In soccer, sometimes a goalkeeper cannot catch the ball so she simply knocks it away with her hand. In the photo above, Katarzyna Kiedrzynek punched a soccer ball with her fist. The ball came toward her (to the left and downward) with an initial speed of vj = 23 m/s, directed at an angle of theta = 0 = 25 degrees below horizontal (as shown in the middle diagram above). The ball went away from her fist (to the right and upward) with a speed of vf = 13 m/s, directed at an angle of phi = p = 63 degrees above horizontal (as shown in the diagram on the right above). The ball has a mass of 0.44 kg. The ball was in contact with Katarzyna's fist for a period of 0.14 seconds. During the short time that the ball was in contact with Katarzyna's hand, the only significant forces were the forces that the ball and her hand exerted on each other. Ignore other forces such as gravity and air resistance for this problem. Calculate the average force (in units of newtons) that Katarzyna exerted on the ball during those 0.14 seconds.

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Chapter1: Units, Trigonometry. And Vectors
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In soccer, sometimes a goalkeeper cannot catch the ball so she simply knocks it away with her hand. In the photo above, Katarzyna Kiedrzynek punched a
soccer ball with her fist.
The ball came toward her (to the left and downward) with an initial speed of v = 23 m/s, directed at an angle of theta = 0 = 25 degrees below horizontal (as
shown in the middle diagram above). The ball went away from her fist (to the right and upward) with a speed of vf = 13 m/s, directed at an angle of phi = p = 63
degrees above horizontal (as shown in the diagram on the right above).
The ball has a mass of 0.44 kg. The ball was in contact with Katarzyna's fist for a period of 0.14 seconds. During the short time that the ball was in contact with
Katarzyna's hand, the only significant forces were the forces that the ball and her hand exerted on each other. Ignore other forces such as gravity and air
resistance for this problem.
Calculate the average force (in units of newtons) that Katarzyna exerted on the ball during those 0.14 seconds.
Transcribed Image Text:Vi In soccer, sometimes a goalkeeper cannot catch the ball so she simply knocks it away with her hand. In the photo above, Katarzyna Kiedrzynek punched a soccer ball with her fist. The ball came toward her (to the left and downward) with an initial speed of v = 23 m/s, directed at an angle of theta = 0 = 25 degrees below horizontal (as shown in the middle diagram above). The ball went away from her fist (to the right and upward) with a speed of vf = 13 m/s, directed at an angle of phi = p = 63 degrees above horizontal (as shown in the diagram on the right above). The ball has a mass of 0.44 kg. The ball was in contact with Katarzyna's fist for a period of 0.14 seconds. During the short time that the ball was in contact with Katarzyna's hand, the only significant forces were the forces that the ball and her hand exerted on each other. Ignore other forces such as gravity and air resistance for this problem. Calculate the average force (in units of newtons) that Katarzyna exerted on the ball during those 0.14 seconds.
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