1. A block of mass m = 5.0 kg is pulled along a horizontal floor or up the ramp by a force of magnitude F = 50 N The coefficient of kinetic friction between the block and surface is 0.15 and the magnitude of the angle 0 25.0°. (a) Make a free-body diagram of the block for each case (b) Calculate the magnitude of the normal force and kinetic friction force for each case (c) Calculate the acceleration of the block. F М ө ө |м ө Case 1 Case 2 Case 3

1. A block of mass m = 5.0 kg is pulled along a horizontal floor or up the ramp by a force of magnitude F = 50 N The coefficient of kinetic friction between the block and surface is 0.15 and the magnitude of the angle 0 25.0°. (a) Make a free-body diagram of the block for each case (b) Calculate the magnitude of the normal force and kinetic friction force for each case (c) Calculate the acceleration of the block. F М ө ө |м ө Case 1 Case 2 Case 3

Principles of Physics: A Calculus-Based Text

5th Edition

ISBN:9781133104261

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter5: More Applications Of Newton’s Laws

Section: Chapter Questions

Problem 12P: A block of mass 3.00 kg is pushed up against a wall by a force P that makes an angle of = 50.0 with...

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A block of mass 3.00 kg is pushed up against a wall by a force P that makes an angle of = 50.0 with the horizontal as shown in Figure P5.12. The coefficient of static friction between the block and the wall is 0.250. (a) Determine the possible values for the magnitude of P that allow the block to remain stationary. (b) Describe what happens if P has a larger value and what happens if it is smaller. (c) Repeat parts (a) and (b), assuming the force makes an angle of = 13.0 with the horizontal. Figure P5.12
(a) What is the minimum force of friction required to hold the system of Figure P4.74 in equilibrium? (b) What coefficient of static friction between the 100.-N block and the table ensures equilibrium? (c) If the coefficient of kinetic friction between the 100.-N block and the table is 0.250, what hanging weight should replace the 50.0-N weight to allow the system to move at a constant speed once it is set in motion? Figure P4.74
An object of mass m is dropped from the roof of a building of height h. While the object is falling, a wind blowing parallel to the face of the building exerts a constant horizontal force F on the object. (a) How long does it take the object to strike the ground? Express the time t in terms of g and h. (b) Find an expression in terms of m and F for the acceleration ax of the object in the horizontal direction (taken as the positive x-direction). (c) How far is the object displaced horizontally before hitting the ground? Answer in terms of m, g, F, and h. (d) Find the magnitude of the objects acceleration while it is falling, using the variables F, m, and g.
An object of mass m is dropped al t = 0 from the roof of a building of height h. While the object is falling, a wind blowing parallel to the face of the building exerts a constant horizontal force F on the object. (a) At what time t does the object strike the ground? Express t in terms of g and h. (b) Find an expression in terms of m and F for the acceleration ax of the object in the horizontal direction (taken as the positive x direction). (c) How far is the object displaced horizontally before hitting the ground? Answer in terms of m, g, F, and h. (d) Find the magnitude of the objects acceleration while it is falling, using the variables F, m, and g.
An iron bolt of mass 65.0 g hangs from a string 35.7 cm long. The top end of the string is fixed. Without touching it, a magnet attracts the bolt so that it remains stationary, but is displaced horizontally 28.0 cm to the tight from the previously vertical line of the string. The magnet is located to the right of the bolt and on the same vertical level as the bolt in the final configuration. (a) Draw a free-body diagram of the bolt. (b) Find the tension in the string, (c) Find the magnetic force on the bolt.
Consider the baby being weighed in Figure 4.34. (a) What is the mass of the child and basket if a scale reading of 55 N is observed? (b) What is the tension T1 in the cord attaching the baby to the scale? (c) What is the tension T2 in the cord attaching the scale to the ceiling, if the scale has a mass of 0.500 kg? (d) Draw a sketch of the situation indicating the system of interest used to solve each part. The masses of the cords are negligible.
Two blocks of masses m1 and m2, are placed on a table in contact with each other as discussed in Example 5.7 and shown in Figure 5.13a. The coefficient of kinetic friction between the block of mass m1 and the table is 1, and that between the block of mass m2 and the table is 2. A horizontal force of magnitude F is applied to the block of mass m1. We wish to find P, the magnitude of the contact force between the blocks. (a) Draw diagrams showing the forces for each block. (b) What is the net force on the system of two blocks? (c) What is the net force acting on m1? (d) What is the net force acting on m2? (e) Write Newtons second law in the x direction for each block. (f) Solve the two equations in two unknowns for the acceleration a of the blocks in terms of the masses, the applied force F, the coefficients of friction, and g. (g) Find the magnitude P of the contact force between the blocks in terms of the same quantities.
1. A 15.0 kg box is being pulled along level ground by a 75.0 N force that is directed at an angle of 20o above the horizontal. The coefficient of kinetic friction is 0.330. What is the acceleration of the box? 2. A 5.00 kg box is being pulled at constant speed up a 30o incline by a force of 45.0 N parallel to the incline. Determine the coefficient of kinetic friction between the box and the plane
A 6.00 kg box is pulled horizontally with a 40.0 N force that makes an angle of 50.0° with the horizontal. The coefficient of kinetic friction between the surface and the box is 0.230. What are the algebraic expressions for the normal force (FN) and the acceleration of the box?
2. An object of mass M-40 kg is pushed up an inclined plane with an acceleration of 0.5 m/s by a force T. The force T is parallel to the horizontal. The inclined plane forms an angle of 0-37 with the horizontal. The coefficient of kinetic friction of an object with an inclined plane is 0.20. a. Draw a free-body diagram of the forces acting on the block as it is pushed up an inclined plane. b. Determine the magnitude of the force T.
A bulldozer is attempting to drag a log weighing 500N along a horizontal rough surface. The cable attached to the log makes an angle of 30.0 degrees with the ground. The tension in the cable is 430N. The coeffecticient of static friction between the log and the ground is 0.500 1) Draw a free-body diagram of the log 2) What is the magnitude of the normal force? A) 128 N B) 285 N C) 500N D)785 N 3) Is the tension enough to get the log started moving?
The weight of the block in the drawing is 62.0 N. The coefficient of static friction between the block and the vertical wall is 0.440. (a) What minimum magnitude of the force is required to prevent the block from sliding down the wall? (Hint: The static frictional force exerted by the block is directed upward, parallel to the wall.) (b) What minimum force is required to start the block moving up the wall? (Hint: The static frictional force is now directed down the wall.)