What is and how do we derive force (F) opposite the force of friction (Ff)?

In summary, the formulas to use for an object on an inclined plane with friction are: Sum of all Forces = Force - Force of Friction, Sum of all Forces = mass * acceleration, acceleration = (Sum of all Forces) / mass, and Force of Friction = coefficient of friction * Normal Force. To derive the force minus the force of friction, one must know the mass, angle of incline, and coefficient of friction. Weight is equal to mass times the acceleration of gravity, and normal force refers to the force perpendicular to a surface. If an object is moving at a constant velocity, the friction is proportional to the normal force. If the object is accelerating, the mass is the force divided by the acceleration.
  • #1
pyrojelli
17
0
Sum of all Forces= Force - Force of Friction



We have Formulas to use in our physics test for an object on an inclined plane w/ friction: Sum of all Froces= F-Ff,
Sum of all Forces=ma,
a=(Sum of all Forces)/m
Ff=Uk(N)
and Sum of all Forces=(mg)sin(theta)-Uk(mg)cos(theta)



We need to know how to derive F (not the sum of forces "F" but the F that is minus Force of friction) if we are only given mass, theta, and coefficient of friction. also We wish to know the difference between weight, mass, mass*gravity, the Normal Force, and Newtons.
 
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  • #2
Well - the relationship between force, mass and acceleration is F = ma.

One measures acceleration, then calculates force.

Weight is simply m*g or mass times the acceleration of gravity, and is a force. Normal means perpendicular to a surface in the usual context.

Is the weight moving or not?

If static, i.e. then friction is proportional to the normal force of the mass on the surface.

If moving at constant velocity, what does that imply?

If the mass is acceleration, what does that imply?
 
  • #3


Firstly, it is important to understand the difference between weight and mass. Mass is a measure of the amount of matter an object contains, while weight is a measure of the force of gravity acting on an object. Weight is dependent on the mass of an object and the gravitational force acting on it, which is why we often use the equation W=mg, where W is weight, m is mass, and g is the acceleration due to gravity.

Now, let's focus on deriving F (the force opposite the force of friction). In order to do this, we need to use the equation F=ma, where F is the net force acting on an object, m is the mass of the object, and a is the acceleration of the object. In this case, we are looking for the net force that is opposite the force of friction, which we can represent as Ff. Thus, we can rewrite the equation as F-Ff=ma.

Next, we need to determine the value of Ff, which is the force of friction. This can be calculated using the formula Ff=Uk(N), where Uk is the coefficient of kinetic friction and N is the normal force acting on the object. The normal force is the force exerted by a surface on an object in contact with it, and it is always perpendicular to the surface.

Finally, we can substitute the value of Ff into our equation and solve for F. This will give us the net force acting on the object that is opposite to the force of friction. It is important to note that this net force may not always be equal to the force of friction, as it depends on the other forces acting on the object.

In summary, we derive the force opposite the force of friction by using the equation F=ma and determining the value of the force of friction using the formula Ff=Uk(N). By substituting the value of Ff into the equation, we can solve for F and determine the net force acting on the object in the opposite direction of the force of friction.
 

1. What is force (F)?

Force is a physical quantity that can cause an object to accelerate or change its motion. It is measured in Newtons (N).

2. What is friction (Ff)?

Friction is a force that resists the motion of an object when it is in contact with another surface. It is caused by irregularities in the surfaces and can vary depending on factors such as the type of surface and the force pressing the surfaces together.

3. How do we measure force (F)?

Force can be measured using a device called a force meter or a spring scale. These devices use the principle of Hooke's law, which states that the force applied to an object is directly proportional to the amount it stretches or compresses.

4. How do we calculate the force (F) opposite the force of friction (Ff)?

The force (F) opposite the force of friction (Ff) can be calculated using the equation F = μFf, where μ is the coefficient of friction. This coefficient is a constant value that depends on the type of surfaces in contact and the force pressing them together.

5. How does the force (F) opposite the force of friction (Ff) affect an object's motion?

The force (F) opposite the force of friction (Ff) acts in the opposite direction of the applied force and can slow down or stop an object's motion. The greater the force of friction, the more it will resist the object's motion.

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