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Science Bowl Question

📅 2023 MIT Science Bowl High School Invitational🎓 HS🔄 Round 11#️⃣ Question 16🌟 BONUS📝 Multiple Choice

Sophia places a cylindrical shell with radius 0.5 meters on a moving treadmill, which is inclined at an angle of 30 degrees. She then steadily increases the speed of the treadmill, in a way such that the cylindrical shell stays in place. Assuming the shell rolls without slipping, in terms of the gravitational acceleration g, at what rate must Sophia increase the treadmill's speed?

W) g
X) 2g
Y) g/2
Z) g/4
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