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(Solved): I need help with the remaining 3 sections! Two stacked boxes are sliding along an ice rink with an ...



I need help with the remaining 3 sections! Two stacked boxes are sliding along an ice rink with an initial velocity

vec(v)_(0)

to the right. You are trying to stop the boxes so you exert a force

vec(F)_(Y1)

on the top box as indicated in the figure. The magnitude of the force that you exert is variable, and follows the equation:

F_(Y1)=F_(0)e^(-bt)

with

F_(0)

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 numerical values for the parameters. Use the following values for the parameters:

m_(1)=6.7kg m_(2)=3.8kg \phi =27.5\deg F_(0)=105N b=0.14s^(-1) t_(1)=1.8s v_(0)=7.9(m)/(s)

Acceleration Speed of Boxes Determine the common speed of the two boxes at

t_(1)

.

v_(1)=

Hint: Friction force of box 1 on box 2 Stopping Time



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