Skip to main content
Ch 05: Applying Newton's Laws
Chapter 5, Problem 5

In a laboratory experiment on friction, a 135-N block resting on a rough horizontal table is pulled by a horizontal wire. The pull gradually increases until the block begins to move and continues to increase thereafter. Figure E5.26 shows a graph of the friction force on this block as a function of the pull. (a) Identify the regions of the graph where static friction and kinetic friction occur. Graph showing friction force vs pull force for a block, indicating static and kinetic friction regions.

Verified step by step guidance
1
Observe the graph and note that the friction force (f) is plotted on the y-axis and the pulling force (F) is plotted on the x-axis.
Identify the region where the friction force increases linearly with the pulling force. This region represents static friction, where the block is not yet moving.
Locate the point on the graph where the friction force reaches its maximum value. This point represents the maximum static friction force, beyond which the block starts to move.
Identify the region after the maximum static friction force where the friction force remains constant despite an increase in the pulling force. This region represents kinetic friction, where the block is moving.
Label the regions on the graph: the initial linear increase as static friction and the constant region after the peak as kinetic friction.

Verified Solution

Video duration:
2m
This video solution was recommended by our tutors as helpful for the problem above.
Was this helpful?

Key Concepts

Here are the essential concepts you must grasp in order to answer the question correctly.

Static Friction

Static friction is the force that prevents an object from starting to move when a force is applied. It acts in the opposite direction of the applied force and increases up to a maximum value, known as the static friction limit. In the graph, this is represented by the initial rising section where the friction force increases with the applied pull force until the block begins to move.
Recommended video:
Guided course
08:11
Static Friction & Equilibrium

Kinetic Friction

Kinetic friction occurs when an object is already in motion. It is generally less than static friction and remains relatively constant regardless of the applied force, as long as the object continues to slide. In the graph, this is shown by the horizontal section after the block starts moving, indicating that the friction force stabilizes at a lower value compared to the maximum static friction.
Recommended video:
Guided course
06:18
Kinetic Friction Problems

Friction Force Graph

A friction force graph plots the relationship between the applied force and the friction force experienced by an object. The shape of the graph provides insights into the behavior of static and kinetic friction. In this case, the graph illustrates the transition from static to kinetic friction, highlighting the maximum static friction point and the constant kinetic friction force that follows.
Recommended video:
Guided course
07:32
Graphing Position, Velocity, and Acceleration Graphs
Related Practice
Textbook Question
A man pushes on a piano with mass 180 kg; it slides at constant velocity down a ramp that is inclined at 19.0° above the horizontal floor. Neglect any friction acting on the piano. Calculate the magnitude of the force applied by the man if he pushes (b) parallel to the floor.
2969
views
Textbook Question
A 25.0-kg box of textbooks rests on a loading ramp that makes an angle α with the horizontal. The coefficient of kinetic friction is 0.25, and the coefficient of static friction is 0.35. (b) At this angle, find the acceleration once the box has begun to move.
1265
views
Textbook Question
Find the tension in each cord in Fig. E5.7 if the weight of the suspended object is w.

5141
views
Textbook Question
Two crates connected by a rope lie on a horizontal surface (Fig. E5.37). Crate A has mass mA, and crate B has mass mB. The coefficient of kinetic friction between each crate and the surface is μk. The crates are pulled to the right at constant velocity by a horizontal force F Draw one or more free-body diagrams to calculate the following in terms of mA, mB, and μk: (b) the tension in the rope connecting the blocks.

915
views
Textbook Question

In another version of the 'Giant Swing' (see Exercise 5.50), the seat is connected to two cables, one of which is horizontal (Fig. E5.51). The seat swings in a horizontal circle at a rate of 28.0 rpm (rev/min). If the seat weighs 255 N and an 825-N person is sitting in it, find the tension in each cable.

2979
views
1
rank
1
comments
Textbook Question
A picture frame hung against a wall is suspended by two wires attached to its upper corners. If the two wires make the same angle with the vertical, what must this angle be if the tension in each wire is equal to 0.75 of the weight of the frame? (Ignore any friction between the wall and the picture frame.)
600
views