You are coasting on your 14-kg bicycle at 18 m/s and a 4.5-g bug splatters on your helmet. The bug was initially moving at 1.5 m/s in the same direction as you. If your mass is 70 kg, answer the following questions:What is the initial momentum of you plus your bicycle?pi=pi= Correct kg m/sWhat is the initial momentum of the bug?pi=pi= Correct kg m/sWhat is your change in velocity due to the collision the bug? Mind the sign of your answer; to enter your answer in scientific notation, use the "E notation" (to enter 3.14×10−53.14×10-5, enter "3.14E-5").Δv=Δv= Incorrect m/sWhat would the change in velocity have been if the bug were traveling in the opposite direction? Mind the sign of your answer; to enter your answer in scientific notation, use the "E notation" (to enter 3.14×10−53.14×10-5, enter "3.14E-5").Δv=Δv= Incorrect m/s You are coasting on your 14-kg bicycle at 18 m/s and a 4.5-g bug splatters on your helmet. The bug wasinitially moving at 1.5 m/s in the same direction as you. If your mass is 70 kg, answer the followingquestions:a. What is the initial momentum of you plus your bicycle?o kg m/sPi1512b. What is the initial momentum of the bug?Pi = | 0.00675o kg m/sc. What is your change in velocity due to the collision the bug? Mind the sign of your answer; to enteryour answer in scientific notation, use the "E notation" (to enter 3.14 × 10-³, enter "3.14E-5").Δυ-16.49X m/sd. What would the change in velocity have been if the bug were traveling in the opposite direction?Mind the sign of your answer; to enter your answer in scientific notation, use the "E notation" (toenter 3.14 x 10-³, enter "3.14E-5").Av =19.49X m/s

Given:- The mass of the bicycle mby = 14 kg with the speed of v1 = 18 m/s the mass of the man mm = 70 kg The mass of the bug is mb = 4.5 g with the speed of v2 = 1.5 m/s Find:- a) What is the initial momentum of you plus your bicycle? b) What is the initial momentum of the bug? c) What is your change in velocity due to the collision of the bug? d) What would the change in velocity have been if the bug were traveling in the opposite direction?Solution:- a) We know that the initial moment of the bicycle is given as P1 = m1v1 here m1 = mm+mb m1 = 70+14 = 84 kg So P1 = 84×18 P1 = 1512 kgm/sThe initial moment of the bicyle is 1512 kgm/sb) Now The moment of the bug is given as P2 = mbv2 here v2 is the velocity of the bug = 1.5 m/s P2 = 4.5 ×10-3×1.5 P2 = 6.75×10-3 kgm/sThe initial moment of the bug is 6.75 x 10-3 kgm/sc) Now We know that in the collision the moment of the system is conserved. So Pi= Pf1512+6.75×10-3 = m1+mbvfvf= 1512.0067584+4.5×10-3vf = 17.99911612vf = 17.9991162 m/s So the final velocity of the bicycle after the collision is 17.9991162 m/s now The change in velocity ∆v = vi-vf ∆v = 18-17.9991162∆v = 8.838×10-4 m/s The change in the velocity is 8.838 x 10-4 m/sd) The change in velocity have been if the bug were traveling in the opposite direction as Pi= Pf1512-6.75×10-3 = m1+mbvfvf= 1511.9932584+4.5×10-3vf = 17.99895541vf = 17.99895541m/s ∆v = vi-vf ∆v = 18-17.99895541∆v = 1.04459×10-3 m/s So the change in the velocity of the bicycle after the collision is 1.04459x 10-3 m/s

Answered: asting on your 14-kg bicycle at 18 m/s…

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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You are coasting on your 14-kg bicycle at 18 m/s and a 4.5-g bug splatters on your helmet. The bug was initially moving at 1.5 m/s in the same direction as you. If your mass is 70 kg, answer the following questions:

What is the initial momentum of you plus your bicycle?
pi=pi= Correct kg m/s
What is the initial momentum of the bug?
pi=pi= Correct kg m/s
What is your change in velocity due to the collision the bug? Mind the sign of your answer; to enter your answer in scientific notation, use the "E notation" (to enter 3.14×10−53.14×10-5, enter "3.14E-5").
Δv=Δv= Incorrect m/s
What would the change in velocity have been if the bug were traveling in the opposite direction? Mind the sign of your answer; to enter your answer in scientific notation, use the "E notation" (to enter 3.14×10−53.14×10-5, enter "3.14E-5").
Δv=Δv= Incorrect m/s

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