A 42.0-kg child takes a ride on a Ferris wheel that rotates four times each minute and has a diameter of 20.0 m.(a) What is the centripetal acceleration of the child?- **Magnitude:** [Input box] m/s²- **Direction:** [Dropdown menu](b) What force (magnitude and direction) does the seat exert on the child at the lowest point of the ride?- **Magnitude:** [Input box] N- **Direction:** [Dropdown menu](c) What force does the seat exert on the child at the highest point of the ride?- **Magnitude:** [Input box] N- **Direction:** [Dropdown menu](d) What force does the seat exert on the child when the child is halfway between the top and bottom? (Assume the Ferris wheel is rotating clockwise and the child is moving upward.)- **Magnitude:** [Input box] N- **Direction:** [Input box] ° counter-clockwise from the horizontal

Name: A 42.0-kg child takes a ride on a Ferris wheel that rotates four time
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Description: A 42.0-kg child takes a ride on a Ferris wheel that rotates four times each minute and has a diameter of 20.0 m.(a) What is the centripetal acceleration of the child?- **Magnitude:** [Input box] m/s²- **Direction:** [Dropdown menu](b) What force (ma

"As per the guidelines i solved the first three subpart". (a) The radius of the wheel is, r=d2=20 m2=10 m The angular speed of the wheel's rotation is, ω=4 revmin2π rad1 rev1 min60 s=0.42 rad/s The linear speed of the object is, v=ωr=0.42 rad/s10 m=4.2 m/s Find the centripetal acceleration of the child. ac=v2r=4.2 m/s210 m=1.76 m/s2(b) The magnitude of the force does the seat exerts on the child at the lowest point of the ride is, Fseat-mg=mv2rFseat=mv2r+mg Substitute the values. Fseat=42.0 kg4.2 m/s210 m+42.0 kg9.8 m/s2=74.088 N+411.6 N=485.7 N=486 N The direction force does the seat exerts on the child is acting upward.(c) The magnitude of the force does the seat exerts on the child at the highest point of the ride is, mg-Fseat=mv2rFseat=mg-mv2r Substitute the values. Fseat=42.0 kg9.8 m/s2-(42.0 kg)(4.2 m/s)2(10 m)=411.6 N-74.088 N=337.5 N=338 N

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A 42.0-kg child takes a ride on a Ferris wheel that rotates four times each minute and has a diameter of 20.0 m. (a) What is the centripetal acceleration of the child? magnitude m/s? direction ---Select--- (b) What force (magnitude and direction) does the seat exert on the child at the lowest point of the ride? magnitude direction ---Select--- (c) What force does the seat exert on the child at the highest point of the ride? magnitude direction --Select---

A 42.0-kg child takes a ride on a Ferris wheel that rotates four times each minute and has a diameter of 20.0 m. (a) What is the centripetal acceleration of the child? magnitude m/s? direction ---Select--- (b) What force (magnitude and direction) does the seat exert on the child at the lowest point of the ride? magnitude direction ---Select--- (c) What force does the seat exert on the child at the highest point of the ride? magnitude direction --Select---

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ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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Newton's Second Law

Newton’s laws of motion describe the relationship between the motion of an object and forces acting on it. Newton’s law of motion has two types as follows:

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Question

A 42.0-kg child takes a ride on a Ferris wheel that rotates four times each minute and has a diameter of 20.0 m.

(a) What is the centripetal acceleration of the child?
- **Magnitude:** [Input box] m/s²
- **Direction:** [Dropdown menu]

(b) What force (magnitude and direction) does the seat exert on the child at the lowest point of the ride?
- **Magnitude:** [Input box] N
- **Direction:** [Dropdown menu]

(c) What force does the seat exert on the child at the highest point of the ride?
- **Magnitude:** [Input box] N
- **Direction:** [Dropdown menu]

(d) What force does the seat exert on the child when the child is halfway between the top and bottom? (Assume the Ferris wheel is rotating clockwise and the child is moving upward.)
- **Magnitude:** [Input box] N
- **Direction:** [Input box] ° counter-clockwise from the horizontal

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