Two stacked boxes are sliding along an ice rink with an initial velocity of v 0

Question

Two stacked boxes are sliding along an ice rink with an initial velocity of v0 to the right. You are trying to stop the boxes so you exert a force Fy1 on the top box as indicated in the figure.

The magnitude of the force that you exert is variable, and follows the equation:

with F0 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:

Explanation / Answer

a = -sin F/m = sin Fo/(m1+m2) e^(-bt)

a = (-0.3518)*(112/(8+4.4)) * e^(-0.14*4.29)

a = -1.74 m/s2

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