Find Frictional force on a block

In summary, a 9 kg block on a 30 degree inclined plane with a static coefficient of friction of 0.7 will have a frictional force of either 9.36841 N, 76.3834 N, 53.4684 N, 44.1 N, or 30.87 N. This can be calculated using the equations Ff=ma and F=μ*Fn, where FN=|G| and G=mg.
  • #1
trivk96
47
0

Homework Statement



A block of mass 9 kg rests on a plane inclined
at an angle of 30◦. The static coefficient of
friction between the block and the plane is
0.7.
What is the frictional force on the block?
1. 9.36841 N
2. 76.3834 N
3. 53.4684 N
4. 44.1 N
5. 30.87


Homework Equations


Ff=ma
F=μ*Fn


The Attempt at a Solution


I have no idea
 
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  • #2
The point here is that FN= |G| , they have the same numerical value (are equally large), but they go in the oppposite directions , thus one is positive, the other is negative, + or - sign.

Since gravity pulls downwards, G, the gravitational force points downwards, N is the normal force (in the opposite direction).If we choose positive direction upwards, gravitational pull is negative. with g=-9,81 m/s^2. Remember G=mg, using that FN= |G| will give you the normal force and you can calculate the frictional force from your information.

trivk96 said:

Homework Statement



A block of mass 9 kg rests on a plane inclined
at an angle of 30◦. The static coefficient of
friction between the block and the plane is
0.7.
What is the frictional force on the block?
1. 9.36841 N
2. 76.3834 N
3. 53.4684 N
4. 44.1 N
5. 30.87


Homework Equations


Ff=ma
F=μ*Fn


The Attempt at a Solution


I have no idea
 

Related to Find Frictional force on a block

1. What is frictional force?

Frictional force is the resistance force that occurs when two surfaces come into contact and slide against each other.

2. How is frictional force calculated?

Frictional force can be calculated by multiplying the coefficient of friction (μ) by the normal force (N) between the two surfaces: F = μN.

3. How does the weight of the block affect the frictional force?

The weight of the block, or the force of gravity acting on it, does not directly affect the frictional force. However, the weight does contribute to the normal force, which in turn affects the frictional force.

4. What factors affect the frictional force on a block?

The main factors that affect frictional force on a block are the roughness of the surfaces in contact, the normal force between the surfaces, and the type of material of the surfaces.

5. How can the frictional force on a block be reduced?

The frictional force on a block can be reduced by using lubricants between the surfaces, making the surfaces smoother, or reducing the normal force between the surfaces.

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