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AP Physics ‘B’ 1. Practice Test-Newton’s Laws A ball of mass m is suspended from two strings of unequal length as shown above. The tensions T 1 and T2 in the strings must satisfy which of the following relations? (A) Tl = T2 (B) T1 > T2 (C) T1 < T2 (D) Tl + T2 = mg (E) T1-T2 = mg Questions 2-3 A 2-kilogram block slides down a 30° incline as shown above with an acceleration of 2 meters per second squared. 2. Which of the following diagrams best represents the gravitational force W. the frictional force f, and the normal force N that act on the block? 3. The magnitude of the frictional force along the plane is most nearly (A) 2.5 N (B) 5 N (C) 6 N ( D) 10 N ( E) 16 N 4. When the frictionless system shown above is accelerated by an applied force of magnitude F the tension in the string between the blocks is (A) 2F (B) F 2 (C) 0.67 3 F 1 (D) 0.5 2 F 1 (E) 0.34 3 F 5. A push broom of mass m is pushed across a rough horizontal floor by a force of magnitude T directed at angle as shown above. The coefficient of friction between the broom and the floor is . The frictional force on the broom has magnitude (A) (mg + Tsin) (B) (mg-Tsin) (C) (mg+ Tcos) (D) (mg-Tcos) (E) mg 6. A block of mass 3m can move without friction on a horizontal table. This block is attached to another block of mass m by a cord that passes over a frictionless pulley, as shown above. If the masses of the cord and the pulley are negligible, what is the magnitude of the acceleration of the descending block? (A) Zero (B) g/4 (C) g/3 (D) 2g/3 (E) g 7. A block of weight W is pulled along a horizontal surface at constant speed v by a force F, which acts at an angle of with the horizontal, as shown above. The normal force exerted on the block by the surface has magnitude (A) W - F cos (B) W-Fsin (C) W (D) W + Fsin (E) W + Fcos Questions 8-9 A plane 5 meters in length is inclined at an angle of 37°, as shown above. A block of weight 20 newtons is placed at the top of the plane and allowed to slide down. 8. 9. The mass of the block is most nearly (A) 1.0 kg (B) 1.2 kg (C) 1.6 kg (D) 2.0 kg (E) 2.5 kg The magnitude of the normal force exerted on the block by the plane is most nearly (A) 10 N (B) 12 N (C) 16 N (D) 20 N (E) 33 N 10. A uniform rope of weight 50 newtons hangs from a hook as shown above. A box of weight 100 newtons hangs from the rope. What is the tension in the rope? (A) 50 N throughout the rope (B) 75 N throughout the rope (C) 100 N throughout the rope (D) 150 N throughout the rope (E) It varies from 100 N at the bottom of the rope to 150 N at the top. 11. When an object of weight W is suspended from the center of a massless string as shown above. the tension at any point in the string is (A) 2Wcos (B) ½Wcos (C) Wcos (D) W/(2cos) (E) W/cos 12. A 2.0–kg cart is given a shove up a long, smooth 30° incline. If the cart is traveling 8.0 m/s after the shove, how much time elapses until the cart returns to its initial position? A. 1.6 s B. 3.2 s C. 4.0 s D. 6.0 s E. 8.0 s 13. A car slides up a frictionless inclined plane. How does the normal force of the incline on the car compare with the weight of the car? A. The normal force must be equal to the car's weight. B. The normal force must be less than the car's weight. C.The normal force must be greater than the car's weight. D. The normal force must be zero. E. The normal force could have any value relative to the car's weight. 14. In the diagram above, a 1.0–kg cart and a 2.0–kg cart are connected by a rope. The spring scale reads 10 N. What is the tension in the rope connecting the carts? Neglect any friction. F. 30 N G. 10 N H. 6.7 N I. 5.0 N J. 3.3 N two 15. The velocity–time graph above represents the motion of a 5–kg box. The only force applied to this box is a person pushing. Assuming that the box is moving to the right, what is the magnitude and direction of the force applied by the person pushing? K. 2.0 N, right L. 2.0 N, left M. 0.4 N, right N. 0.4 N, left T. 2.5 N, left