Question

Alex and Riley are two kids standing on a merry-go-round. Alex has half the mass of Riley and is standing at the very edge of the merry-go-round. Riley is standing halfway between the edge and the center of the merry-go-round. The merry-go-round is turning at a constant rate. Which of the following are true? (Select all that apply.)

  

Alex has the larger moment of inertia on the merry-go-round.

Riley has the greater angular velocity.

Alex has the larger tangential velocity.

Both kids have the same angular velocity.

Both kids experience the same amount of centripetal force while on the merry-go-round.

Both kids have the same tangential velocity.

Riley has the greater centripetal acceleration.

Answer 1

Folowing are the true statements.

1) Alexe has the larger moment of inertia on the marry-go-round.

2) Riley has the greater angular velocity.

3) Alex has the large tengential velocity.

7) Riley has the greater centripetal acceleration.

If you eant to know how this results came you can refer following images.

2 sol. Given mA = MA & da = 8 da = 1/2 1. Alex has the leerger moment of inertia on -round. 1мд 72 & Ip = ma da the merry-go- - IA =mada 2 2 IMA82 4 . IA IR Hence, statement is true. & Riley has greater cingular velocity. angular momentom, L= I L = IA WA = IP WR WR = IA WA IR Now, I AJIR Hence WR > WA. i Stetement is true. 3. Alex has the large tuing entieel velocity. V=rw =) VA = &WA VR = & WR = ₂ I. WAT ..VA VR statement true. 4. Both kids have the same angular relocity, - False (: WR > WA) 5. Both kids experience the same amount of centripetal force while on the marr- go-round. is

myz Υ Now, Fe = Fen = my voete me va a 4 max.wat FoR = MAVR 2 yule vale maale)?com FA FOR : Statemente is false. 6. Both kies herve same feingenticel velocity. VA SVR . Hence, statement is false. 7. Riley hees the greater centripeteel acceleration Now, a = V² VA² elcp= 2 v 4 Elex = 1 / 1 Atea )W = 20(h)?. Wal in ace=8rwa 1.82 5. acA= & alert / 2 and CA CCR Elca Statement true.