An employee party for a very successful company features a merry-go-round with real animals. The…

An employee party for a very successful company features a merry-go-round with real animals. The horizontal turntable has no motor, but is turning freely on a vertical, frictionless axle through its center. Two ponies of equal mass are tethered at diametrically opposite points on the rim. Children untie them, and the placid beasts simultaneously start plodding toward each other across the turntable. (i) As they walk, what happens to the angular speed of the carousel? (a) It increases. (b) It stays constant. (c) It decreases. Consider the poniesturntable system in this process. (ii) Is its

An employee party for a very successful company features a merry-go-round with real animals. The horizontal turntable has no motor, but is turning freely on a vertical, frictionless axle through its center. Two ponies of equal mass are tethered at diametrically opposite points on the rim. Children untie them, and the placid beasts simultaneously start plodding toward each other across the turntable. (i) As they walk, what happens to the angular speed of the carousel? (a) It increases. (b) It stays constant. (c) It decreases. Consider the poniesturntable system in this process. (ii) Is its mechanical energy conserved? (iii) Is its momentum conserved? (iv) Is its angular momentum conserved?

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