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A yo-yo has a rotational inertia of 970 g·cm2 and a mass of 104 g. Its axle radius is 3.15 mm, and its string is 134 cm long. The yo-yo rolls from rest down to the end of the string.
(a) What is the magnitude of its linear acceleration?
(b) How long does it take to reach the end of the string? As it reaches the end of the string, what are its
(c) linear speed,
(d) translational kinetic energy,
(e) rotational kinetic energy, and
(f) angular speed?
The radius of a proton is 0.9e-15 m; suppose that if the particles touch, the distance between their centers will be twice that. What will be the total kinetic energy of both particles an instant before they touch.
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