it breaks into three pieces. I recover two of the pieces; one is 0.15 kg and located a distance 2 m away from the site of impact, in a 8. direction 87° from an arbitrary axis. The second is 0.3 kg and located a distance 1 m away in a direction 238° from the same axis. Where should I search for the third piece? Assume that after the plate broke, the pieces slid along the ground and experienced a constant frictional force of 0.5 N. Hint: Write the equation for conservation of energy for each of the 3 pieces after the collision. Write equations for conservation of momentum in the x- and y-directions at the time of the collision. You should have five equations with five unknowns (v1, V2, V3, 0, and d, where d is the distance travelled by the third piece). Find 0 and d.
Transcribed Image Text:I drop a 0.5 kg ceramic plate on the ground and it breaks into three pieces. I recover two of the pieces; one is 0.15 kg and located a distance 2 m away from the site of impact, in a 8. direction 87° from an arbitrary axis. The second is 0.3 kg and located a distance 1 m away in a direction 238° from the same axis. Where should I search for the third piece? Assume that after the plate broke, the pieces slid along the ground and experienced a constant frictional force of 0.5 N. Hint: Write the equation for conservation of energy for each of the 3 pieces after the collision. Write equations for conservation of momentum in the x- and y-directions at the time of the collision. You should have five equations with five unknowns (v1, V2, V3, 0, and d, where d is the distance travelled by the third piece). Find 0 and d.
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