2. A 72 kg sled is pulled forward from rest by a snowmobile and accelerates at 2.0 m/s² [forward] for 5.0 s. The force of friction acting on the sled is 120 N [backwards). The total mass of the snowmobile and driver is 450 kg. The drag force acting on the snowmobile is 540 N [backwards). (a) Determine the tension in the rope. (b) Calculate the force exerted by the snowmobile that pushes the sled forward.

2. A 72 kg sled is pulled forward from rest by a snowmobile and accelerates at 2.0 m/s² [forward] for 5.0 s. The force of friction acting on the sled is 120 N [backwards). The total mass of the snowmobile and driver is 450 kg. The drag force acting on the snowmobile is 540 N [backwards). (a) Determine the tension in the rope. (b) Calculate the force exerted by the snowmobile that pushes the sled forward.

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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2. A 110 g hockey puck sent sliding over ice is stopped in 15 m by the frictional force on it from the ice. (a) If its initial speed is 6.0 m/s, what is the magnitude of the frictional force? (b) What is the coefficient of friction between the puck and the ice?
5. A box of mass m = 5kg is sliding with constant velocity down an incline that makes an angle of 0 = 30° with the horizontal. The coefficient of static friction is s = 0.75 and the coefficient of kinetic friction is μ = 0.5. What is the magnitude of the friction?
5. A 3.00 kg mass is initially at rest at the bottom of an incline of 35.0°. An applied force begins acting on the mass, pushing it up the incline with a constant force of 25.0 N, directed parallel to the incline. a) If the acceleration produced is 2.50 m/s? up the incline, what must the coefficient of kinetic friction be? b) If the applied force acts for 2.00 s, how far up the incline will the mass travel upon coming to rest? Measure this from where the applied force starts acting to where the mass comes to a stop.
37. A suitcase with mass 18 kg is pulled at a constant speed by a handle that makes an angle θ with the horizontal. The frictional force on the suitcase is 27 N and the force applied on the handle is 43 N. (a) Determine the value of the angle, θ. (b) Determine the normal force exerted on the suitcase.
2. One body with mass m₁ 1.0000 kg moves down on an inclined plane with an angle = 45° without friction. The acceleration along the inclined plane is a₁. A second body with mass m₂ = 1.0001 kg moves down on an identical inclined plane and the friction is described by the coefficient of kinetic friction Mk = 0.25. The acceleration of the second body along the inclined plane is a2. (a) Identify and draw all the forces. Draw the free-body diagrams for both bodies. (b) Determine the ratio between the two values of acceleration a2 / a₁. (You do not know the value for the gravitational acceleration g, the experiment takes place on an unknown planet). Show your work. A numerical value is required for (b). SHOW YOUR WORK means SHOW YOUR WORK starting with Newton's Second Law. Write Newton's Law in SYMBOLS for each body. m₁ = 1 kg m₂ = 1.0001 kg No friction 0 = 45° a₁ HK = 0.25 0 = 45° 22
5. When a force of magnitude 9.00 N and angle 55.0° above the horizontal is applied to an object, the object is observed to slide along a horizontal surface at a constant speed. The coefficient of kinetic friction between the object and surface is = 0.0550. (a) Draw a free-body diagram for this situation. Label all forces and relevant infor- mation. (b) What is the mass of the object? Take g = 9.81 m/s² and show all your work 55° L
5. A 76.0-kg person stands on a bathroom scale that is on the floor in an elevator. The scale reads 958 N. Which of the following situations could possibly cause this reading? (1) The elevator is moving upward while its speed is increasing. (2) The elevator is moving upward while its speed is decreasing. (3) The elevator is moving downward while its speed is increasing. (4) The elevator is moving downward while its speed is decreasing.
4. The 100-kg crate is subjected to the forces shown. If it is originally at rest, determine the distance it slides in order to attain a speed of v= 6 m/s. The coefficient of kinetic friction between the crate and the surface is Hk = 0.2. 500 N 400 N 30° 45°
4. Two blocks of mass m₁ = 5.0 kg and m₂ = 1.8 kg are tied together by a string of negligible mass. The coefficient of kinetic friction between the blocks and the horizontal surface is μ = 0.15. Mass m₁ is being pulled by a force of 21 N at an angle of 0 = 35° above the horizontal. (a) Draw a free-body diagram for each block. (b) Calculate the normal force acting on each block. (c) Find the magnitude and direction of acceleration of mass m₂. Hint: the accelera- tion is the same in magnitude and direction for both blocks. (d) Determine the magnitude of the tension in the string. Take g = 9.81 m/s2 and show all your work. -x m₂ m₂ 35⁰ F
5. Consider a box with a mass of 10 kg on a rough, horizontal surface. Again all forces and motion occur in the xy plane where the x axis represents the horizontal direction and the y axis represents the vertical direction. A force F is applied on the box at an angle of 0 measured counterclockwise with respect to the x axis. (a) Assume that the magnitude of F is 10 N, 0 = 45°, and the box is at rest. Draw the free-body diagram of the box. Show the numerical value of each force. (b) Let us assume that with the conditions given in (a), the box is just about to slip. Calculate the coefficient of static friction. (c) Now assume that the magnitude of F remains 10 N, but 0 = 30°. Will the box slip? Show your steps/Explain your answer.
7. A mass m₁ = 5.00 kg is connected by a light string that passes over a pulley of mass m3 = 8.0 kg to a mass m2 8.50 kg sliding on a frictionless inclined surface that makes an angle of 23° with the horizontal (see figure). The coefficient of kinetic friction between the mass m₁ and the horizontal surface is 0.19. There is no slippage between the string and the pulley. What is the magnitude of the acceleration of the system? (The moment of inertia of the pulley is 1/2Mr².) m/s² m₂ m3 = m₁