Understanding the Concepts
* Static Friction: This is the force that prevents an object from moving when a force is applied to it. It has a maximum value before the object starts to move.
* Coefficient of Static Friction (μs): This is a dimensionless number that represents the ratio of the maximum static friction force to the normal force.
* Normal Force (Fn): This is the force exerted by a surface perpendicular to the object in contact with it. On a level surface, the normal force is equal to the object's weight.
Calculations
1. Calculate the weight of the crate:
* Weight (W) = mass (m) * acceleration due to gravity (g)
* W = 40 kg * 9.8 m/s² = 392 N
2. Calculate the maximum static friction force:
* Maximum static friction (Fs) = μs * Fn
* Fs = 0.69 * 392 N = 270.88 N
Answer:
A horizontal force greater than 270.88 N is required to get the crate moving.