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As shown in the figure (Figure 1), a superball with mass m equal to 50 grams is dropped from a height of hi=1.5m . It collides with a table, then bounces up to a height of hf=1.0m . The duration of the collision (the time during which the superball is in contact with the table) is tc=15ms . In this problem, take the positive y direction to be upward, and use g=9.8m/s2 for the magnitude of the acceleration due to gravity. Neglect air resistance.
Find the y component of the momentum, pbefore,ypbefore,y, of the ball immediately before the collision.
Find the y component of the momentum of the ball immediately after the collision, that is, just as it is leaving the table.
Find JyJyJ_y, the y component of the impulse imparted to the ball during the collision.
Find the y component of the time-averaged force Favg,yFavg,y, in newtons, that the table exerts on the ball.
Find Kafter−KbeforeKafter−Kbefore, the change in the kinetic energy of the ball during the collision, in joules.
Transcribed Image Text:The diagram illustrates the motion of a ball before, during, and after it hits a table. The diagram is divided into three stages: "Before," "During," and "After."
1. **Before**:
- The ball is shown above the table, moving downward as indicated by a green arrow.
- The initial height from the table is labeled as \( h_i \).
2. **During**:
- The ball is in contact with the table, at rest on the surface.
3. **After**:
- The ball is shown moving upwards from the table, indicated by a green arrow pointing upward.
- The height reached by the ball after bouncing is labeled as \( h_f \).
The vertical axis is labeled with a positive \( y \), indicating the direction of increasing height. This diagram likely represents the concept of projectile motion and energy conservation during a collision.
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