**Problem Statement:**A pitching machine throws a 0.5-kg ball toward the wall with an initial velocity \( v_A = 12 \, \text{m/s} \) as shown. Suppose that the coefficient of restitution \( e = 0.5 \), \( a = 4 \, \text{m} \), \( h = 1.3 \, \text{m} \). **Figure Explanation:**The diagram displays a scenario involving a pitching machine positioned at point \( A \). The machine launches a ball towards a vertical wall at point \( B \). The launch angle of the ball is \( 30^\circ \) above the horizontal. The setup includes a horizontal distance \( a = 4 \, \text{m} \) from the base of the machine to the wall and a vertical height \( h = 1.3 \, \text{m} \) above the base level.**Part A:**Determine the magnitude of the velocity at which it strikes the wall at \( B \).- Express your answer to three significant figures and include the appropriate units.\[ (v_B)_1 = \]**Part B:**Determine the angle between the \( x \) axis and the velocity at which the ball strikes the wall, measured counterclockwise from the positive \( x \) axis.- Express your answer using three significant figures.\[ \theta_1 = \]

Introduction With the use of Newton's equation of motion, we will determine the speed at which the…

with an initial velocity vA = 12 A pitching machine throws the 0.5-kg ball toward the wall m/s as shown. Suppose that the coefficient of restitution e=0.5, a = 4 m, h = 1.3 m. (Eigure 1) Figure 30⁰ < 1 of 1 > Part A Determine the magnitude of the velocity at which it strikes the wall at B. Express your answer to three significant figures and include the appropriate units. (VB)1 = Submit Part B μÃ 0₁ = Value Request Answer Units Determine the angle between the x axis and the velocity at which the ball strikes the wall, measured counterclockwise from the positive x axis. Express your answer using three significant figures. 195] ΑΣΦ | 4t | vec ? ?

with an initial velocity vA = 12 A pitching machine throws the 0.5-kg ball toward the wall m/s as shown. Suppose that the coefficient of restitution e=0.5, a = 4 m, h = 1.3 m. (Eigure 1) Figure 30⁰ < 1 of 1 > Part A Determine the magnitude of the velocity at which it strikes the wall at B. Express your answer to three significant figures and include the appropriate units. (VB)1 = Submit Part B μÃ 0₁ = Value Request Answer Units Determine the angle between the x axis and the velocity at which the ball strikes the wall, measured counterclockwise from the positive x axis. Express your answer using three significant figures. 195] ΑΣΦ | 4t | vec ? ?

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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Conservation of Energy

In physics, the rule of the conservation of energy states that energy doesn’t disappear from the atmosphere; instead, it changes its form from one type to another. Energy is one of the most important physical quantities in nature, and it cannot be created or destroyed — only transformed.

Question

**Problem Statement:**

A pitching machine throws a 0.5-kg ball toward the wall with an initial velocity \( v_A = 12 \, \text{m/s} \) as shown. Suppose that the coefficient of restitution \( e = 0.5 \), \( a = 4 \, \text{m} \), \( h = 1.3 \, \text{m} \).

**Figure Explanation:**

The diagram displays a scenario involving a pitching machine positioned at point \( A \). The machine launches a ball towards a vertical wall at point \( B \). The launch angle of the ball is \( 30^\circ \) above the horizontal. The setup includes a horizontal distance \( a = 4 \, \text{m} \) from the base of the machine to the wall and a vertical height \( h = 1.3 \, \text{m} \) above the base level.

**Part A:**

Determine the magnitude of the velocity at which it strikes the wall at \( B \).

- Express your answer to three significant figures and include the appropriate units.

\[ (v_B)_1 = \]

**Part B:**

Determine the angle between the \( x \) axis and the velocity at which the ball strikes the wall, measured counterclockwise from the positive \( x \) axis.

- Express your answer using three significant figures.

\[ \theta_1 = \]

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