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(3 pt) A person on a bicycle coasts without pedaling for 4.0 s before beginning to...

  1. (3 pt) A person on a bicycle coasts without pedaling for 4.0 s before beginning to pedal again. The person has an initial velocity of 6.7 m/s to the east when they start coasting. The bicycle feels a resisting force of 18 N to the west during this coasting motion. The combined mass of the person and the bicycle is 73 kg.
    1. What is the impulse of the resisting force?
    2. What is the change in the combined momentum of the person and the bicycle as they coast?
    3. What is the person’s velocity when they stop coasting and begin pedaling again?
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Answer #1

a. impulse = F.t = 18x4 = 72 kg.m/s .  

b. change in momentum P = - 72 kg.m/s

c. vf = ( mvi - P )/m
vf = ( 73x6.7 - 72 )/73
vf = 5.7 m/s .   

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