A uniform-density object rolls upward on a curved track with initial speed v and rises to maximum vertical height 3v²/(4g). Identify the object.
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A uniform-density object rolls upward on a curved track with initial speed v and rises to maximum vertical height 3v²/(4g). Identify the object.

G1 Physics · Accepted Answer

Step 1: Energy conservation gives ½mv²(1+I/(mR²))=mgh. Step 2: With h=3v²/(4g), 1+I/(mR²)=3/2; hence I/(mR²)=1/2, characteristic of a solid disc. Final answer: B — disc.