PHY 2048 Exam 3 Review Summer Private-Appointment, one-on-one tutoring at Broward Hall

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1 Summer 2017 Walk-In tutoring at Broward Hall Private-Appointment, one-on-one tutoring at Broward Hall Walk-In tutoring in LIT 215 Supplemental Instruction Video resources for Math and Science classes at UF Written exam reviews and copies of previous exams The teaching center is located in the basement of Broward Hall: You can learn more about the services offered by the teaching center by visiting

2 1. A track is mounted on a large wheel that is free to turn with negligible friction about a vertical axis as shown in the figure below. A toy train of mass m 0 is placed on the track, and, with the system initially at rest, the train s electrical power is turned on. The train reaches a speed of 0.15m/s with respect to the track. What is the angular speed of the wheel if its mass is 1.1m 0 and its radius is 0.43m? [Hint: treat the wheel as a hoop, and neglect the mass of the spokes and hub] A rad/s B rad/s C rad/s D rad/s E rad/s 2. A massless beam is pinned to the wall at point A, and is suspended from the ceiling by a steel cable. The cable segment DB is 10m long. At point C a cylinder of weight 80N hangs from a rope. Determine the tension in the cable holding up the beam. A. 13N B. 25N C. 80N D. 75N E. 40N CLAS Teaching Center 2

3 3. The previous problem was created with the understanding that the cable would not stretch. However, in the real world, cables stretch, and contractors care about that. This particular company needs to know how much the cable will stretch if the cross-sectional area of the cable is 10 cm 2 and the elastic modulus of the cable is N/m 2. The original length of the cable was 13m. Use the tension calculated in the previous problem to find the length that the cable stretches (the change in length). A. 0.4m B. 0.5m C. 0.8m D. 1m E. 1.2m 4. The figure below shows an iron ball suspended by thread of negligable mass from an upright cylinder that floats partially submerged in water. The cylinder has height 6.00 cm, face area (top and bottom) 12.0 cm 2, and a density of 0.30 g/cm cm of the cylinder s height is above the water surface. What is the radius of the iron ball? [Hint: The density of iron is 7.9 gm/cm 3.] A. 0.13cm B. 0.97cm C. 0.82cm D. 0.18cm E. 0.64cm CLAS Teaching Center 3

4 5. Water flows through a horizontal pipe, then out to the atmosphere as shown in the figure below. D1 and D2 are 3 and 5 centimeters respectively. The gauge pressure in hte left side of the pipe is Pa. What is the volume of water that flows through the pipe 10 minutes? A. 2.90m 3 B.28.5m 3 C.79.1m 3 D.30.5m 3 E. 26.2m 3 6. In the figure below, the pendulum consists of a uniform disk of radius r=0.1m and a 500g mass attached to a uniform rod with length L=0.5m and mass 0.27kg. Calculate the period of the oscillation. A. 0.5s B. 1s C. 1.5s D. 2s E. 2.5s CLAS Teaching Center 4

5 7. Two blocks (m = 1.8kg and M = 10kg) and a spring (k = 200N/m) are arranged on a horizontal, frictionless surface. The coefficient of static friction between the two blocks is You pull the blocks to a certain distance and release them. During the resulting simple harmonic motion, the smaller block is on the verge of slipping over the larger block. If the blocks are released at time t=0 and position +x m, what is the equation of the blocks motion? A. x(t) = 0.23 cos(4.1t)m B. x(t) = 0.23 cos(4.5t)m C. x(t) = cos(4.1t)m D. x(t) = cos(4.5t)m E. x(t) = cos(17t)m 8. Let M e and R e be the mass and radius of Earth respectively. An object with mass m is initially held in place at radial distance r = 3R e from the center of Earth. A force is applied to the object to move it to a radial distance of 4R e, where it is again held in place. The velocity of the object is constant during its trip. Calculate the work done by the applied force during the move by integrating the force magnitude. A. GmM e 12R e B. GmM e 6R e C. GmM e 2R e D. GmM e 3R e E. GmM e 18R e 9. What is the escape speed on a spherical asteroid whose radius is 500km and whose gravitational acceleration at the surface is 3.0m/s 2?, and how far from the surface will a particle go if it leaves the asteroid s surface with a radial speed of 1000m/s? A m/s, 800km B m/s, 550km C m/s, 600km D m/s, 750km E m/s, 650km CLAS Teaching Center 5

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