1. A 4kg ball is launched into the air from the ground with a speed of 18m/s. At the top of its arc, it is moving at 7m/s. If air resistance did 100J of work on the ball, how high did the ball go? Let ground level be h=0. Ef = 18m/s h=0 - E₁ + 7m/s h W

College Physics
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Chapter1: Units, Trigonometry. And Vectors
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**Problem Description:**

A 4 kg ball is launched into the air from the ground with a speed of 18 m/s. At the top of its arc, it is moving at 7 m/s. If air resistance did 100 J of work on the ball, how high did the ball go? Let ground level be \( h = 0 \).

**Diagram Explanation:**

A diagram shows the trajectory of the ball:
- The ball is launched with an initial speed of 18 m/s from the ground level labeled as \( h = 0 \).
- At the highest point of the arc, the ball's speed is 7 m/s.
- The height \( h \) represents the maximum height the ball reaches before beginning to descend.

**Equation:**

The problem includes a tabular equation for energy balance:

\[
E_f = E_i + W
\]

**Table Explanation:**

- **\( E_f \)**: Final energy
- **\( E_i \)**: Initial energy
- **\( W \)**: Work done (in this case, by air resistance, which is given as 100 J)

In the context of this problem, you would typically use the conservation of mechanical energy principle with the work-energy theorem to solve for the height \( h \).
Transcribed Image Text:**Problem Description:** A 4 kg ball is launched into the air from the ground with a speed of 18 m/s. At the top of its arc, it is moving at 7 m/s. If air resistance did 100 J of work on the ball, how high did the ball go? Let ground level be \( h = 0 \). **Diagram Explanation:** A diagram shows the trajectory of the ball: - The ball is launched with an initial speed of 18 m/s from the ground level labeled as \( h = 0 \). - At the highest point of the arc, the ball's speed is 7 m/s. - The height \( h \) represents the maximum height the ball reaches before beginning to descend. **Equation:** The problem includes a tabular equation for energy balance: \[ E_f = E_i + W \] **Table Explanation:** - **\( E_f \)**: Final energy - **\( E_i \)**: Initial energy - **\( W \)**: Work done (in this case, by air resistance, which is given as 100 J) In the context of this problem, you would typically use the conservation of mechanical energy principle with the work-energy theorem to solve for the height \( h \).
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