Question

A 10 kg block sits on a level surface, and a horizontal force of 50 N is applied to the block. If the coefficient of static friction between the block and the surface is 0.75, does the block move? If not, how great a force would be required to move the block?

Answer 1

The block will not move.

The amount of force that would be required to move the block is 73.5 N

What is force?

Force can be defined as the product of mass and acceleration.

The S.I unit of force is Newton (N)

For the block to move, The horizontal force applied to the block but be greater than the static friction of the floor on the block.

• F > F'

• F = Force applied to the block = 50 N.

• F' = mgμ................. Equation 1

Where:

• F = Frictional force,
• m = mass of the block
• g = acceleration due to gravity of the block
• μ = coefficient of static friction of the block.

From the question,

Given:

• m = 10 kg
• g = 9.8 m/s²
• μ = 0.75
  

Substitute these values into equation 1

• F' = (10×9.8×0.75) = 73.5 N.

Comparing F and F', It can be seen that

• F < F'

There, The block will not move.

The amount of force that would be required to move the block is 73.5 N

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