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Newton Laws (Extra problems for practice) 1) To determine the mass of a car, a student (with a friend at the wheel) pushes the car holding a bathroom scale between himself and the car and carefully maintains a constant reading of 400 N on the scale while the car accelerates on level ground. At the conclusion of the experiment his friend reports that the car accelerated from rest to 14.0 km/hr in 12.0 s. What was the mass of the car? A) 343 kg B) 1230 kg C) 3360 kg D) 3430 kg Answer: B 2) Three boxes rest side-by-side on a smooth, horizontal floor. Their masses are 5.0 kg, 3.0 kg, and 2.0 kg, with the 3.0-kg mass in the center. A force of 50 N pushes on the 5.0-kg mass, which pushes against the other two masses. What is the contact force between the 5.0-kg mass and the 3.0-kg mass? A) 0 N B) 10 N C) 25 N D) 40 N Answer: C 3) Three boxes rest side-by-side on a smooth, horizontal floor. Their masses are 5.0 kg, 3.0 kg, and 2.0 kg, with the 3.0-kg mass in the center. A force of 50 N pushes on the 2.0-kg mass, which pushes against the other two masses. What is the contact force between the 5.0-kg mass and the 3.0-kg mass? A) 0 N B) 10 N C) 25 N D) 40 N Answer: C 4) A locomotive is pulling three wagons along a level track with a force of 100,000 N. The wagon next to the locomotive has a mass of 80,000 kg, the next one, 50,000 kg, and the last one, 70,000 kg. Neglect friction. What is the force between the 80,000-kg and 50,000-kg wagons? A) 35,000 N B) 40,000 N C) 60,000 N D) 65,000 N Answer: C 5) A locomotive is pulling three wagons along a level track with a force of 100,000 N. The wagon next to the locomotive has a mass of 70,000 kg, the next one, 50,000 kg, and the last one, 80,000 kg. Neglect friction. What is the force between the 80,000-kg and 50,000-kg wagons? A) 35,000 N B) 40,000 N C) 60,000 N D) 65,000 N Answer: B 6) A 50.0-kg crate is being pulled along a horizontal, smooth surface. The pulling force is 10.0 N and is directed 20.0° above the horizontal. What is the acceleration of the crate? A) 0.0684 m/s2 B) 0.188 m/s2 C) 0.200 m/s2 D) 0.0728 m/s2 Answer: B 7) A 40.0-kg box is being pushed along a horizontal, smooth surface. The pushing force is 15.0 N directed at an Walker – Chapter 5 RTF – p. 1 angle of 15.0° below the horizontal. What is the acceleration of the crate? A) 0.158 m/s2 B) 0.362 m/s2 C) 0.466 m/s2 D) 0.375 m/s2 Answer: B 8) A 1000-kg barge is being towed by means of two horizontal cables. One cable is pulling with a force of 80.0 N in a direction 30.0° west of north. The second cable pulls in a direction 20.0° east of north. What should the magnitude of its pulling force be so that the barge will accelerate northward? A) 127 N B) 120 N C) 117 N D) 73.7 N Answer: C 9) An object is being acted upon by three forces and moves with a constant velocity. One force is 60.0 N along the x-axis, the second is 75.0 N along the y-axis. What is the magnitude of the third force? A) 135 N B) 15.0 N C) 48.0 N D) 96.0 N Answer: D 10) An object is being acted upon by three forces and moves with a constant velocity. One force is 60 N along the x-axis, the second is 75 N along the y-axis. What is the direction of the third force, measured counterclockwise from the x-axis? A) 128° B) 182° C) 213° D) 231° Answer: D 11) An object is being acted upon by three forces and moves with a constant velocity. One force is 60 N along the x-axis, the second is 75 N along a direction making a counterclockwise angle of 150° with the x-axis. What is the direction of the third force, measured counterclockwise from the x axis? A) 128° B) 182° C) 226° D) 262° Answer: D 12) An object is being acted upon by three forces and moves with a constant velocity. One force is 60 N along the x-axis, the second is 75 N along a direction making a clockwise angle of 150° with the x-axis. What is the direction of the third force, measured clockwise from the x-axis? A) 164° B) 146° C) 236° D) 262° Answer: D 13) A 400-kg box is lifted vertically upward with constant velocity by means of two cables pulling at 35.0° on either side of the vertical direction. What is the tension in each cable? A) 231 N B) 400 N C) 2390 N Walker – Chapter 5 RTF – p. 2 D) 3920 N Answer: C 14) A 10.0-kg picture is held in place by two wires, one hanging at 45.0° to the left of the vertical and the other at 45.0° to the right of the vertical. What is the tension in the second wire? A) 71.8 N B) 69.4 N C) 98.1 N D) 50.8 N Answer: B Walker – Chapter 5 RTF – p. 3