When you apply a horizontal force of 51 N to a block, the block moves across the floor at a constant speed. (a) When you apply a force of 40 N to the block initially at rest, what is the magnitude of the horizontal component of the force that the floor exerts on the block? (b) When you apply a force of 59 N, what is the magnitude of the horizontal component of the force that the floor exerts on the block?

Respuesta :

(a) When you apply a force of 40 N, the magnitude of the horizontal component of the force that the floor exerts on the block is 51 N.

(b) When you apply a force of 59 N, the magnitude of the horizontal component of the force that the floor exerts on the block is 51 N.

Net force on the block

The horizontal component of the force that the floor exerts on the block is determined by applying Newton's second law of motion;

[tex]F = ma[/tex]

When the block moves at a constant speed

[tex]\Sigma F = 0\\\\F - F_f = 0\\\\F = F_f[/tex]

[tex]F_f = F\\\\F_f = 51 \ N[/tex]

where;

  • [tex]F_f[/tex] is the frictional force exerted on the block by the floor

Since the surface (floor) is constant, the frictional force (horizontal component of the force that the floor exerts on the block ) will be the same on the cases.

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Based on the definition of limiting frictional force;

  • the magnitude of the horizontal component of the force that the floor exerts on the block is equal to 40 N when a force of 40 N is applied to the block,
  • the magnitude of the horizontal component of the force that the floor exerts on the block is equal to 51 N, the limiting frictional force, when a force of 59 N is applied to the block.

What is force?

Force is any push or pull effect which tends to cause a change in the motion or shape of an object.

Based on Newton's third law, every force produces an equal and opposite reaction.

Therefore, the force that the floor exerts on the block is oppositely direction to the force exerted by the horizontal force acting on the block.

Since a horizontal force of 51 N applied to the block is required to keep the block moving across the floor at a constant speed, this is the limiting frictional force.

a) when a force of 40 N is applied to the block, the magnitude of the horizontal component of the force that the floor exerts on the block is equal to 40 N

b) when a force of 59 N is applied to the block, the magnitude of the horizontal component of the force that the floor exerts on the block is equal to 51 N, the limiting frictional force.

Learn more about limiting frictional force at: https://brainly.com/question/23092926