Consider a horizontal pinball launcher as shown in the diagram below. The 80.6 g ball with a radius of 13.5 mm rests against the spring which is initially compressed 7.50 cm. Upon release, the ball rolls without slipping. The spring constant is 140 N/m. h a. Using conservation of energy, calculate the speed (linear and rotational) of the ball at point P on the flat surface using only variables (e.g., Mball, ball, k, etc.). Show all your work. b. Compute the numerical values of linear and rotational speeds. c. Again, using conservation of energy from point P, using only variables (e.g., mball, I'ball, k, h, etc.), determine the maximum height of the ball above the base of the incline. d. Compute the numerical value of how high the ball travels from point P.

Physics for Scientists and Engineers with Modern Physics
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Author:Raymond A. Serway, John W. Jewett
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Chapter8: Conservation Of Energy
Section: Chapter Questions
Problem 40AP: A pendulum, comprising a light string of length L and a small sphere, swings in the vertical plane....
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Consider a horizontal pinball launcher as shown in the diagram below. The 80.6 g ball with a
radius of 13.5 mm rests against the spring which is initially compressed 7.50 cm. Upon release,
the ball rolls without slipping. The spring constant is 140 N/m.
a. Using conservation of energy, calculate the speed (linear and rotational) of the ball at
point P on the flat surface using only variables (e.g., mball, r'ball, k, etc.). Show all your
work.
b. Compute the numerical values of linear and rotational speeds.
c. Again, using conservation of energy from point P, using only variables (e.g., mball, r'ball, k,
h, etc.), determine the maximum height of the ball above the base of the incline.
d. Compute the numerical value of how high the ball travels from point P.
Transcribed Image Text:Consider a horizontal pinball launcher as shown in the diagram below. The 80.6 g ball with a radius of 13.5 mm rests against the spring which is initially compressed 7.50 cm. Upon release, the ball rolls without slipping. The spring constant is 140 N/m. a. Using conservation of energy, calculate the speed (linear and rotational) of the ball at point P on the flat surface using only variables (e.g., mball, r'ball, k, etc.). Show all your work. b. Compute the numerical values of linear and rotational speeds. c. Again, using conservation of energy from point P, using only variables (e.g., mball, r'ball, k, h, etc.), determine the maximum height of the ball above the base of the incline. d. Compute the numerical value of how high the ball travels from point P.
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