A 30.0-kg block is resting on a flat horizontal table. On top of this block is resting
Question:
A 30.0-kg block is resting on a flat horizontal table. On top of this block is resting a 15.0-kg block, to which a horizontal spring is attached, as the drawing illustrates. The spring constant of the spring is 325 N/m. The coefficient of kinetic friction between the lower block and the table is 0.600, and the coefficient of static friction between the two blocks is 0.900. A horizontal force is applied to the lower block as shown. This force is increasing in such a way as to keep the blocks moving at a constant speed. At the point where the upper block begins to slip on the lower block, determine
(a) The amount by which the spring is compressed and
(b) The magnitude of the force .
15.0 kg 30.0 kg
Step by Step Answer:
REASONING From the drawing given with the problem statement we see ...View the full answer
Related Video
Static friction and kinetic friction are two types of friction that occur when two objects are in contact with each other. Static friction is the force that must be overcome to initiate motion between two surfaces that are in contact with each other but are not moving relative to each other. It is caused by the interlocking of rough surfaces at the microscopic level, and it increases as the force pushing the surfaces together increases. Once motion between the surfaces starts, the static friction is no longer present. Kinetic friction, also known as sliding friction, is the force that opposes the motion of two surfaces that are in contact with each other and are moving relative to each other. It is caused by the rubbing of the surfaces against each other and the resistance of the molecules in the surfaces to being moved. Kinetic friction is generally less than static friction, but it can still be a significant force, especially at high speeds. Both static and kinetic friction can be quantified using a coefficient of friction, which is a dimensionless number that represents the ratio of the frictional force between two surfaces to the normal force (the force perpendicular to the surfaces). The coefficient of static friction is typically greater than the coefficient of kinetic friction for a given pair of surfaces, because it takes more force to overcome the interlocking of the surfaces at rest than to maintain motion once it has started.
Students also viewed these Modern Physics questions
-
A 1.00 10-2 -kg block is resting on a horizontal frictionless surface and is attached to a horizontal spring whose spring constant is 124 N/m. The block is shoved parallel to the spring axis and is...
-
A 10.0-kg block is released from point A in Figure P8.57. The track is frictionless except for the portion between points A and B, which has a length of 6.00 m. The block travels down the track, hits...
-
A 2.0 kg block is attached to the end of a spring with a spring constant of 350 N/m and forced to oscillate by an applied force F = (15 N) sin((dt), where (d = 35 rad/s. The damping constant is b =...
-
Jake needed a summer job and was lucky enough to land a position as a ticket collector at a local amusement park. On his first day, he was assigned to work alongside Tim who had worked at the park...
-
What is meant by the term a culture-bound theory of motivation?
-
How would you synthesize each of the following using a Gilman reagent? (a) (b) (c)
-
A cylinder contains \(0.6 \mathrm{~m}^{3}\) of gas at a pressure of 1 bar and \(90^{\circ} \mathrm{C}\) the gas is compressed to a volume of \(0.18 \mathrm{~m}^{3}\) according to law \(P...
-
Candidates for political office realize that different levels of support among men and women may be a crucial factor in determining the outcome of an election. One candidate finds that 52% of 473 men...
-
: The system of forces shown in figure is in equilibrium Calculate the unknown force 'P' and angle '0'. P 60 N 45 100 N 60 40 N 80 N
-
The bond indenture for the 10-year, 9% debenture bonds issued January 2, 2013, required working capital of $100,000, a current ratio of 1.5, and a quick ratio of 1.0 at the end of each calendar year...
-
To measure the static friction coefficient between a 1.6-kg block and a vertical wall, the setup shown in the drawing is used. A spring (spring constant = 510 N/m) is attached to the block. Someone...
-
A 15.0-kg block rests on a horizontal table and is attached to one end of a massless, horizontal spring. By pulling horizontally on the other end of the spring, someone causes the block to accelerate...
-
What steps can the auditor take to ensure that the disposal of fully depreciated assets is properly recorded? What are the implications if such assets are retained in the accounts?
-
Think about your current work environment or a future work environment. Upon reflection of these work environments, think about the types of technology driven software tools which could be used to...
-
Describe the entertainment components you would employ for the following events, including why you have selected them and how they support the structure of the event experience. Also, explain the...
-
Mary owns the only ballet school in Santa Barbara. There is demand from college students and long term residents. The inverse demand for private lessons from the students is p(q) = 50-q, and the...
-
describe a specific example of the use of decision trees in business context. For example, decision trees can be used to forecast home buyer's willingness to close a deal. Directions: Explain what...
-
calculate the following employees gross pay and net income . Kim Jones works for an hourly rate of $7.50. This week Kim worked 39 hours. What is Kims gross pay for this week? She is paid weekly CC1....
-
Why do signaling responses that involve changes in proteins already present in the cell occur in milliseconds to seconds, whereas responses that require changes in gene expression require minutes to...
-
10m solution. If Ka(HA) = 10 then pOH of solution will be [Given : log4=0.6] (A) 6.7 (B) Greater than 6.7 & less than 7.0 (C) Greater 7.0 & less than 7.3 (D) Greater than 7.3
-
A thin-walled pipe rolls along the floor. What is the ratio of its translational kinetic energy to its rotational kinetic energy about the central axis parallel to its length?
-
A solid sphere of weight 36.0 N rolls up an incline at an angle of 30.0. At the bottom of the incline the center of mass of the sphere has a translational speed of 4.90 m/s. (a) What is the kinetic...
-
An automobile has a total mass of 1700 kg. It accelerates from rest to 40 km/h in 10 s. Assume each wheel is a uniform 32 kg disk. Find, for the end of the 10 s interval, (a) The rotational kinetic...
-
Explore the concept of principal quantum numbers in quantum mechanics and atomic structure. How do principal quantum numbers, denoted by the symbol "n," define the energy levels and electron...
-
1. How many electrons make up a charge of 1.0 MC? 2. What is the total charge on 1.0 kg of electrons?
-
What frequency of sound would have a wavelength the same size as a 0.81 m -wide window? (The speed of sound is 344m/s at 20 o C .)
Study smarter with the SolutionInn App