Concept explainers
Show that the acceleration of any object down an incline where friction behaves simply (that is, where
Trending nowThis is a popular solution!
Chapter 5 Solutions
COLLEGE PHYSICS
Additional Science Textbook Solutions
Conceptual Physics (12th Edition)
University Physics with Modern Physics (14th Edition)
College Physics: A Strategic Approach (4th Edition)
Lecture- Tutorials for Introductory Astronomy
Sears And Zemansky's University Physics With Modern Physics
Physics for Scientists and Engineers: A Strategic Approach with Modern Physics (4th Edition)
- A block of mass m = 10.5 kg rests on an inclined plane with a coefficient of static friction of µ, = 0.11 between the block and the plane. The inclined plane is L = 6.9 m long and it has a height of h = 3.3 m at its tallest point. Write an expression, in terms of 0, the mass m, the coefficient of static friction u, and the gravitational constant g, for the magnitude of the force due to static friction, F, just before the block begins to slide. Will the block slide?arrow_forwardmp 30° slides down a playground slide of length I with 2. A person of mass m, friction. The slide makes an angle of 30 degrees with the horizontal. (Note: If you are stuck, review the components of gravitational forces on a ramp.) (a) The person moves with constant velocity. In terms of the given quantities and any fundamental constants, derive an equation for the coefficient of kinetic friction, (b) Suppose the slide has a different so that the person accelerates while sliding down the slide. Derive an equation for the acceleration of the person, , in terms of , any of the other given quantities above, and fundamental constants as needed.arrow_forwardIn the figure, a force P acts on a block weighing 45.0 N. The block is initially at rest on a plane inclined at angle = 18.0° to the horizontal. The positive direction of the x axis is up the plane. The coefficients of friction between block and plane are μ = 0.540 and Uk = 0.340. In unit-vector notation, what is the frictional force on the block from the plane when Pis (a) (-5.30 N)î, (b) (-8.10 N)î, and (c) (-15.1 N)? (a) Number i (b) Number i (c) Number i i+ i+ i i i+ i j Units j Units j Unitsarrow_forward
- A force P= 696 KN whose line of action passes through points A(3, 2, 1) and B(7, 7, 10). Determine the y-component of force P in kN. Write the numerical value only and in 2 decimal places.arrow_forwardA block of mass 8.3 kg is initially at rest on a horizontal plane. The coefficients of kinetic and static friction between the plane and the block are respectivelyμc= 0.25 and μe= 0.36. Consider g = 10 m/s2 A horizontal force of magnitude F = 26.3 N is then applied to the block. In this situation, calculate the magnitude of the friction force (in N, to one decimal place).arrow_forwardIn each my sections of MCEG 1101 (PO1 & P02), a student was asked to toss a tennis ball in front of the screen upon which a grid was projected. Based on my slow-motion video recording of the ball tossed in Section P01, the following data was generated (also see uploaded Excel file "tennis ball toss trajectory"). x (grid units) 1 2 3 4 5 6 verti cal position, y (ft) 4 3.5 2.5 2 Based on these data, a parabolic trendline was developed, as shown in the plot below: 1.5 1 0.5 819 0 7 y (grid units) 0 3 5.3 6.5 6.7 5.8 4 0.9 0.5 1 x(ft) 0.55 1.1 1.65 2.2 2.75 3.3 3.85 4.4 Tennis Ball Toss Data from MCEG 1101-P01 y(ft) 0 1.5 1.65 2.915 3.575 3.685 3.19 2.2 0.495 y = -0.9307x² + 4.7619x - 2.3925 R² = 0.999 2.5 2 3.5 horizontal position, x (ft) 3 4 4.5 5arrow_forward
- Please circle answersarrow_forwardThe magnitudes of the three forces are F1 = 1.6kN,F2 = 1.2kN and F3= 1.0kN. Compute their resulatant in the form (a) R=Rxi + Ryj+Rzkl and (b) R=Rλarrow_forwardQ. 142. A small disc P is placed on an inclined plane forming an angle 0 with the horizontal and imparted an initial velocity vo. Find how the velocity of disc depends on the angle o which its velocity vector makes with the x axis (see figure). The coefficient of friction is u= tan 0 and initially 2 P.arrow_forward
- The drag force exerted on a car by air depends on a dimensionless drag coefficient, the density of air, the car velocity, and the frontal area of the car. That is, FD = function (CDrag, Afront, r, V). Based on unit considerations alone, obtain a relation for the drag force.arrow_forwarda fastidious worker pushes directly along the handle of a mop with a force . The handle is at an angle u with the vertical, and ms and mk are the coefficients of static and kinetic friction between the head of the mop and the floor. Ignore the mass of the handle and assume that all the mop’s mass m is in its head. (a) If the mop head moves along the floor with a constant velocity, then what is F? (b) Show that if u is less than a certain value u0, then (still directed along the handle) is unable to move the mop head. Find u0arrow_forwardA block with a mass m is pushed up an inclined rough surface by a horizontal force F as shown. If the block is being pushed up at a constant speed, find the magnitude of the applied force F, given that theta =35 degrees , m = 5 kg, and the kinetic frictional coefficient between the block and the inclined surface mu_k = 0.2arrow_forward
- College PhysicsPhysicsISBN:9781305952300Author:Raymond A. Serway, Chris VuillePublisher:Cengage LearningUniversity Physics (14th Edition)PhysicsISBN:9780133969290Author:Hugh D. Young, Roger A. FreedmanPublisher:PEARSONIntroduction To Quantum MechanicsPhysicsISBN:9781107189638Author:Griffiths, David J., Schroeter, Darrell F.Publisher:Cambridge University Press
- Physics for Scientists and EngineersPhysicsISBN:9781337553278Author:Raymond A. Serway, John W. JewettPublisher:Cengage LearningLecture- Tutorials for Introductory AstronomyPhysicsISBN:9780321820464Author:Edward E. Prather, Tim P. Slater, Jeff P. Adams, Gina BrissendenPublisher:Addison-WesleyCollege Physics: A Strategic Approach (4th Editio...PhysicsISBN:9780134609034Author:Randall D. Knight (Professor Emeritus), Brian Jones, Stuart FieldPublisher:PEARSON