The 0.5-kg ball is fired from the tube at A with a velocity of v 7 m/s. The coefficient of restitution between the ball and the surface is e = 0.8. Suppose that a = 1.5 m. (Figure 1) Figure 30° B 1 of 1 Part A Determine the height h after it bounces off the surface. Express your answer to three significant figures and include the appropriate units h = CO Submit 7 Value μÁ Provide Feedback Request Answer Units ?

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
Problem 1.1MA
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**Projectile Motion Problem**

**Context:** A 0.5-kg ball is fired from a tube at point \( A \) with an initial velocity of \( v = 7 \, \text{m/s} \). The tube is angled at \( 30^\circ \) from the horizontal. The coefficient of restitution between the ball and the surface is \( e = 0.8 \). The vertical height from which the ball is launched is \( a = 1.5 \, \text{m} \).

**Objective:** Determine the height \( h \) after the ball bounces off the surface.

**Instructions:** Express your answer to three significant figures and include the appropriate units.

**Diagram Explanation:**

- The diagram shows the trajectory of the ball from point \( A \) to point \( C \).
- The ball is initially launched at an angle of \( 30^\circ \) above the horizontal from height \( a \).
- The ball follows a parabolic path, first descending to point \( B \) on the surface and then ascending to point \( C \) after bouncing.
- The maximum height after the bounce is labeled as \( h \).

**Solution Format:**

- Calculate the height \( h \) using the provided data.
- Enter the value in the designated input box, ensuring to use three significant figures and correct units.

**Feedback Option:**

- A feedback option is available for users to provide input on the problem or solution process.
Transcribed Image Text:**Projectile Motion Problem** **Context:** A 0.5-kg ball is fired from a tube at point \( A \) with an initial velocity of \( v = 7 \, \text{m/s} \). The tube is angled at \( 30^\circ \) from the horizontal. The coefficient of restitution between the ball and the surface is \( e = 0.8 \). The vertical height from which the ball is launched is \( a = 1.5 \, \text{m} \). **Objective:** Determine the height \( h \) after the ball bounces off the surface. **Instructions:** Express your answer to three significant figures and include the appropriate units. **Diagram Explanation:** - The diagram shows the trajectory of the ball from point \( A \) to point \( C \). - The ball is initially launched at an angle of \( 30^\circ \) above the horizontal from height \( a \). - The ball follows a parabolic path, first descending to point \( B \) on the surface and then ascending to point \( C \) after bouncing. - The maximum height after the bounce is labeled as \( h \). **Solution Format:** - Calculate the height \( h \) using the provided data. - Enter the value in the designated input box, ensuring to use three significant figures and correct units. **Feedback Option:** - A feedback option is available for users to provide input on the problem or solution process.
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