Problem #1: A 75-kg snowboarder is traveling down a slope at an initial speed of 10 m/s. The slope has an incline of 15.0°. Friction is present. 444 (a) Draw a free body diagram to represent the situation. (b) Determine the normal force on the snowboarder (c) If the coefficient of kinetic friction is O.5, determine if the boarder is speeding up or slowing down.

Problem #1: A 75-kg snowboarder is traveling down a slope at an initial speed of 10 m/s. The slope has an incline of 15.0°. Friction is present. 444 (a) Draw a free body diagram to represent the situation. (b) Determine the normal force on the snowboarder (c) If the coefficient of kinetic friction is O.5, determine if the boarder is speeding up or slowing down.

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 14P: Three objects are connected on a table as shown in Figure P5.14. The coefficient of kinetic friction...

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Three objects are connected on a table as shown in Figure P5.14. The coefficient of kinetic friction between the block of mass m2 and the table is 0.350. The objects have masses of m1 = 4.00 kg, m2 = 1.00 kg, and m3 = 2.00 kg, and the pulleys are frictionless. (a) Draw a free-body diagram of each object. (b) Determine the acceleration of each object, including its direction. (c) Determine the tensions in the two cords. What If? (d) If the tabletop were smooth, would the tensions increase, decrease, or remain the same? Explain. Figure P5.14
A nurse pushes a cart by exerting a force on the handle at a downward angle 35.0° below the horizontal. The loaded cart has a mass of 28.0 kg, and the force of friction is 60.0 N. (a) Draw a free-body diagram for the system of interest. (b) What force must the nurse exert to move at a constant velocity?
Consider the three connected objects shown in Figure P5.43. Assume first that the inclined plane is frictionless and that the system is in equilibrium. In terms of m, g, and , find (a) the mass M and (b) the tensions T1 and T2. Now assume that the value of M is double the value found in part (a). Find (c) the acceleration of each object and (d) the tensions T1 and T2. Next, assume that the coefficient of static friction between m and 2m and the inclined plane is s and that the system is in equilibrium. Find (e) the maximum value of M and (f) the minimum value of M. (g) Compare the values of T2 when M has its minimum and maximum values. Figure P5.43
Two blocks of masses m1 and m2 (m1 m2) are placed on a frictionless table in contact with each other. A horizontal force of magnitude F is applied to the block of mass m1 in Figure P4.62. (a) If P is the magnitude of the contact force between the blocks, draw the free-body diagrams for each block. (b) What is the net force on the system consisting of both blocks? (c) What is the net force acting on m1? (d) What is the net force acting on m2? (e) Write the x-component of Newtons second law for each block. (f) Solve the resulting system of two equations and two unknowns, expressing the acceleration a and contact force P in terms of the masses and force. (g) How would the answers change if the force had been applied to m2 instead? (Hint: use symmetry; dont calculate!) Is the contact force larger, smaller, or the same in this case? Why? Figure P4.62
A 75.0-kg man stands on a bathroom scale in an elevator that accelerates from rest to 30.0 m/s in 2.00 s. (a) Calculate the scale reading in newtons and compare it with her weight. (The scale exerts an upward force on her equal to its reading.) (b) What Is unreasonable about the result? (c) Which premise is unreasonable, or which premises are inconsistent?
Two objects, m1 = 3.00 kg and m2 = 8.50 kg, are attached by a massless cord passing over a frictionless pulley as shown in Figure P5.51. Assume the horizontal surface is frictionless. a. Draw a free-body diagram for each of the two objects. b. What is the tension in the cord? c. What is the magnitude of the acceleration of the two objects? FIGURE P5.51 Problems 51 and 65.
A block with a mass of m = 43 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 = 9.5 N. The second has a magnitude of F2 = 18 N and acts on the body at an angle θ = 17° measured from horizontal, as shown. a) Draw a free body diagram b) Write an expression for the component of net force, Fnet,x, in the x-direction, in terms of the variables given in the problem statement. c) 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. d)Find the block's acceleration in the x-direction, ax, in meters per second squared.
A block with a mass of m = 48 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 = 10.5 N. The second has a magnitude of F2 = 21.5 N and acts on the body at an angle θ = 12° measured from horizontal, as shown. 1).Please draw the correct free body diagram 2).Write an expression for the component of net force, Fnet,x, in the x-direction, in terms of the variables given in the problem statement. 3).Write an expression for the magnitude of the normal force, FN, acting on the block, in terms of F2, g, and the other variables of the problem. Assume that the surface it rests on is rigid. 4).
A 2.5kg concrete block sliding on a vertical wall is being acted upon by a force P as shown in the figure. Assume that the coefficient of kinetic friction between the concrete block and the wall is 0.88. a). Draw the free-body diagram of the concrete block.b). If the normal force exerted by the wall to the concrete block is 20.0N, what would be the magnitude of the external force P?c). What is the acceleration of the block?
A block with a mass of m = 15 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 = 9.5 N. The second has a magnitude of F2 = 18 N and acts on the body at an angle θ = 18° measured from horizontal, as shown. 1) Please draw the correct free body diagram. 2)
A skier of mass 57 kg skis straight down a 11° slope at constant velocity. Draw a free-body diagram of the skier with the various external forces acting on her. Include the force of air resistance, which is directed opposite the velocity. (a) Find the value of the normal force.(b) The force of air resistance has a magnitude of 76 N. Find the frictional force on the skis.(c) What is the coefficient of kinetic friction?
A block of mass M2 = 8.45 kg on a frictionless plane inclined moving down at angleθ2 = 50° is connected by a cord over a massless, frictionless pulley to a second block of mass M1= 5.36 kg on a horizontal surface. The coefficient of kinetic friction between M1 and the surfaceis μk = 0.15, and the Force F = 11.3 N is acting on M1 at angle θ1 = 30° to the horizontal. (a)draw a free body diagram for each block in the system. (b) What is the acceleration for M1? (c)What is the tension in the cord? (d) After M2moves 10 cm, what is the velocity of M1? (Thesystem was initially at rest)