Yusef pushes a chair of mass m = 55.0 kg across a carpeted floor with a force Fp (the subscript 'p' here is lowercase and throughout the question) of magnitude F, = 164 N directed at 0 = 35.0 degrees below the horizontal (Figure 1). The magnitude of the kinetic frictional force petween the carpet and the chair is F = 108 N .
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Use the component form of Newton's second law to write an expression for the y component of the net force, ΣFy, and write an expression for the x component of the net force, ΣFx.
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- A block with a mass of m = 45 kg rests on a frictionless surface and is subject to two forces acting on it. The first force is directed in the negative x-direction with a magnitude of F1. The second has a magnitude of F2 and acts on the body at an angle θ = 17° measured from horizontal, as shown. 1) Write an expression for the magnitude of the normal force, FN, acting on the block, in terms of F2 and the other variables of the problem. Assume that the surface it rests on is rigid. 2) The two forces change such that F1 = 9.5 N and F2 = 23.5 N. Based on this change, the block may no longer be in static equilibrium. Find the block's acceleration in the x-direction, ax, in meters per second squared.Before the drawbridge starts to open, it is perfectly level with the ground. The dancer is standing still on one leg. What is the horizontal component of the friction force f⃗ ? Express your answer in terms of some or all of the variables n, μs, and/or μk.A block with mass m1=8.8 kg rests on the surface of a horizontal table which has a coefficient of kinetic friction of uk= 0.58. A second block with a mass m2= 10.8 kg is connected to the first by an ideal police system such that the second block is hanging vertically. The second block is released emotion occurs. Using a variable T to represent tension, right expression for the sum of the forces in the Y direction. ∑Fy, for block 2. Using the variable T to represent tension, write an expression for the sum of the forces in the X direction,  ∑Fox, for block 1. Write an expression for the magnitude of the acceleration of block 2, a2, in terms of the acceleration of block 1, a1. (assume the cable connecting the masses is ideal.) Write an expression using the variables provided for the magnitude of the tension force, T. What is the tension, T in Newton’s? 
- The block shown in figure #1 above has a mass of 4.30 kg. The applied force (? ⃑ ) has a magnitude of 31.2 N and is 32.0° above the horizontal, frictionless surface the block in on. a. What is the normal force (magnitude and direction) that acts on the block? b. What is the acceleration (magnitude and direction) that is experienced by the block?(Problem 3: A horizontal force, F1 = 55 N, and a force, F2 = 16.3 N acting at an angle of θ to the horizontal, are applied to a block of mass m = 2.6 kg. The coefficient of kinetic friction between the block and the surface is μk = 0.2. The block is moving to the right. Question: Solve numerically for the magnitude of the normal force, FN in Newtons, that acts on the block if θ = 30°. and, Solve numerically for the magnitude of acceleration of the block, a in m/s2, if θ = 30°.Two crates connected by a rope lie on a horizontal surface (Figure 1). 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. In terms of mA, mB, and μk, calculate the magnitude of the force F. Express your answer in terms of some or all of the variables mA, mB, μk, and acceleration due to gravity g. In terms of mA, mB, and μk, calculate the tension in the rope connecting the blocks. Include the free-body diagram or diagrams you used to determine each answer.
- Two crates connected by a rope of negligible mass lie on a horizontal surface. (Figure 1) 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 a constant velocity of 3.20 cm/s by a horizontal force F⃗. Calculate the magnitude of the force F⃗. (Express your answer in terms of acceleration of gravity g and some or all of the variables mA, mB, and μk.) Calculate the tension in the rope connecting the blocks. (Express your answer in terms of acceleration of gravity g and some or all of the variables mA, mB, and μk.)A dancer is standing on one leg on a drawbridge that is about to open. The coefficients of static and kinetic friction between the drawbridge and the dancer's foot are μs and μk, respectively. n⃗ represents the normal force exerted on the dancer by the bridge, and F⃗g represents the gravitational force exerted on the dancer, as shown in the drawing.(Figure 1). For all the questions, we can assume that the bridge is a perfectly flat surface and lacks the curvature characteristic of most bridges. Before the drawbridge starts to open, it is perfectly level with the ground. The dancer is standing still on one leg. What is the horizontal component of the friction force f⃗? (Express your answer in terms of some or all of the variables n, μs, and/or μk.) (Figure 2). The drawbridge then starts to rise. The dancer continues to stand on one leg. The drawbridge stops just at the point where the dancer is on the verge of slipping. What is the magnitude f of the frictional force now? (Express…Problem 6: At a post office, a parcel that is an m kg box slides down a ramp inclined at an angle θ with the horizontal, as shown. The coefficient of kinetic friction between the box and the ramp is μK, and the coefficient of static friction for the same is μS. Notice that the coordinate axes have been chosen with the x axis directed up the incline, as shown. Part (e) Input an expression for the acceleration of the box in the x direction consistent with the coordinate axes on the diagram. Express your answer in terms of the mass of the box, m, the acceleration due to gravity, g, the angle of the incline, θ, and appropriate coefficients of friction. The coefficient of kinetic friction between the box and the ramp is μK, and the coefficient of static friction for the same is μS. Part (f) Enter a numeric answer for the magnitude of the acceleration in meters per squared seconds when the angle of the incline is 28° and the coefficient of kinetic friction is 0.035. Part (g) Using…
- While sliding a couch across a floor, Hannah and Andrea exerts forces Fh and Fa on the couch. Hannah's force is due north with a magnitude of Fh=71 N and Andrea's force is theta= 36 degrees east of north with a magnitude of Fa = 335N. In this problem, use a coordinate system with y directed north and x directed east. a) Find the net force in the y-direction in Newtons. b) Find the net force in the x-direction in Newtons. c) Calculate the angle in degrees north of east of the net force exerted on the couch by Hannah and Andrea, Fha d) Hannah and Andrea's housemates, David and Stephanie disagree with the move and want to prevent its relocation. Their combined force Fds must be equal and opposite to that of Fha. What is the magnitude in Newtons of the force Fds which will prevent the relocation.Q2; block of mass m = 2.50 kg is pushed d = 2.50 m along a frictionless horizontal table by a constant applied force of magnitude F = 13.0 N directed at an angle θ = 25.0° below the horizontal as shown in the figure below. A block labeled m is on a horizontal surface. An arrow labeled vector F points downward and to the right at an angle θ above the horizontal, and acts upon the upper left corner of the block. A faded image of the block is a distance d to the right of the block. (a) Determine the work done by the applied force. J(b) Determine the work done by the normal force exerted by the table. Your response differs significantly from the correct answer. Rework your solution from the beginning and check each step carefully. J(c) Determine the work done by the force of gravity. J(d) Determine the work done by the net force on the block. JTwo forces are applied to a car in an effort to move it, as shown in the figure below. (Let F1 = 415 N and F2 = 356 N. Assume up and to the right are in the positive directions.) a) What is the resultant vector of these two forces? magnitude N direction ° to the right of the forward direction (b) If the car has a mass of 3,000 kg, what acceleration does it have? Ignore friction.m/s2