In a Playground There Is a Small Merry-Go-Round of Radius

question 44

Multiple Choice

In a playground there is a small merry-go-round of radius 1.25 m and mass 175 kg.Assume the merry-go-round to be a uniform disc.A child of mass 45 kg runs at a speed of 3.0 m/s tangent to the rim of the merry-go-round (initially at rest) and jumps on.If we neglect friction,what is the angular speed of the merry-go-round after the child has jumped on and is standing at its outer rim?

• A)0.82 rad/s
• B)2.4 rad/s
• C)0.49 rad/s
• D)1.2 rad/s
• E)0.41 rad/s

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Definitions:

Stereocenters

Chiral centers in a molecule, points at which the molecule can adopt different spatial arrangements leading to different stereoisomers.

Stereogenic Centers

Atoms within a molecule that are bonded to four different substituents, giving rise to stereoisomerism.

Diastereomers

Stereoisomers that are not mirror images of each other and possess different physical and chemical properties.

Diastereomers

Stereoisomers that are not mirror images of each other, differing in the arrangement of atoms around one or more stereogenic centers.