How to calculate speed with friction
Friction has nothing to do with speed. Because f = Nu, n is the pressure, u is the dynamic friction coefficient (that is, the roughness of the contact surface). Sliding friction is related to pressure, material and smoothness
Friction is related to the objects that rub each other, so the description of friction in physics is neither general nor accurate as other forces. Without friction, shoelaces can't be fastened, and screws and nails can't hold objects The biggest difference in friction is between static friction and other friction. Some people think that static friction should not actually be counted as friction. Other frictional forces are related to dissipation: it reces the relative velocity of objects that rub against each other and converts mechanical energy into heat energy The friction between solid surfaces can be divided into sliding friction, rolling friction, static friction, rolling friction and rotational friction. In engineering technology, people use lubricating oil to rece friction. If two surfaces are separated by a layer of liquid, liquid friction can occur between them. If the separation of liquid is not complete, mixed friction may also occurair track works by air friction. The working principle of lubricating oil and air track is to use "liquid or gas (i.e. fluid) friction to replace solid friction" to work
extended data
an experiment to study the relationship between the size of sliding friction and which factors: in the experiment, a spring scale should be used to pull the wood block to do uniform linear motion. This is because the spring scale measures the tension rather than the friction. When the block moves in a straight line at a constant speed, the pulling force in the horizontal direction of the block and the friction between the board and the block are a pair of balance forces
according to the condition of the balance of the two forces, the pull force should be equal to the friction force. So we measure the tension, that is, we measure the friction. A large number of experiments show that the sliding friction is only related to the pressure on the contact surface and the roughness of the contact surface. The greater the pressure, the greater the sliding friction; The rougher the contact surface is, the greater the sliding friction is
the sliding friction is the force that hinders the relative motion of objects in contact with each other, not necessarily the force that hinders the motion of objects. That is to say, friction is not necessarily resistance, it may also be the motive force to make the object move. It should be clear that the object in contact with each other is the reference object to block the "relative motion"“ "Object motion" may refer to other objects
the sliding friction has nothing to do with the speed of the object movement, and has nothing to do with the size of the contact area between objects
in the study of practical problems, in order to simplify, the "idealized" method is often used. For example, if one object is placed on the smooth surface of another object, the "smooth" means that there is no friction between two objects if they move relative to each other
The direction of sliding friction is always along the contact surface and opposite to the relative motion direction of the objectfriction is related to velocity in some cases, but not in others
for example,
in the case of slow speed, when an object moves on the ground, it can be considered that the friction has nothing to do with the speed
when the speed is fast and the object moves on the ground, not only the friction between the ground and the object should be considered, but also the friction between the air and the object. At this time, the friction is related to the speed. The faster the speed, the greater the friction.
I think that the greater the speed, the longer the distance to move in the same time, and the work done is equal to the proct of the force and the distance to move.
(w = f) × S) When the friction force F remains unchanged, the longer the distance s moves in a certain period of time, the more work the friction force does to your sole. The more work the friction force does, the more internal energy of the sole will be increased. The increase of internal energy shows that the temperature of the sole will rise. When the temperature rises enough, the rubber of the sole will melt, It's what you call wear and tear. When you touch the sole, you will feel it hot
I think so, right? I don't know. I'll ask our physics teacher tomorrow and give you a satisfactory answer`
just like the rain in the sky, the initial speed of the rain is 0 at the beginning, and the speed increases and the friction graally increases. Finally, when the gravity and friction balance, the rain falls to the ground at a constant speed
I. main content
this chapter includes the concept and calculation method of force, the concept and calculation of gravity, elastic force and friction force, Newton's law of motion, the concept and law of object balance, weightlessness and overweight. The key content is the application of gravity, elastic force and friction force in Newton's second law, which requires students to be able to establish a correct "relationship between motion and force". Therefore, a deep understanding of Newton's first law is the basis of solving specific physical problems with Newton's second law in this chapter< The basic methods involved in this chapter are: the parallelogram rule of the decomposition and composition of forces, which is the general rule of the addition and subtraction of all vectors; When using Newton's second law to solve specific practical problems, it is often necessary to isolate an object from many other objects for force analysis. The isolation method is the basis of analyzing the force situation of objects, and the analysis of the force situation of objects is the basis of applying Newton's second law. Therefore, this method of isolating an isolated object from complex objects for research is very important in this chapter< In the process of knowledge application in this chapter, the mistakes that beginners often make are as follows: they can't correctly analyze the force on objects, and the reasons usually appear in the analysis and calculation of elastic force and friction force, especially the analysis of friction force (especially static friction force); For example, when using Newton's second law and kinematic formula to solve problems, it often shows the error of positive and negative sign when using vector formula to calculate. The essential reason is that the relationship between motion and force can not be correctly grasped, and the object will move in that direction if it is mistakenly thought that the object is subject to external force in any direction
example 1 A and B play tug of war hand in hand, and in the end, a wins and B loses, so which one of them is more affected
[wrong explanation] because a is better than B, the pull of a to B is greater than that of B to a. Just like tug of war, Party A's victory must be e to Party A's great pull on Party B
[causes of misinterpretation] the causes of the above misinterpretation are students' subjective imagination rather than analyzing problems according to physical laws. According to the laws of physics, we know that the motion state of an object is not determined by which force, but by the combined external force. The reason why a wins B is that a is affected by external forces. According to Newton's third law, the pulling force between a and B is the interaction force. The pulling force between a and B is the same
[analytical solution] the pulling force between a and B is the interaction force. According to Newton's third law, the force is equal in size and opposite in direction, acting on a and B
[comment and analysis] some feelings in life are not always correct. We can't use the experience and feelings in life as laws. We should use physical laws to solve problems
example 2 is shown in Figure 2-1. A block of wood is placed on a horizontal table, and it is subjected to three forces in the horizontal direction, F1, F2 and friction, and is in a static state. Where F1 = 10N, F2 = 2n. If the force F1 is removed, the combined external force on the block in the horizontal direction is ()
a.10n to the left, b.6n to the right, c.2n to the left, d.0
[misinterpretation] the block remains static under the action of three forces. When F1 is removed, the resultant force of the other two forces is equal to the removal force, but the direction is opposite. So a is correct
[cause of misinterpretation] the reason for the above misinterpretation is the result of the conclusion that "the object is in equilibrium under the action of several forces, if one force is removed at a certain time, the resultant force of other forces is equal to the force removed, and the direction is opposite to that of the force". In fact, there is a prerequisite for this law to be true, that is, one of the forces is removed, while the other forces remain unchanged. After F1 is removed from this question, the conclusion does not hold because the friction force changes
[analytical solution] because the wood block is in a static state, the friction force is static. According to Newton's law, f1-f2-f = 0, and the static friction force is 8N to the left. When F1 is removed, the horizontal direction of the block is forced by 2n to the left, and it tends to move to the left. Because F2 is less than the maximum static friction, the friction is still static friction. In this case - F2 + F ′ = 0 means that the resultant force is zero. So option D is correct
[comment and analysis] the problem of friction is mainly used to analyze the motion trend and relative motion of objects. The so-called motion trend is generally interpreted as the state that an object has not yet moved. Motionless is e to the existence of static friction, which hinders the relative motion and makes the relative motion between objects show a trend. The way to determine the direction of the motion trend is to assume that there is no static friction and judge which direction the object moves in, which is the direction of the motion trend. If the static friction is removed and there is no relative motion, there will be no relative motion trend and the static friction will not exist
example 3 as shown in Figure 2-2, an object m is placed on a long rough board placed horizontally. When it is used to lift one end slowly, how will the pressure and friction force on the board change
[wrong solution] the object on the board is taken as the research object. Objects are subject to gravity, friction and supporting force. Because the object is still, according to Newton's second law, there is a wrong solution 1: according to formula 2 θ F increases< Wrong solution 2: there is another wrong solution, that is, according to formula 2 θ When n increases, f decreases= μ N indicates that f decreases
[reason for misinterpretation] both misinterpretation 1 and misinterpretation 2 failed to fully understand the whole process of slowly lifting the board. Only one side is grasped, and the analysis of physical situation is lacking. If we can start from the static wood block relative to the board, we can find out that if we raise it again, it will slide relatively, which will avoid the wrong solution. If you think of F= μ If n is the criterion of sliding friction, we should consider what happened before sliding, so as to avoid Missolving the second problem
[analytical solution] take the object as the research object, as shown in Figure 2-3. The object is subject to gravity, friction and supporting force. In the process of slowly lifting, the object first stands still and then slides. At rest, according to the solution in wrong solution 1, we can see that θ The static friction increases with the increase of temperature. When an object slides on an inclined plane, it can be solved in the same way as in the second solution= μ N. By analyzing the change of N, we know the change of f-slip. θ The sliding friction decreases with the increase of friction. In the whole process of slowly lifting, the equation relationship in Y direction remains unchanged. According to the misinterpretation of Chinese formula (2), we know that the pressure has been decreasing. Therefore, in the process of lifting the board, the change of friction first increases and then decreases. The pressure keeps decreasing
[comment and analysis] there are some changing processes in physical problems, which are not monotonic. It can be regarded as a kind of problem in the balance problem. This kind of problem should focus on the relationship between variables and invariants. We can start from the force analysis, find the relationship by using the balance equation, or solve the problem with the vector triangle rule by using the diagram. When the object is not sliding, it is in equilibrium and the acceleration is zero. The three forces acting on it form a closed triangle. As shown in Figure 2-4. Similar problems are shown in Fig. 2-5. When a ball is hung on a smooth wall with a rope, how will the tension of the rope and the pressure of the ball on the wall change when the rope becomes shorter. It is not difficult to see from the corresponding vector triangle figure 2-6 that when the rope becomes shorter, θ As the angle increases, n increases and t increases. Figure 2-7 hang a weight g on the AC rope, tie a rope Bo at the middle o point of the AC rope, pull the rope Bo with the horizontal force F, keep the Ao direction unchanged, and make the Bo rope move up slowly along the direction indicated by the dotted line. During this process, what is the change of force F and tension on AO rope? Using the vector triangle (as shown in Figure 2-8), we can see that t becomes smaller and f becomes smaller first and then larger. This kind of problem is characterized by the balance of three common forces. Usually, the size and direction of one force remain unchanged, the direction of the other force remains unchanged, the size changes, and the size and direction of the third force change. Sometimes the size and direction of one force remain unchanged, the size and direction of the other force remain unchanged, and the size and direction of the third force change
example 4, as shown in Figure 2-9, the object is still on the inclined plane. Now the horizontal external force F is used to push the object. In the process of graal increase of external force F from zero, the object always remains static. How does the friction force on the object change
[wrong solution] wrong solution 1: take the object on the inclined plane as the research object, and the force on the object is shown in Figure 2-10. The object is subject to gravity mg, thrust F, supporting force N, and static friction F. since the thrust f is horizontally to the right, the object tends to move upward, and the direction of friction f is downward along the inclined plane. According to Newton's second law, the equation
F + mgsin is formulated θ= Fcos θ ①
N-Fsin θ- mgcos θ= (2)
it can be seen from formula (1) that f increases and f also increases. So the friction increases in the process of change< Some students think that if the direction of friction is upward along the inclined plane, f will increase and friction will decrease
[reason for misinterpretation] the reason for the above misinterpretation is that the static friction is not clearly understood, so the change of friction in the process of external force change cannot be analyzed< The key of this problem is to determine the direction of friction. Due to the change of the external force, the movement trend of the object on the inclined plane changes, as shown in Figure 2-10 θ< mgsin θ The object tends to move downward, and the direction of friction is upward along the slope. F increases and f decreases. It's the same as misinterpretation two. As shown in Figure 2-11, when the external force is large (fcos) θ> mgsin θ The object tends to move upward, the direction of friction is downward along the inclined plane, the external force increases, and the friction increases. When fcos θ= mgsin θ The friction is zero. Therefore, in the process of increasing the external force from zero, the change of friction first decreases and then increases
[analysis] if the object on the inclined plane slides down along the inclined plane, the mass is m, and the friction coefficient between the object and the inclined plane is m μ, We can consider two problems to consolidate the previous analysis method
(1) when f is what value, the object will remain stationary
(2) when f is what value, the object starts to move along the inclined plane with acceleration a from rest
inspired by the previous question, we can think that the value of F should be a range
firstly, the object is taken as the research object. When f is small, as shown in Figure 2-10, the object is subjected to gravity mg, supporting force N, oblique upward friction F and F. When the body is just at rest, it should be the boundary value of F, and the friction force is the maximum static friction force, which can be approximately regarded as the static friction force of F= μ According to Newton's second law, the equation
is formulated. When f starts to increase from this value, the direction of static friction is still inclined upward, but the size decreases. When f increases to fcos, the direction of static friction is still inclined upward θ= mgsin θ F = mg · TG θ When f increases again, the direction of friction is changed to oblique downward, and the equation
can still be listed according to the stress analysis figure 2-11. With the increase of F, the static friction increases, and the maximum value of F corresponds to the maximum static friction of oblique downward
to make the object stationary, the value of F should be
as for the second question, the reader should be reminded that it is not proposed to move upward or downward with acceleration a in the question, and two solutions should be considered. The solution is not detailed here, and the answer is given for reference
example 5 is shown in Figure 2-12
after the pulling force is removed, the object still has speed, so there is relative sliding. Therefore, the calculation method of friction is f-sliding= μ mg/m= μ g=0.1*10=1m/s^2
