Answered: A truck is chasing a bicycle along a…

University Physics Volume 1

18th Edition

ISBN:9781938168277

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

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

Chapter9: Linear Momentum And Collisions

Section: Chapter Questions

Problem 10CQ: Can objects in a system have momentum while the momentum of the system is zero? Explain your answer.

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Question

A truck is chasing a bicycle along a highway. Both have the same momentum. Will the truck catch up with the bicycle? Explain your reasoning.

Expert Solution

Step 1 Objective

To explain the example with the concept of momentum

Step 2 Explanation

$L e t t h e m a s s o f t r u c k b e M a n d v e l o c i t y b e V L e t t h e m a s s o f b i c y c l e b e m a n d v e l o c i t y b e m M o m e n t u m o f t r u c k = M \times V a n d M m e n t u m o f B i c y c l e = m \times v (m o m e n t u m = m a s s \times v e l o c i t y) S i n c e m o m e n t u m o f b o t h i s e q u a l S o M V = m v \frac{M}{m} = \frac{v}{V} (1) S i n c e t r u c k i s m u c h h e a v i e r t h a n b i c y c l e s o M > > m \frac{M}{m} > > 1 S o f r o m (1) w e h a v e \frac{v}{V} > > 1 i . e . v > > V S o v e l o c i t y o f b i c y c l e i s m o r e t h a n t r u c k$

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