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4. A box of mass m is at the bottom of an inclined plane with angle to the horizontal, and height h. A person drags the box very slowly up the plane, by applying a force parallel to the plane. The coefficient of kinetic friction between the box and plane is . When the box reaches the top of the plane, how much work has the person done? (A) mgh (1+μ sin 0) (D) mgh (1+μ (B) mgh (1+μ cos) (E) mgh (1+μ cot 0) (C) mgh (1+μ tan 8)

4. A box of mass m is at the bottom of an inclined plane with angle to the horizontal, and height h. A person drags the box very slowly up the plane, by applying a force parallel to the plane. The coefficient of kinetic friction between the box and plane is . When the box reaches the top of the plane, how much work has the person done? (A) mgh (1+μ sin 0) (D) mgh (1+μ (B) mgh (1+μ cos) (E) mgh (1+μ cot 0) (C) mgh (1+μ tan 8)

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4. A box of mass m is at the bottom of an inclined plane with angle to the horizontal, and height h. 11₁ A person drags the box very slowly up the plane, by applying a force parallel to the plane. The coefficient of kinetic friction between the box and plane is . When the box reaches the top of the plane, how much work has the person done? (A) mgh (1+μ sin 8) (D) mgh (1+μ csc 0) SC (A) 5. Two blocks of mass m and a block of mass 3m are attached to a system of massless fixed pulleys and massless string, as shown. m (B) / (A) (B) mgh (1+μ cos 0) (E) mgh (1+μ cot 0) Assume all surfaces are frictionless. What is the acceleration of each mass m? (B) 2.2 cm 2F mg m 3F mg 3m 6. A ball at the end of a rope of length 0.5 m is swung in a horizontal circle, with a speed of 15 m/s. The other end of the rope is fixed in place. What is the height difference between the ends of the rope? (A) 1.1 cm (C) 3.8 cm 7. Two boxes are stacked side-by-side on top of a larger box as shown. m m m (D) m F 2mg (C) mgh (1+μ tan 0) (D) 4.9 cm All three boxes have mass m, the coefficient of static friction between the left box and the bottom box is #s, and all other surfaces are frictionless. A rightward force F is applied to the bottom box. What is the minimum value of μ, so that the upper boxes don't slide? (D) 205 2F 3mg (E) 7.5cm F 3mg
Transcribed Image Text:4. A box of mass m is at the bottom of an inclined plane with angle to the horizontal, and height h. 11₁ A person drags the box very slowly up the plane, by applying a force parallel to the plane. The coefficient of kinetic friction between the box and plane is . When the box reaches the top of the plane, how much work has the person done? (A) mgh (1+μ sin 8) (D) mgh (1+μ csc 0) SC (A) 5. Two blocks of mass m and a block of mass 3m are attached to a system of massless fixed pulleys and massless string, as shown. m (B) / (A) (B) mgh (1+μ cos 0) (E) mgh (1+μ cot 0) Assume all surfaces are frictionless. What is the acceleration of each mass m? (B) 2.2 cm 2F mg m 3F mg 3m 6. A ball at the end of a rope of length 0.5 m is swung in a horizontal circle, with a speed of 15 m/s. The other end of the rope is fixed in place. What is the height difference between the ends of the rope? (A) 1.1 cm (C) 3.8 cm 7. Two boxes are stacked side-by-side on top of a larger box as shown. m m m (D) m F 2mg (C) mgh (1+μ tan 0) (D) 4.9 cm All three boxes have mass m, the coefficient of static friction between the left box and the bottom box is #s, and all other surfaces are frictionless. A rightward force F is applied to the bottom box. What is the minimum value of μ, so that the upper boxes don't slide? (D) 205 2F 3mg (E) 7.5cm F 3mg
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