Sliding Object After a Push

In summary, the problem involves a 220-kg crate on a surface inclined at 18.3° and a horizontal force of 501 N. Using the equation Fnet = ma, we can determine the coefficient of static friction between the crate and the incline by breaking the applied force into components and using the force of gravity and normal force. The final result is a coefficient of static friction of 0.534.
  • #1
Hypnos_16
153
1
A 220-kg crate rests on a surface that is inclined above the horizontal at an angle of 18.3°. A horizontal force (magnitude = 501 N and parallel to the ground, not the incline) is required to start the crate moving down the incline. What is the coefficient of static friction between the crate and the incline?

The only real problem I'm having with this one is that i seem to have two variables
so far i have

Fnet = ma
mgsin18.3 + 501 x cos18.3 - Umgcos18.3 = ma
(220 x 9.8 x sin18.3) + (501 x cos18.3) - (U x 220 x 9.8 x cos18.3) = 220a
677 + 475.7 - U2046 = 220a
1142.7 - U2046 = 220a

though i don't even know if that's right, the cosine and sine sometimes mixes me up.
 
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  • #2
Since the applied force is horizantal, you can use the angle they give you to break it up into components. The force of the push going down the ramp plus the force of gravity down the ramp must equal the force of friction. Using that and the normal force, which you can find, you can find the coefficient of static friction.
 
  • #3
sooo
(220 x 9.8 x sin18.3) + (501 x cos18.3)
677 + 475.7 = 1152.7
Ff = UFn
1152.7 = (9.81 x 220)u
1152.7 = 2156u
u = 0.534
like that??
 

What is "Sliding Object After a Push"?

Sliding Object After a Push is a scientific concept that describes the motion of an object after it has been pushed. It is used to understand the behavior of objects in motion and to make predictions about their future movement.

What factors affect the sliding motion of an object after a push?

The sliding motion of an object after a push is affected by several factors, including the force of the push, the mass and shape of the object, the surface it is sliding on, and any external forces such as friction or air resistance.

How is the acceleration of the object related to the force of the push?

The acceleration of the object is directly proportional to the force of the push. This means that the stronger the force of the push, the greater the acceleration of the object will be. This relationship is described by Newton's Second Law of Motion, which states that force is equal to mass times acceleration.

What is the difference between kinetic and static friction?

Kinetic friction is the force that opposes the motion of an object as it slides across a surface, while static friction is the force that prevents an object from moving when it is at rest. Kinetic friction is typically greater than static friction, meaning that it takes more force to get an object to start moving than it does to keep it moving.

How can the coefficient of friction be used to predict the sliding motion of an object?

The coefficient of friction is a value that represents the amount of friction between two surfaces. By knowing the coefficient of friction between an object and the surface it is sliding on, we can predict how much force will be needed to keep the object in motion or to bring it to a stop. A higher coefficient of friction means that more force will be needed to maintain the object's motion.

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