Two Blocks on Ice Two stacked boxes are sliding along an ice rink with an initial velocity vo to the right. You are trying to stop the boxes so you exert a force on the top box as indicated in the figure Y1 1 2 The magnitude of the force that you exert is variable, and follows the equation: FY1 with Fo and b constants, and t the time since you began exerting the force. Because the boxes are sliding on ice, the friction between box 2 and the ground is negligible. There is friction between the two boxes, and they are observed to accelerate together as you exert the force to slow them down. Note: This problem will be much easier if you solve everything symbolically before you substitute in the values for the parameters. Use the following values for the parameters: 8.8 kg m2 = 4.4 kg = 24.6° Fo = 121 N b = 0.10 s-1 ti = 3.162 s 11.0 m/s тi 3

University Physics Volume 1
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Chapter5: Newton's Law Of Motion
Section: Chapter Questions
Problem 23P: While sliding a couch across a floor, Andrea and Jennifer exert forces FA and FJ on the couch....
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Find the magnitude of the friction force from 1 on 2 at

t1. You may use μs=0.17, μk=0.14

 

Determine the total time, tf, that it takes you to stop the blocks. 

Two Blocks on Ice
Two stacked boxes are sliding along an ice rink with an initial velocity vo
to the right. You are trying to stop the boxes so you exert a force
on the top box as indicated in the figure
Y1
1
2
The magnitude of the force that you exert is variable, and follows the equation:
FY1
with Fo and b constants, and t the time since you began exerting the force.
Because the boxes are sliding on ice, the friction between box 2 and the ground is negligible. There is friction between the two boxes, and they are observed to accelerate together as
you exert the force to slow them down.
Note: This problem will be much easier if you solve everything symbolically before you substitute in the values for the parameters.
Use the following values for the parameters:
8.8 kg
m2 = 4.4 kg
= 24.6°
Fo = 121 N
b = 0.10 s-1
ti = 3.162 s
11.0 m/s
тi 3
Transcribed Image Text:Two Blocks on Ice Two stacked boxes are sliding along an ice rink with an initial velocity vo to the right. You are trying to stop the boxes so you exert a force on the top box as indicated in the figure Y1 1 2 The magnitude of the force that you exert is variable, and follows the equation: FY1 with Fo and b constants, and t the time since you began exerting the force. Because the boxes are sliding on ice, the friction between box 2 and the ground is negligible. There is friction between the two boxes, and they are observed to accelerate together as you exert the force to slow them down. Note: This problem will be much easier if you solve everything symbolically before you substitute in the values for the parameters. Use the following values for the parameters: 8.8 kg m2 = 4.4 kg = 24.6° Fo = 121 N b = 0.10 s-1 ti = 3.162 s 11.0 m/s тi 3
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