A pickup truck is carrying a 10.0 kgkg toolbox, but the tailgate of the truck is missing, so the box can slide out if it starts moving.  The coefficients of static and kinetic friction between the toolbox and the truck bed are 0.34 and 0.15, respectively.  Assume that the truck bed is horizontal. What is the shortest time the truck could take to accelerate from rest to 9.60 m/sm/s without causing the toolbox to slide?

Glencoe Physics: Principles and Problems, Student Edition
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ISBN:9780078807213
Author:Paul W. Zitzewitz
Publisher:Paul W. Zitzewitz
Chapter5: Displacement And Force In Two Dimensions
Section: Chapter Questions
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A pickup truck is carrying a 10.0 kgkg toolbox, but the tailgate of the truck is missing, so the box can slide out if it starts moving.  The coefficients of static and kinetic friction between the toolbox and the truck bed are 0.34 and 0.15, respectively.  Assume that the truck bed is horizontal.

What is the shortest time the truck could take to accelerate from rest to 9.60 m/sm/s without causing the toolbox to slide?

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