A soccer player kicks a soccer ball of mass 0.45 kg that is initially at rest. The player's foot is in contact with the ball for 1.10 x 10-³ s, and the force of the kick is given by F(t) = [(8.20 x 105)t - (7.45 x 108)t2] N for 0 ≤ t ≤ 1.10 x 10-3 s, where t is in seconds. Find the magnitudes of the following: (a) the impulse on the ball due to the kick, (b) the average force on the ball from the player's foot during the period of contact, (c) the maximum force on the ball from the player's foot during the period of contact, and (d) the ball's speed immediately after it loses contact with the player's foot. (a) Number (b) Number (c) Number (d) Number Units Units Units Units
A soccer player kicks a soccer ball of mass 0.45 kg that is initially at rest. The player's foot is in contact with the ball for 1.10 x 10-³ s, and the force of the kick is given by F(t) = [(8.20 x 105)t - (7.45 x 108)t2] N for 0 ≤ t ≤ 1.10 x 10-3 s, where t is in seconds. Find the magnitudes of the following: (a) the impulse on the ball due to the kick, (b) the average force on the ball from the player's foot during the period of contact, (c) the maximum force on the ball from the player's foot during the period of contact, and (d) the ball's speed immediately after it loses contact with the player's foot. (a) Number (b) Number (c) Number (d) Number Units Units Units Units
Physics for Scientists and Engineers: Foundations and Connections
1st Edition
ISBN:9781133939146
Author:Katz, Debora M.
Publisher:Katz, Debora M.
Chapter5: Newton's Laws Of Motion
Section: Chapter Questions
Problem 23PQ: The x and y coordinates of a 4.00-kg particle moving in the xy plane under the influence of a net...
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![A soccer player kicks a soccer ball of mass 0.45 kg that is initially at rest. The player's foot is in contact with the ball for 1.10 x 10-³ s,
and the force of the kick is given by F(t) = [(8.20 x 105)t - (7.45 x 108)t²] N for 0 ≤ t ≤ 1.10 x 10-³ s, where t is in seconds. Find the
magnitudes of the following: (a) the impulse on the ball due to the kick, (b) the average force on the ball from the player's foot during
the period of contact, (c) the maximum force on the ball from the player's foot during the period of contact, and (d) the ball's speed
immediately after it loses contact with the player's foot.
(a) Number
(b) Number
(c) Number
(d) Number
Units
Units
Units
Units](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F643aff56-d3d2-46ec-80fe-61025699ffb7%2F66041f61-2e76-453c-8944-7cf13d470457%2Fg9k42y_processed.png&w=3840&q=75)
Transcribed Image Text:A soccer player kicks a soccer ball of mass 0.45 kg that is initially at rest. The player's foot is in contact with the ball for 1.10 x 10-³ s,
and the force of the kick is given by F(t) = [(8.20 x 105)t - (7.45 x 108)t²] N for 0 ≤ t ≤ 1.10 x 10-³ s, where t is in seconds. Find the
magnitudes of the following: (a) the impulse on the ball due to the kick, (b) the average force on the ball from the player's foot during
the period of contact, (c) the maximum force on the ball from the player's foot during the period of contact, and (d) the ball's speed
immediately after it loses contact with the player's foot.
(a) Number
(b) Number
(c) Number
(d) Number
Units
Units
Units
Units
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Step 1: Determine the given data in the step :
VIEWStep 2: Determine the impulse in the step :
VIEWStep 3: Determine the average force in the step :
VIEWStep 4: Determine the time for which maximum force acts on the ball in the step :
VIEWStep 5: Determine the maximum force through calculations in the step :
VIEWStep 6: Determine the final speed in the step :
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