Jessica is riding on a merry-go-round on an outer horse that sits at a distance

of 8.0 m from the center of the ride. Jessica\'s sister, Julie, is on an inner horse

located 6.0 m from the ride\'s center. The merry-go-round turns around once

every 40.0 s. a) Explain which girl is moving with the greater linear speed.

b) What is the centripetal acceleration of Julie and her horse?

of 8.0 m from the center of the ride. Jessica\'s sister, Julie, is on an inner horse

located 6.0 m from the ride\'s center. The merry-go-round turns around once

every 40.0 s. a) Explain which girl is moving with the greater linear speed.

b) What is the centripetal acceleration of Julie and her horse?

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a. Jessica's has a

greater linear speed.b. The

centripetal accelerationof Julie and her horse is0.148 m/s².## a) Explain which girl is moving with the greater linear speed.

Jessica's has a

greater linear speed.To answer the question, we need to know what

Linear speedis.## What is linear speed?

This is the

tangential speedat which an object in circular motion moves. It is given byv = rωwhereNow, given that Jessica is riding on a merry-go-round on an outer horse that sits at a distance of 8.0 m from the center of the ride and Jessica's sister, Julie, is on an inner horse located 6.0 m from the ride's center. Also, the merry-go-round is moving at constant angular speed.

Since

Linear speed v = rωand ω = constant,So,

v ∝ r.So, the girl with the

greater distancefrom the center of the merry-go-round would have thegreater linear speed.Since

Since

So, Jessica's has a

greater linear speed.## b) What is the centripetal acceleration of Julie and her horse?

The

centripetal accelerationof Julie and her horse is0.148 m/s².Centripetal acceleration a = rω²whereSince the merry-go-round turns once every 40.0 s, we have that

ω = 2π/40.0 s= π/20.0 s

= 0.157 rad/sSince

a = rω²Substituting the values of the variables into the equation, we have

a = rω²a = 6.0 m × (0.157 rad/s)²

a = 6.0 m × 0.0247 rad²/s²

a = 0.148 m/s²So, the

centripetal accelerationof Julie and her horse is0.148 m/s².Learn more about

linear speedhere:https://brainacademy.pro/question/25653453