calcualate energy lost in the ball for each scenerio, please show work, thank yo

Question

calcualate energy lost in the ball for each scenerio, please show work, thank you.

calcualate energy lost in the ball for each scenerio, please show work, thank you. In a drop-weight impact test, a 1 in. diameter spherical ball weighing 0.15 lb is dropped freely on 0.120 in. thick [0/ 45/90]35 carbon fiber-epoxy beam specimens and the rebound heights are recorded. The beam specimensare simply supported,0.5 in. wide and 6 in. long between the supports. The drop heights, rebound heights,and specimen deflections in three experiments are as follows: Drop height (ft) Rebound height (ft) Measured maximum deflection(in) 1 0.72 0.056 4 2.2 0.138 6 3.02 0.15

Explanation / Answer

Mass = 0.15 lb = 0.068 kg

case 1 :

Energy lost = mg ( h1 - h2)

1 ft = 0.3048 metre

= 0.068 * 9.81 * (1 - 0.72 ) * 0.3048

= 0.0569 J

Case 2 :

Energy lost = mg ( h1 - h2)

1 ft = 0.3048 metre

= 0.068 * 9.81 * (4 - 2.2 ) * 0.3048

= 0.366 J

Case 2 :

Energy lost = mg ( h1 - h2)

1 ft = 0.3048 metre

= 0.068 * 9.81 * (6 - 3.02 ) * 0.3048

= 0.606 J

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