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