(a) A 15.0 kg child is riding a playground merry-go-round that is rotating at 35.0 rev/min. What centripetal force (in N) must she exert to stay on if she is 3.00 m from its center? (Enter a number.) (b) What centripetal force (in N) does she need to stay on an amusement park merry-go-round that rotates at 3.00 rev/min if she is 6.00 m from its center? (Enter a number.) (c) Compare each force with her weight. (For each answer, enter a number.) (force from (a))/(weight) = | (force from (b))/(weight)
(a) A 15.0 kg child is riding a playground merry-go-round that is rotating at 35.0 rev/min. What centripetal force (in N) must she exert to stay on if she is 3.00 m from its center? (Enter a number.) (b) What centripetal force (in N) does she need to stay on an amusement park merry-go-round that rotates at 3.00 rev/min if she is 6.00 m from its center? (Enter a number.) (c) Compare each force with her weight. (For each answer, enter a number.) (force from (a))/(weight) = | (force from (b))/(weight)
College Physics
11th Edition
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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![**Problem Statement: Centripetal Force on a Merry-Go-Round**
**(a)** A 15.0 kg child is riding a playground merry-go-round that is rotating at 35.0 revolutions per minute (rev/min). What centripetal force (in Newtons) must she exert to stay on if she is 3.00 meters from its center? (Enter a number.)
- Answer: ______ N
**(b)** What centripetal force (in Newtons) does she need to stay on an amusement park merry-go-round that rotates at 3.00 revolutions per minute (rev/min) if she is 6.00 meters from its center? (Enter a number.)
- Answer: ______ N
**(c)** Compare each force with her weight. (For each answer, enter a number.)
- (force from (a))/(weight) = ______
- (force from (b))/(weight) = ______
---
**Note:** This problem set involves calculating the centripetal force needed to maintain circular motion at given distances and speeds. It also asks for a comparison of these forces with the child's weight.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F00a48d79-f805-418c-a679-1c91878d1d75%2F9d4f1df7-8f13-4c76-b938-db91407e57a8%2F0vx2o1c_processed.png&w=3840&q=75)
Transcribed Image Text:**Problem Statement: Centripetal Force on a Merry-Go-Round**
**(a)** A 15.0 kg child is riding a playground merry-go-round that is rotating at 35.0 revolutions per minute (rev/min). What centripetal force (in Newtons) must she exert to stay on if she is 3.00 meters from its center? (Enter a number.)
- Answer: ______ N
**(b)** What centripetal force (in Newtons) does she need to stay on an amusement park merry-go-round that rotates at 3.00 revolutions per minute (rev/min) if she is 6.00 meters from its center? (Enter a number.)
- Answer: ______ N
**(c)** Compare each force with her weight. (For each answer, enter a number.)
- (force from (a))/(weight) = ______
- (force from (b))/(weight) = ______
---
**Note:** This problem set involves calculating the centripetal force needed to maintain circular motion at given distances and speeds. It also asks for a comparison of these forces with the child's weight.
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