A Hoop (I = MR²)of Mass 2

question 66

Multiple Choice

A hoop (I = MR²) of mass 2.0 kg and radius 0.50 m is rolling at a center-of-mass speed of 15 m/s.An external force does 750 J of work on the hoop.What is the new speed of the center of mass of the hoop?

• A)19 m/s
• B)22 m/s
• C)24 m/s
• D)27 m/s
• E)68 m/s

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Definitions:

Aldol Condensation

A chemical reaction that combines two aldehyde or ketone molecules to form a larger β-hydroxyketone, followed typically by dehydration to yield a conjugated enone.

Claisen Condensation

A carbon-carbon bond forming reaction between two esters or one ester and another carbonyl compound in the presence of a strong base.

Michael Addition

A nucleophilic addition of a carbanion to an α,β-unsaturated carbonyl compound resulting in a carbon-carbon bond formation.

Alkylation

A chemical reaction in which an alkyl group is introduced into an organic compound.