A pickup truck is carrying a 10.0 kg toolbox, but the tailgate of the truck is missing, so the box can slide out if it starts mo
ving. The coefficients of static and kinetic friction between the toolbox and the truck bed are 0.31 and 0.18, respectively. Assume that the truck bed is horizontal. What is the shortest time the truck could take to accelerate from rest to 13.2 m/s without causing the toolbox to slide
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The equation of GPE is mgH, where m is mass, g is gravitational acceleration, and H is the height.
If we're solving for the change in GPE, then:
∆ = mg∆H
<u>Input our given values for m and g:</u>
∆ = 0.25 * 9.80 * ∆H
<u>The book falls from 2 meters high to 0.5 meters high, so:</u>
∆ = 0.25 * 9.80 * (2.0 - 0.5)
∆ = 0.25 * 9.80 * 1.5
∆ = 3.675 (J)
<u>Adjust for significant figures:</u>
∆ = 3.7 (J)
The change in gravitational potential energy was 3.7 (J)
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