Finding normal force of moving crates

In summary, the normal force between the two crates is 11.7 kg. This is calculated by using the formula F = ma and considering the coefficients of kinetic friction between the crates and the floor.
  • #1
shahin93
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Homework Statement


Your moving company runs out of rope and hand trucks, so you are forced to push two crates along the floor as shown in the figure below. The crates are moving at constant velocity, their masses are m1 = 49 kg and m2 = 29 kg, and the coefficients of kinetic friction between both crates and the floor are 0.30. Find the normal force between the two crates.

Homework Equations


F = ma

The Attempt at a Solution



Ff = μkFN
 
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  • #2
Ff1 = μk1FN1Ff2 = μk2FN2Ff1 + Ff2 = FN1 + FN2 (μk1m1) + (μk2m2) = FN1 + FN2 (0.30)(49 kg) + (0.30)(29 kg) = FN1 + FN214.7 kg + 8.7 kg = FN1 + FN2 23.4 kg = FN1 + FN2FN1 = 11.7 kgFN2 = 11.7 kg
 

What is normal force?

Normal force is the force exerted by a surface on an object that is in contact with it. It is always perpendicular to the surface and acts to prevent the object from going through the surface.

Why is it important to find the normal force of moving crates?

Finding the normal force is important for understanding the forces acting on the crates and ensuring that they are being moved safely and efficiently. It also helps in determining the amount of force needed to move the crates and in calculating the work done.

How do you calculate the normal force?

The normal force can be calculated by multiplying the mass of the object by the acceleration due to gravity (9.8 m/s^2) and the cosine of the angle between the object and the surface it is resting on. The equation is:
FN = mg cosθ
where FN is the normal force, m is the mass of the object, g is the acceleration due to gravity, and θ is the angle between the object and the surface.

What factors can affect the normal force of moving crates?

The normal force can be affected by the weight and mass of the crates, the angle of the surface they are resting on, and the presence of any other external forces acting on the crates. Friction between the crates and the surface can also impact the normal force.

Can the normal force ever be greater than the weight of an object?

Yes, the normal force can be greater than the weight of an object if the surface is inclined or if there are other external forces acting on the object. In this case, the normal force is used to balance out the other forces and prevent the object from moving or accelerating.

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