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Chapter 5: Problem 30

Movers slide a 73 -kg file cabinet along a floor where the coefficient of kinetic friction is \(0.81 .\) What's the frictional force on the cabinet?

Short Answer

Expert verified
The frictional force on the cabinet is 579.87 N.

Step by step solution

01

Calculate the weight of the cabinet

In physics, the weight of an object is the force of gravity on it. It can be calculated by multiplying its mass by the acceleration due to gravity. Here the mass \(m\) of the cabinet is 73 kg, and the acceleration due to gravity \(g\) is about 9.8 m/s虏. Therefore, the weight \(W\) of the object is calculated as \(W = m * g = 73 \, kg * 9.8 \, m/s虏 = 715.4 \, N .\)
02

Calculating the frictional force

The frictional force is the force that opposes the motion of an object. It can be calculated by multiplying the coefficient of kinetic friction by the weight of the object. Here, the coefficient of kinetic friction \( \mu \) is 0.81, thus the frictional force \( F \) can be calculated as \( F = \mu * W = 0.81 * 715.4 \, N = 579.87 \, N .\)

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