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

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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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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