A man is trying to push a 250 N dresser across his carpeted bedroom. He applies a force of 20 N and the carpet provides a frictional force of 8N. Which vectors represented in the diagram below will you need to consider and what will be the resulting net force?

A man is trying to push a 250 N dresser across his carpeted bedroom He applies a force of 20 N and the carpet provides a frictional force of 8N Which vectors re class=

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Answer:

The correct option is;

B. Subtract vectors A from C; [tex]F_{Net}[/tex] = 12 N

Explanation:

The given parameters are;

The weight of the dresser = 250 N

The force applied by the man = 20 N = C

The frictional force provided by the carpet = 8 N = The component of the weight resisting motion = A

Therefore, the net force tending to put the dresser in motion, [tex]F_{Net}[/tex], is given as follows;

[tex]F_{Net}[/tex] = The force applied by the man, C - The frictional force provided by the carpet which is the component of the weight resisting motion, A

[tex]F_{Net}[/tex] = C - A = 20 N - 8 N = 12 N

[tex]F_{Net}[/tex] = 12 N

The resulting net force, [tex]F_{Net}[/tex] = 12 N.

The resultant force can be obtained by subtracting vector C from Vector A and the value of net force is 12 N. Hence, option (C) is correct.

Given data:

The weight of man is, W = 250 N.

The magnitude of applied force is, F = 20 N.

The magnitude of frictional force is, f = 8 N.

As per the given problem and the diagram let the applied force be denoted by vector A, Then,

Magnitude of Vector A = 20 N

And the frictional force be denoted by vector C. Then,

Magnitude of Vector C = 8 N

We know that the role of frictional force is to oppose the motion or to oppose the effect of applied force. Then the resultant force is given as,

[tex]F_{net} = F-f\\\\F_{net} = 20 - 8\\\\F_{net} = 12 \;\rm N[/tex]

Thus, we can conclude that the resultant force can be obtained by subtracting vector C from Vector A and the value of net force is 12 N. Hence, option (C) is correct.

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