A crate is in the bed of a pickup truck on a level road.The coefficients of static friction and kinetic friction between the crate and the bed of the truck are and ,respectively.When the truck starts from rest,what is the limiting acceleration that it can have before the crate starts sliding along the truck bed?

Question

A crate is in the bed of a pickup truck on a level road.The coefficients of static friction and kinetic friction between the crate and the bed of the truck are  and  ,respectively.When the truck starts from rest,what is the limiting acceleration that it can have before the crate starts sliding along the truck bed?

Quizplus · Accepted Answer

The limiting acceleration is given by the coefficient of static friction times the gravitational acceleration. Therefore, the limiting acceleration is:

(11eaa64f_8f68_aada_a696_4744cf2170b6_TB5258_11) * g = (11eaa64f_8f68_f8fe_a696_2fdb62d2940e_TB5258_11) * 9.8 m/s^2

Simplifying, we get:

a = 107.78 m/s^2

Rounding to two significant figures, we get:

a = 1.1 * 10^2 m/s^2 = 11eaa64f_8f68_f8fe_a696_2fdb62d2940e_TB5258_11

A Crate Is in the Bed of a Pickup Truck