shown in the figure (Figure 1), a superball with mass m equal to 50 grams is oped from a height of h₁ = 1.5 m. It collides with a table, then bounces up to eight of he=1.0 m. The duration of the collision (the time during which the erball is in contact with the table) is te = 15 ms. In this problem, take the itive y direction to be upward, and use g = 9.8 m/s² for the magnitude of the eleration due to gravity. Neglect air resistance. re hi Before During After h₁ 1 of 1 > Find they component of the time-averaged force Favg.y, in newtons, that the table exerts on the ball. Express your answer numerically, to two significant figures. ► View Available Hint(s) Favy Submit Part E IV—| ΑΣΦ Kafter - Kbefore = Submit Find Kafter - Kbefore, the change in the kinetic energy of the ball during the collision, in joules. Express your answer numerically, to two significant figures. ► View Available Hint(s) Provide Feedback ? 197| ΑΣΦ N www ? J

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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 \( h_i = 1.5 \, \text{m} \). It collides with a table, then bounces up to a height of \( h_f = 1.0 \, \text{m} \). The duration of the collision (the time during which the superball is in contact with the table) is \( t_c = 15 \, \text{ms} \). In this problem, take the positive \( y \) direction to be upward, and use \( g = 9.8 \, \text{m/s}^2 \) for the magnitude of the acceleration due to gravity. Neglect air resistance.

### Figure Explanation:
The figure illustrates the motion of the superball in three stages:
1. **Before**: The ball is at an initial height \( h_i \) above the table.
2. **During**: The ball is in contact with the table, causing it to compress and exert force.
3. **After**: The ball bounces back to a height \( h_f \).

### Problem Components:
**Part D**
- **Objective**: Find the \( y \)-component of the time-averaged force \( F_{\text{avg},y} \), in newtons, that the table exerts on the ball.
- **Instructions**: Express your answer numerically, to two significant figures.
- **Input Box**: A field to enter the calculated force.

**Part E**
- **Objective**: Find \( K_{\text{after}} - K_{\text{before}} \), the change in the kinetic energy of the ball during the collision, in joules.
- **Instructions**: Express your answer numerically, to two significant figures.
- **Input Box**: A field to enter the change in kinetic energy.

Students should use the given equations of motion and principles of energy conservation to solve for these quantities, accounting for the given parameters and initial conditions.
Transcribed Image Text:As shown in the figure (Figure 1), a superball with mass \( m \) equal to 50 grams is dropped from a height of \( h_i = 1.5 \, \text{m} \). It collides with a table, then bounces up to a height of \( h_f = 1.0 \, \text{m} \). The duration of the collision (the time during which the superball is in contact with the table) is \( t_c = 15 \, \text{ms} \). In this problem, take the positive \( y \) direction to be upward, and use \( g = 9.8 \, \text{m/s}^2 \) for the magnitude of the acceleration due to gravity. Neglect air resistance. ### Figure Explanation: The figure illustrates the motion of the superball in three stages: 1. **Before**: The ball is at an initial height \( h_i \) above the table. 2. **During**: The ball is in contact with the table, causing it to compress and exert force. 3. **After**: The ball bounces back to a height \( h_f \). ### Problem Components: **Part D** - **Objective**: Find the \( y \)-component of the time-averaged force \( F_{\text{avg},y} \), in newtons, that the table exerts on the ball. - **Instructions**: Express your answer numerically, to two significant figures. - **Input Box**: A field to enter the calculated force. **Part E** - **Objective**: Find \( K_{\text{after}} - K_{\text{before}} \), the change in the kinetic energy of the ball during the collision, in joules. - **Instructions**: Express your answer numerically, to two significant figures. - **Input Box**: A field to enter the change in kinetic energy. Students should use the given equations of motion and principles of energy conservation to solve for these quantities, accounting for the given parameters and initial conditions.
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