A crate of mass m = 31 kg rides on the bed of a truck attached by a cord to the

Question

A crate of mass m = 31 kg rides on the bed of a truck attached by a cord to the back of the cab as in the figure below. The cord can withstand a maximum tension of 69 N before breaking. Neglecting friction between the crate and truck bed, find the maximum acceleration the truck can have before the cord breaks. (Enter the magnitude of the maximum acceleration in the forward direction.)
m/s2 A crate of mass m = 31 kg rides on the bed of a truck attached by a cord to the back of the cab as in the figure below. The cord can withstand a maximum tension of 69 N before breaking. Neglecting friction between the crate and truck bed, find the maximum acceleration the truck can have before the cord breaks. (Enter the magnitude of the maximum acceleration in the forward direction.)
m/s2 m = 31 kg

Explanation / Answer

Here ,

mass of create , m = 31 Kg

let the maximum acceleration is a

tension in rope , T =69 N

using seocnd law of motion

F = m * a

69 = 31 * a

a = 2.22 m/s^2

the maximum acceleration the truck can have before the cord breaks is 2.22 m/s^2

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