A pickup truck is carrying a toolbox, but the rear gate of the truck is missing. The toolbox will slide out if it is set moving. The coefficient of static and kinetic friction between the box and the level bed of the truck are 0.300 and 0.200, respectively. What is the greatest acceleration that the truck can have before the toolbox slides out?

Respuesta :

Answer:[tex]2.94 m/s^2[/tex]

Explanation:

Given

Coefficient of static friction [tex]\mu _s=0.3[/tex]

Coefficient of Kinetic friction [tex]\mu_k=0.2[/tex]

as  the tool box laid over the truck so there must a thresold force must be applied such that it overcomes the static friction in order to start moving

[tex]a_{max}=\mu _s\times g[/tex]

[tex]a_{max}=0.3\times 9.8=2.94 m/s^2[/tex]