A smooth wooden 40.0 N block is placed on a smooth wooden table a force of 14.0N is required to keep the block moving at a constant velocity what is the coefficient of sliding friction between the block and the table top

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Answer:

0.35 is the friction coefficient.

Explanation:

The equation for the friction coefficient is friction coefficient = force/normal force. The force required here is 14N, and the normal force is the weight, 40N.    14/40=0.35.

The coefficient of sliding friction between the block and the table top is 0.35

Given that a smooth wooden 40.0 N block is placed on a smooth wooden table a force of 14.0N is required to keep the block moving at a constant velocity.

The weight of the wooden block will produce a normal reaction N which is equal in magnitude to the weight. That is,

N = mg = 40N

The resultant force applied = ma = 14 N

Since the velocity is constant, acceleration a = 0

Resultant force = F - [tex]F_{r}[/tex]

where

F = force applied = 14 N

[tex]F_{r}[/tex] = Frictional force.

Substituting every parameters into the equation lead to

F - [tex]F_{r}[/tex] = ma

since a = 0, then,

F - [tex]F_{r}[/tex] = 0

F = [tex]F_{r}[/tex]

To calculate the coefficient of sliding friction between the block and the table top, we will make use of the formula

F = μN

Where μ = coefficient of friction.

substitute all necessary parameters into the formula

14 = 40μ

μ = 14/40

μ = 0.35

Therefore, the coefficient of sliding friction between the block and the table top is 0.35

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