Concept explainers
SSM A worker drags a crate across a factory floor by pulling on a rope tied to the crate. The worker exerts a force of magnitude F = 450 N on the rope, which is inclined at an upward angle θ = 38° to the horizontal, and the floor exerts a horizontal force of magnitude ƒ = 125 N that opposes the motion. Calculate the magnitude of the acceleration of the crate if (a) its mass is 310 kg and (b) its weight is 310 N.
Want to see the full answer?
Check out a sample textbook solutionChapter 5 Solutions
Fundamentals of Physics Extended
Additional Science Textbook Solutions
Microbiology: An Introduction
Physics for Scientists and Engineers: A Strategic Approach, Vol. 1 (Chs 1-21) (4th Edition)
Chemistry: A Molecular Approach (4th Edition)
Organic Chemistry
Laboratory Experiments in Microbiology (12th Edition) (What's New in Microbiology)
Applications and Investigations in Earth Science (9th Edition)
- If the vector components of the position of a particle moving in the xy plane as a function of time are x(t)=(2.5ms2)t2i and y(t)=(5.0ms3)t3j, when is the angle between the net force on the particle and the x axis equal to 45?arrow_forwardA bag of cement weighing 325 N hangs in equilibrium from three wires as suggested in Figure P4.23. Two of the wires make angles 1 = 60.0 and 2 = 40.0 with the horizontal. Assuming the system is in equilibrium, find the tensions T1, T2, and T3 in the wires. Figure P4.23 Problems 23 and 24.arrow_forwardA block of mass m1 = 3.9 kg is placed on top of a block with mass m2 = 5.4 kg. A force, F = is applied to m2, at an angle 16.1 degrees above the horizontal. If the coefficient of static friction between all moving surfaces is 0.42 and the coefficient of kinetic friction is 0.32, determine the magnitude of the minimum force that will get the blocks moving.arrow_forward
- A 3.2 kg block is pushed along a horizontal floor by a force of magnitude 32 N at a downward angle θ = 40°. The coefficient of kinetic friction between the block and the floor is 0.26. Calculate the magnitudes of (a) the frictional force on the block from the floor and (b) the block’s acceleration.arrow_forwardIn the figure, a block of mass m = 3.40 kg is pulled along a horizontal frictionless floor by a cord that exerts a force of magnitude F = 11.9 N at an angle θ = 29.0°. (a) What is the magnitude of the block's acceleration? (b) The force magnitude F is slowly increased. What is its value just before the block is lifted (completely) off the floor? (c) What is the magnitude of the block's acceleration just before it is lifted (completely) off the floor?arrow_forwarda slab of mass m1 40 kg rests on a frictionless floor, and a block of mass m2 10 kg rests on top of the slab. Between block and slab, the coefficient of static friction is 0.60, and the coefficient of kinetic friction is 0.40.A horizontal force of magnitude 100 N begins to pull directly on the block, as shown. In unit-vector notation, what are the resulting accelerations of (a) the block and (b) the slab?arrow_forward
- A crate of mass m=48 kg is on a horizontal surface. Assume there is no friction between the crate and the surface. Two forces with magnitude F=28.5 N are applied to the crate, as shown. One force is horizontal, and the other makes and angle of φ = 31.3° with horizontal. (a) Write an expression for the magnitude of the acceleration of the crate in terms of F, m, and φ. (b) What is the magnitude of the acceleration of the crate in m/s2m/s2?arrow_forwardIn the figure, a crate of mass m = 94 kg is pushed at a constant speed up a frictionless ramp (0 = 31°) by a horizontal force F. The positive direction of an x axis is up the ramp, and the positive direction of a y axis is perpendicular to the ramp. (a) What is the magnitude of F? (b) What is the magnitude of the normal force on the crate? (a) Number Units (b) Number i Units >arrow_forwardIn Fig, a block of mass m =5.00 kg is pulled along a horizontal frictionless floor by a cord that exerts a force of magnitude F =12.0 N at an angle θ=25deg. (a) What is the magnitude of the block’s acceleration? (b) The force magnitude F is slowly increased. What is its value just before the block is lifted (completely) off the floor? (c) What is the magnitude of the block’s acceleration just before it is lifted (completely) off the floor?arrow_forward
- During a storm, a tree limb breaks off and comes to rest across a barbed wire fence at a point that is not in the middle between two fence posts. The limb exerts a downward force of 292 N on the wire. The left section of the wire makes an angle of 10.5° relative to the horizontal and sustains a tension of 412 N. Find the (a) magnitude and (b) direction (as an angle relative to horizontal) of the tension that the right section of the wire sustains.arrow_forwardA man has to push his boat on the shore across the mud to get to the water. The coefficient of friction between the boat and the mud is given by μ = 0.400. If the boat has a mass of 40 kg, calculate the magnitude of the force of friction acting on the boat.arrow_forwardA block of mass m = 13 kg rests on an inclined plane with a coefficient of static friction of μs = 0.085 between the block and the plane. The inclined plane is L = 6.9 m long and it has a height of h = 3.15 m at its tallest point. Part (a) What angle, θ in degrees, does the plane make with respect to the horizontal? Part (b) What is the magnitude of the normal force, FN in newtons, that acts on the block? Part (c) What is the component of the force of gravity along the plane, Fgx in newtons? Part (d) Write an expression, in terms of θ, the mass m, the coefficient of static friction μs, and the gravitational constant g, for the magnitude of the force due to static friction, Fs, just before the block begins to slide. Part (e) Will the block slide?arrow_forward
- Principles of Physics: A Calculus-Based TextPhysicsISBN:9781133104261Author:Raymond A. Serway, John W. JewettPublisher:Cengage LearningPhysics for Scientists and Engineers: Foundations...PhysicsISBN:9781133939146Author:Katz, Debora M.Publisher:Cengage Learning