A tennis player strikes the tennis ball with her racket when the ball is at the uppermost point of its trajectory as shown. The horizontal velocity of the ball just before impact with the racket is v1 = 50 ft/sec, and just after impact its velocity is v2 = 70 ft/sec directed at the 15° angle as shown. If the 2-oz ball is in contact with the racket for 0.02 sec, determine the magnitude of the average force R exerted by the racket on the ball. Also determine the angle β made by R with the horizontal. **Transcription and Explanation for Educational Website****Image Description:**The image depicts a person in a sports pose about to release a disc, similar to the action in disc throwing sports. Two different velocity vectors, \( v_1 \) and \( v_2 \), are illustrated. The direction of the first velocity vector, \( v_1 \), is shown in green and oriented horizontally, parallel to the ground. The second velocity vector, \( v_2 \), is also in green but angled upward from \( v_1 \) at 15 degrees. **Diagram Explanation:**- **Vectors and Angles:** - \( v_1 \): This green vector represents the initial velocity of the disc moving horizontally from the person's hand. - \( v_2 \): This green vector shows a second velocity in the trajectory of the disc, angled upwards by 15 degrees relative to the initial velocity vector \( v_1 \).- **Trajectory Path:** - The dashed orange lines illustrate the projected path or trajectory of the disc after it is thrown. The path includes an upward arc followed by a downward curve, simulating how the disc would travel through the air.This diagram is useful for understanding basic projectile motion, where an object is launched into motion with both a horizontal and vertical component, influenced by gravity, ultimately following a parabolic trajectory. The angle and magnitude of the initial velocities play a crucial role in determining the range and height of the projectile's path.

The velocity vector v1 is given by, The velocity vector v2 is given by,

Answered: A tennis player strikes the tennis ball…

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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A tennis player strikes the tennis ball with her racket when the ball is at the uppermost point of its trajectory as shown. The horizontal velocity of the ball just before impact with the racket is v1 = 50 ft/sec, and just after impact its velocity is v2 = 70 ft/sec directed at the 15° angle as shown. If the 2-oz ball is in contact with the racket for 0.02 sec, determine the magnitude of the average force R exerted by the racket on the ball. Also determine the angle β made by R with the horizontal.

**Transcription and Explanation for Educational Website**

**Image Description:**

The image depicts a person in a sports pose about to release a disc, similar to the action in disc throwing sports. Two different velocity vectors, \( v_1 \) and \( v_2 \), are illustrated. The direction of the first velocity vector, \( v_1 \), is shown in green and oriented horizontally, parallel to the ground. The second velocity vector, \( v_2 \), is also in green but angled upward from \( v_1 \) at 15 degrees.

**Diagram Explanation:**

- **Vectors and Angles:**
- \( v_1 \): This green vector represents the initial velocity of the disc moving horizontally from the person's hand.
- \( v_2 \): This green vector shows a second velocity in the trajectory of the disc, angled upwards by 15 degrees relative to the initial velocity vector \( v_1 \).

- **Trajectory Path:**
- The dashed orange lines illustrate the projected path or trajectory of the disc after it is thrown. The path includes an upward arc followed by a downward curve, simulating how the disc would travel through the air.

This diagram is useful for understanding basic projectile motion, where an object is launched into motion with both a horizontal and vertical component, influenced by gravity, ultimately following a parabolic trajectory. The angle and magnitude of the initial velocities play a crucial role in determining the range and height of the projectile's path.

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