× Facebook 744254 Chapter Ten Problem 10.87 13 of 13 I re hyProblem 10.67 Part A

Question

× Facebook 744254 Chapter Ten Problem 10.87 13 of 13 I re hyProblem 10.67 Part A Through what height must the yo-yo fal for its linear speed to be 0.70 m/s Express your answer using two significant figures. Yo-Yo man releases a yo-yo from rest and allows it ome to drop, as he keeps the top end of the string staterary The massofthe yo-yo 0056 kg, its monertofrertia is 29 ×10 skg.m2 and the radus, r, of the axle the string wraps around is 0 0064 m. · h- 68 Tools ncorrect: Try Again;5 attempts remaining eftings Provide Feedback 0 Type here to search DOLL Fs F6 F7 F8 F9 F10 F11 F12

Explanation / Answer

conservation of energy

PE of fall = KE linear + KE rotational

m g h = 1/2 m v^2 + ½ I ^2

= v/r

m g h = 1/2 m v^2 + 1/2 I v^2 / r^2

0.056*9.81 h = 1/2 (0.056)(0.70^2) + 1/2 (2.9E-5) (0.70^2)/0.0064^2

0.54936h = 0.18718

h = 0.34m

Hope this helps :)

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