Summer Physics 41 Pretest. Shorty Shorts (2 pts ea): Circle the best answer. Show work if a calculation is required.

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1 Summer Physics 41 Pretest Name: Shorty Shorts (2 pts ea): Circle the best answer. Show work if a calculation is required. 1. An object hangs in equilibrium suspended by two identical ropes. Which rope has the greatest tension? A. Same B. Rope 1 C. Rope 2 2. The area under the graph to the right gives: a. energy b. work c. impulse d. force 3. The area under the graph to the left gives: a. energy b. work c. impulse d. force 4. A beam with a pivot on its left end is suspended from a rope. In which direction is the force of the pivot on the beam? 5. All the masses are the same, radius the same. Which has the greatest rotational inertia? (circle) A B C D 6. A wheel rolls without slipping. Which is the correct velocity vector for the point P on the disk? A B C D 7. A polar bear starts at the North Pole. It travels 1.0 km south, then 1.0 km east, and then 1.0 km north to return to its starting point. This trip takes 45 min. What was the bear's average speed? A) 0.00 km/h B) km/h C) 4.0 km/h D) 5.3 km/h 8. What is the proper banking angle for an Olympic bobsled to negotiate a 100-m radius turn at 35 m/s without skidding? A) 31 B) 41 C) 51 D) A boat can travel 8.00 m/s relative to the river water. If the river water flows at a uniform rate of 5.00m/s due east, what heading should the boat take across the river to travel straight across? a b c d e A 2.0-kg particle has an initial velocity of (5i 4j) m/s. Some time later, its velocity is (7i + 3j) m/s. How much work was done by the resultant force during this time interval, assuming no energy is lost in the process? a. 17 J b. 49 J c. 19 J d. 53 J e. 27 J

2 Multiple Choice (10 pts ea): Show work for any credit. Box final answers. Circle the BEST answer. 1. A particle located at the point (3,6) m when a force F = (-2 i + j ) N acts on it. Find the torque about the origin. Draw the situation clearly labeling F, r and the lever arm. a. (9 k )N m b. (15 k )N m c. ( 19 k )N m d. ( 15 k )N m e. ( 9 k )N m 2. A spherical shell of mass m = 1.0kg and radius r = 2.0 cm is released from rest at the top of an inclined planet at a height h = 1.00m. The ball rolls down the incline without slipping. What is velocity of the center of mass of the sphere at the bottom of the incline? Derive your solution like we did in lab. a. 2.9 m/s b. 3.4 m/s c. 3.7 m/s d. 4.4 m/s e. 4.9 m/s

3 3. A 1.5-kg block sliding on a rough horizontal surface is attached to one end of a horizontal spring (k = 200 N/m) which has its other end fixed. If this system is displaced 20 cm horizontally from the equilibrium position and released from rest, the block first reaches the equilibrium position with a speed of 2.0 m/s. What is the coefficient of kinetic friction between the block and the horizontal surface on which it slides? a b c d e A 0.60-kg object is suspended from the ceiling at the end of a 2.0-m string. When pulled to the side and released, it has a speed of 4.0 m/s at the lowest point of its path. What maximum angle does the string make with the vertical as the object swings up? a. 61 b. 54 c. 69 d. 77 e. 47

4 5. The figure shows a block of mass m =1.0kg resting on a 20 slope that has coefficient of friction μ k = 0.45 with the surface. It is connected via a massless string over a frictionless pulley (mass 0.10 kg) to a hanging block of mass 2.0 kg. What is the acceleration of the system? Model the pulley as a disk. Do not ignore rotational inertia. A) 2.3 m/s 2 B) 2.9 m/s 2 C) 4.0 m/s 2 D) 5.2 m/s 2 E) 6.8 m/s 2 6. A uniform rod (length = 2.4 m) of negligible mass has a 1.0-kg point mass attached to one end and a 2.0-kg point mass attached to the other end. The rod is mounted to rotate freely about a horizontal axis that is perpendicular to the rod and that passes through a point 1.0 m from the 2.0-kg mass. The rod is released from rest when it is horizontal. What is the angular velocity of the rod at the instant the 2.0-kg mass passes through its low point? a. 1.7 rad/s b. 2.2 rad/s c. 2.0 rad/s d. 1.5 rad/s e. 3.1 rad/s

5 7. A disk of mass 50.0 g and radius 50.0 cm slides along an air table at a speed of 1.50 m/s as shown. It makes a glancing collision with a second disk of radius 80.0 cm and mass 150 g (initially at rest) such that their rims just touch. What is the angular momentum (in kg m2/s) of the system after they collide? Show all your work including drawing the situation and labeling everything. a b c d e Find the orbital speed of an ice cube in the rings of Saturn, if the mass of Saturn is kg and the rings have an average radius of 100,000 km. Derive whatever you use to solve this. A) 1.95 km/s B) 27.5 km/s C) 13.8 km/s D) 19.5 km/s

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