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 1.50 x 10-³ s, and the force of the kick is given by F(t) = [(9.55 × 105)t - (6.37 × 108)t²] N for 0≤t≤1.50 x 10-³ s where t is in -3 I 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.

University Physics Volume 1
18th Edition
ISBN:9781938168277
Author:William Moebs, Samuel J. Ling, Jeff Sanny
Publisher:William Moebs, Samuel J. Ling, Jeff Sanny
Chapter9: Linear Momentum And Collisions
Section: Chapter Questions
Problem 33P: A hockey puck of mass 150 g is sliding due east on a frictionless table with a speed of 10 m/s....
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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 1.50 × 10-3
s, and the force of the kick is given by F(t) = [(9.55 × 105)t - (6.37 x 108)t²1 N for 0 sts1.50 × 10-3s
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
Units
(b) Number
Units
(c) Number
Units
(d) Number
Units
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 1.50 × 10-3 s, and the force of the kick is given by F(t) = [(9.55 × 105)t - (6.37 x 108)t²1 N for 0 sts1.50 × 10-3s 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 Units (b) Number Units (c) Number Units (d) Number Units
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