Answered: a) A person is riding on a Ferris wheel…

University Physics Volume 1

18th Edition

ISBN:9781938168277

Author:William Moebs, Samuel J. Ling, Jeff Sanny

Publisher:William Moebs, Samuel J. Ling, Jeff Sanny

Chapter8: Potential Energy And Conservation Of Energy

Section: Chapter Questions

Problem 83AP: In an amusement park, a car rolls in a track as shown below. Find the speed of the car at A, B, and...

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Question

a) A person is riding on a Ferris wheel of radius R. He starts at the lowest

point of the wheel. When the wheel makes one complete revolution, is the

net work done by the gravitational force positive, zero or negative? Do you

need to know how the speed of the person changed before you can answer

the question?

b) Suppose the person started at the highest point of the wheel. What is the

net work done by the gravitational force when he reaches the lowest

point?

Expert Solution

Step 1

$W = F \times d \times \cos θ W h e r e, W = w o r k d o n e b y t h e f o r c e F = f o r c e a p p l i e d d = d i s p l a c e m e n t c a u s e d b y t h e f o r c e θ = a n g l e b e t w e e n t h e f o r c e v e c t o r a n d t h e d i s p l a c e m e n t v e c t o r . S i n c e t h e w h e e l m a d e o n e c o m p l e t e r e v o l u t i o n, n e t d i s p l a c e m e n t = 0 W = F \times 0 \times \cos θ W = 0 S o, t h e n e t w o r k d o n e b y t h e g r a v i t a t i o n a l f o r c e = Z e r o N o, t h e s p e e d o f t h e p e r s o n i s n o t n e e d e d t o c a l c u l a t e t h e w o r k d o n e . W e n e e d t o k n o w n e t F o r c e, n e t d i s p l a c e m e n t a n d a n g l e b e t w e e n t h e t w o .$

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