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A tennis racket hits a tennis ball with a force of F = at – bt“, where a = 1200 N/ms , b = 500 N/ms , and t is the time (in milliseconds). The ball is in contact with the racket for 3.05 ms . If the tennis ball has a mass of 62.6 g, what is the resulting velocity of the ball, v, after the ball is hit by the racket?

A tennis racket hits a tennis ball with a force of F = at – bt“, where a = 1200 N/ms , b = 500 N/ms , and t is the time (in milliseconds). The ball is in contact with the racket for 3.05 ms . If the tennis ball has a mass of 62.6 g, what is the resulting velocity of the ball, v, after the ball is hit by the racket?

Elements Of Electromagnetics
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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Learning Goal: To use the principle of linear impulse and momentum to relate a force on an object to the resulting velocity of the object at different times. The equation of motion for a particle of mass m can be written as EF dv = ma = m dt By rearranging the terms and integrating, this equation becomes the principle of linear impulse and momentum: t2 ES F dt = m f dv = mv2 – mv1 V1 For problem-solving purposes, this principle is often rewritten as mvị +£ F dt = mv2 The integral F dt is called the linear impulse, I, and the vector my is called the particle's linear momentum. A tennis racket hits a tennis ball with a force of F = at – bt?, where a = 1200 N/ms , b = 500 N/ms? , and t is the time (in milliseconds). The ball is in contact with the racket for 3.05 ms . If the tennis ball has a mass of 62.6 g, what is the resulting velocity of the ball, v, after the ball is hit by the racket? Express your answer numerically in meters per second to three significant figures. • View Available Hint(s) vec ? v = m/s
Transcribed Image Text:Learning Goal: To use the principle of linear impulse and momentum to relate a force on an object to the resulting velocity of the object at different times. The equation of motion for a particle of mass m can be written as EF dv = ma = m dt By rearranging the terms and integrating, this equation becomes the principle of linear impulse and momentum: t2 ES F dt = m f dv = mv2 – mv1 V1 For problem-solving purposes, this principle is often rewritten as mvị +£ F dt = mv2 The integral F dt is called the linear impulse, I, and the vector my is called the particle's linear momentum. A tennis racket hits a tennis ball with a force of F = at – bt?, where a = 1200 N/ms , b = 500 N/ms? , and t is the time (in milliseconds). The ball is in contact with the racket for 3.05 ms . If the tennis ball has a mass of 62.6 g, what is the resulting velocity of the ball, v, after the ball is hit by the racket? Express your answer numerically in meters per second to three significant figures. • View Available Hint(s) vec ? v = m/s
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