A magician tosses a ball (m = 0.300 kg) with initial velocity v = 25.0 m/s at a 15.0° angle from the horizontal. To ensure that he can follow the ball’s movement, he moves his right hand vertically so that it is always at the same height as the ball. After 0.100 seconds, he casts a rubber-like elastic string from his right hand to instantly grab onto the ball. The string immediately sticks to the ball like gum, but does not impart any momentum onto it. The string then behaves like a spring that is initially unstretched, pulling the ball back with a force constant of k = 4.40 × 10−3 N/m. How far from the magician will the ball land?
A magician tosses a ball (m = 0.300 kg) with initial velocity v = 25.0 m/s at a 15.0° angle from the horizontal. To ensure that he can follow the ball’s movement, he moves his right hand vertically so that it is always at the same height as the ball. After 0.100 seconds, he casts a rubber-like elastic string from his right hand to instantly grab onto the ball. The string immediately sticks to the ball like gum, but does not impart any momentum onto it. The string then behaves like a spring that is initially unstretched, pulling the ball back with a force constant of k = 4.40 × 10−3 N/m. How far from the magician will the ball land?
Classical Dynamics of Particles and Systems
5th Edition
ISBN:9780534408961
Author:Stephen T. Thornton, Jerry B. Marion
Publisher:Stephen T. Thornton, Jerry B. Marion
Chapter9: Dynamics Of A System Of Particles
Section: Chapter Questions
Problem 9.60P
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A magician tosses a ball (m = 0.300 kg) with initial velocity v = 25.0 m/s at a
15.0° angle from the horizontal. To ensure that he can follow the ball’s movement, he moves his right hand
vertically so that it is always at the same height as the ball. After 0.100 seconds, he casts a rubber-like
elastic string from his right hand to instantly grab onto the ball. The string immediately sticks to the ball
like gum, but does not impart any momentum onto it. The string then behaves like a spring that is initially
unstretched, pulling the ball back with a force constant of k = 4.40 × 10−3 N/m. How far from the magician
will the ball land?
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