Calculating Kinetic Energy & Speed of a Thrown Yo-Yo: Physics Problem Help

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To solve the physics problem involving the yo-yo, first calculate the time it takes to reach the end of the string using the initial speed and the length of the string. Next, determine the total kinetic energy at the end of the string by considering both translational and rotational components. The translational speed can be found using the relationship between linear velocity and angular velocity, factoring in the radius of the axle. Additionally, calculate the rotational speed using the moment of inertia and the translational speed. Finally, compute the rotational kinetic energy based on the rotational speed. Understanding the distribution of energy between angular and linear forms is essential for accurate calculations.
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yo you physics problem, please help!

A yo-yo has a rotational inertia of 820 g·cm2 and a mass of 115 g. Its axle radius is 3.9 mm and its string is 120 cm long. The yo-yo is thrown so that its its initial speed down the string is 0.8 m/s.
(a) How long does the yo-yo take to reach the end of the string?
(b) As it reaches the end of the string, what is its total kinetic energy?
J
(c) As it reaches the end of the string, what is its translational speed?
m/s
(d) As it reaches the end of the string, what is its translational kinetic energy?
J
(e) As it reaches the end of the string, what is its rotational speed?
rad/s
(f) As it reaches the end of the string, what is its rotational kinetic energy?
J
Can someone please explain how to do this?
 
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Assume the string is infinitely thin, doesn't stretch, and no slippage. Compute the energy gain from decrease in height and figure out how this increase is distributed between angular and linear energy.
 

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