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41. Legend says that Archimedes, in determining whether or not the king's crown was made of pure gold, measured its volume by the water displacement method. If the density of gold is 19.3 g/cm3, and the crown's mass is 600 g, what volume would be necessary to prove that it.
61. A fountain sends water to a height of 100 m. What must be the pressurization (above atmospheric) of the underground water system? (1 atm = 105 N/m2) A. 1 atm B. 4.2 atm C. 7.2 atm D. 9.8 atm 62. The Garfield Thomas water tunnel at Pennsylvania State University has a circular cross-section that.
56. Water (density = 1 ´ 103 kg/m3) flows at 10 m/s through a pipe with radius 0.030 m. The pipe goes up to the second floor of the building, 2.0 m higher, and the pressure remains unchanged. What is the radius of the pipe on the second floor? A. 0.046.
81. Two objects are in circular orbits of different radii around the Sun. Which object has the highest orbital speed? A. The one closest to the Sun. B. The one farthest from the Sun. C. Once in orbit around the Sun, all objects have the same orbital speed regardless of distance from the.
66. At an altitude of 4 times the radius of the earth, the acceleration due to gravity is A. g/2. B. g/4. C. g/16. D. not given. 67. Suppose the gravitational potential energy for a mass at an altitude of one Earth radius is PE1 and at two Earth radii is PE2. How do the.
46. An object consists of a rod (of length 3.0 m and negligible moment of inertia) to which four small 2.0-kg masses are attached, one at each end and one at each point on the rod 1.0 m from each end. (The masses are one meter apart.) The moment of.
36. The distance from the center of a Ferris wheel to a passenger seat is 12 m. What centripetal acceleration does a passenger experience when the wheel's angular speed is 0.50 rad/s? A. 16.9 m/s2 B. 9.0 m/s2 C. 3.0 m/s2 D. 6.0 m/s2 37. What centripetal force does an 80-kg passenger experience when seated.
46. What angular speed (in revolutions/second) is needed for a centrifuge to produce an acceleration of 1 000 g at a radius arm of 15.0 cm? A. 40.7 rev/s B. 75.4 rev/s C. 81.4 rev/s D. 151 rev/s 47. An airplane in a wide sweeping "outside" loop can create zero gees inside the aircraft cabin..
61. A satellite is in a circular orbit about the Earth at a distance of one Earth radius above the surface. What is the speed of the satellite? (The radius of the Earth is 6.4 ´ 106 m, and G = 6.67 ´ 10-11 N?m2/kg2.) A. 2 800 m/s B. 4 200.
41. A solid cylinder (I = MR2/2) has a string wrapped around it many times. When I release the cylinder, holding on to the string, the cylinder falls and spins as the string unwinds. What is the downward acceleration of the cylinder as it falls? A. 0 B. 4.9 m/s2 C. 6.5 m/s2 D..
21. A uniform beam of length 3.00 m and weight 100 N is mounted on an axle at one end perpendicular to the length of the beam. A rope is attached to the end of the beam at the other end from the axle, and the beam is lifted by.
26. A 15 000-N car on a hydraulic lift rests on a cylinder with a piston of radius 0.20 m. If a connecting cylinder with a piston of 0.040-m radius is driven by compressed air, what force must be applied to this smaller piston in order to lift the car? A..
51. You are facing east looking at the clock on the wall. You see the second hand moving clockwise (of course). In what direction is the angular velocity vector for this second hand? A. east B. west C. north or south, but not east or west D. For half the rotation it is east,.
16. Suppose a wheel is initially rotating at 10.0 rad/s while undergoing constant angular acceleration reaching a speed of 30.0 rad/s after 20.0 seconds have elapsed. How long after the initial time has the wheel undergone half of the angular displacement that it will have gone through during the entire.
56. If a planet has 3 times the radius of the Earth, but has the same density as the Earth, what is the gravitational acceleration at the surface of the planet? (g = 9.8 m/s2) A. 29.4 m/s2 B. 88.2 m/s2 C. 265 m/s2 D. 3.27 m/s2 57. If a planet has a radius 20%.
6. A bucket of water with total mass 23 kg is attached to a rope, which in turn, is wound around a 0.050-m radius cylinder at the top of a well. A crank with a turning radius of 0.25 m is attached to the end of the cylinder. What minimum.
31. The water behind Grand Coulee Dam is 1 200 m wide and 150 m deep. Find the hydrostatic force on the back of the dam. (Hint: the total force = average pressure ´ area) A. 5.2 ´ 109 N B. 8.8 ´ 1010 N C. 13.2 ´ 1010 N D. 18.0 ´ 1010.
56. A cylinder with its mass concentrated toward the center has a moment of inertia of 0.1 MR2. If this cylinder is rolling without slipping along a level surface with a linear speed v, what is the ratio of its rotational kinetic energy to its linear kinetic energy? A. 1/l0 B. 1/5 C..
16. When water freezes, it expands about nine percent. What would be the pressure increase inside your automobile engine block if the water in there froze? (The bulk modulus of ice is 2.0 ´ 109 Pa, and 1 atm = 1.0 ´ 105 Pa.) A. 18 atm B. 270 atm C. 1 080.
46. A heavily loaded boat is floating in a pond. The boat sinks because of a leak. What happens to the surface level of the pond? A. It stays the same. B. It goes up. C. It goes down. D. More information is needed to reach a conclusion. 47. A heavily loaded boat is floating.
21. The end of the cutting cord on a gas-powered weed cutter is 0.15 m in length. If the motor rotates at the rate of 20 rev/s, what is the tangential speed of the end of the cord? A. 628 m/s B. 25 m/s C. 19 m/s D. 63 m/s 22. A bucket in an.
26. A 4.0-kg mass is placed at (3.0, 4.0) m, and a 6.0-kg mass is placed at (3.0, -4.0) m. What is the moment of inertia of this system of masses about the y-axis? A. 160 kg?m2 B. 90 kg?m2 C. 250 kg?m2 D. 180 kg?m2 27. A 4.0-kg mass is placed at (3.0, 4.0).
51. Think of Bernoulli's equation as it pertains to an ideal fluid flowing through a horizontal pipe. Imagine that you take measurements along the pipe in the direction of fluid flow. What happens to the sum of the pressure and energy per unit volume? A. It increases as the pipe diameter.
21. The maximum pressure that a certain type of drainpipe can safely withstand from the water inside is 10 atmospheres above the outside pressure. The pipe is to run from the roof to a storm drain connection in the basement of the building along a corner of an inside wall..
66. A Venturi tube may be used as the inlet to an automobile carburetor. If the inlet pipe of 2.0 cm diameter narrows to 1.0 cm diameter, what is the pressure drop in the constricted section for airflow of 3.0 m/s in the 2-cm section? (Assume air density is 1.25.
16. An 800-N billboard worker stands on a 4.0-m scaffold weighing 500 N and supported by vertical ropes at each end. How far would the worker stand from one of the supporting ropes to produce a tension of 550 N in that rope? A. 1.4 m B. 2.0 m C. 2.5 m D. 2.7.
11. Tasha has mass 20 kg and wants to use a 4.0-m board of mass 10 kg as a seesaw. Her friends are busy, so Tasha seesaws by herself by putting the support at the system's center of gravity when she sits on one end of the board. How far.
11. How large a force is necessary to stretch a 2.0-mm-diameter steel wire (Y = 2.0 ´ 1011 N/m2) by 1.0%? A. 3.1 ´ 103 N B. 6.3 ´ 103 N C. 9.4 ´ 103 N D. 1.3 ´ 104 N 12. The standard kilogram is a platinum-iridium cylinder 39.0 mm in height and 39.0.
1. A vault is opened by applying a force of 300 N perpendicular to the plane of the door, 0.80 m from the hinges. Find the torque due to this force about an axis through the hinges. A. 120 N?m B. 240 N?m C. 300 N?m D. 360 N?m 2. A 3.0-m rod is pivoted.
51. A solid sphere of mass 4.0 kg and radius 0.12 m is at rest at the top of a ramp inclined 15?. It rolls to the bottom without slipping. The upper end of the ramp is 1.2 m higher than the lower end. Find the sphere's total kinetic energy.
36. What volume of water is displaced by a submerged 2.0-kg cylinder made of solid aluminum? (aluminum density = 2.7 ´ 103 kg/m3 and water density = 1.0 ´ 103 kg/m3) A. 7.4 ´ l0-4 m3 B. 1.4 ´ 103 m3 C. 9.9 ´ 103 m3 D. 6.0 ´ 102 m3 37. A ping-pong ball.
81. Which of the following characterizes the net force on a particle falling through a fluid at its terminal speed? A. It is at a maximum. B. It is upwards. C. It is downwards. D. It is zero. 82. A container is filled with water and the pressure at the container bottom is P. If.
81. An object of mass m and moment of inertia I has rotational kinetic energy KR. Its angular momentum is: A. 0.5 I/m. B. (2 IKR)1/2. C. (2 mKR)1/2. D. not given above. 82. Two spheres, one with the center core up to r = R/2 hollow and the other solid, have the same mass.
26. Calculate the linear speed due to the Earth's rotation for a person at the equator of the Earth. The radius of the Earth is 6.40 ´ 106 m. A. 74.0 m/s B. 233 m/s C. 465 m/s D. 73.0 m/s 27. Calculate the linear speed due to the Earth's rotation for a person at.
31. A disk has a moment of inertia of 3.0 ´ 10-4 kg?m2 and rotates with an angular speed of 3.5 rad/sec. What net torque must be applied to bring it to rest within 3 s? A. 4.5 ´ 10-3 N?m B. 7.5 ´ 10-4 N?m C. 3.5 ´ 10-4 N?m D. 5.0 ´.
6. A ceiling fan is turned on and reaches an angular speed of 120 rev/min in 20 s. It is then turned off and coasts to a stop in an additional 40 s. The ratio of the average angular acceleration for the first 20 s to that for the last.
76. In order to overcome a surface tension of a fluid, a force of 1.32 ´ 10-2 N is required to lift a wire ring of circumference 12.0 cm. What is the surface tension of the fluid? A. 0.055 N/m B. 0.11 N/m C. 0.035 N/m D. 0.018 N/m 77. A pipe of diameter three.
76. For any object orbiting the Sun, Kepler's Law may be written T2 = kr3. If T is measured in years and r in units of the Earth's distance from the Sun, then k = 1. What, therefore, is the time (in years) for Mars to orbit the Sun if.
71. Water is being sprayed from a nozzle at the end of a garden hose of diameter 2.0 cm. If the nozzle has an opening of diameter 0.50 cm, and if the water leaves the nozzle at a speed of 10 m/s, what is the speed of the water inside.
61. A cylinder (I = MR2/2) is rolling along the ground at 7.0 m/s. It comes to a hill and starts going up. Assuming no losses to friction, how high does it get before it stops? A. 1.2 m B. 3.7 m C. 4.2 m D. 5.9 m 62. A meter stick is hinged at.
31. A point on the rim of a 0.25-m-radius fan blade has centripetal acceleration of 0.20 m/s2. Find the centripetal acceleration of a point 0.05 m from the center of the same wheel. A. 0.01 m/s2 B. 0.02 m/s2 C. 0.04 m/s2 D. 0.08 m/s2 32. A point on the rim of a 0.25-m-radius rotating.
11. Starting from rest, a wheel undergoes constant angular acceleration for a period of time T. At what time after the start of rotation does the wheel reach an angular speed equal to its average angular speed for this interval? A. 0.25 T B. 0.50 T C. 0.67 T D. 0.71 T 12. Starting from.
76. The Earth's gravity exerts no torque on a satellite orbiting the Earth in an elliptical orbit. Compare the motion of the satellite at the point nearest the Earth (perigee) to the motion at the point farthest from the Earth (apogee). At these two points: A. the tangential velocities are the.
71. An asteroid in orbit about the sun has a linear speed of 4 km/s when at a distance of closest approach d from the sun. What is its linear speed when it is at its greatest distance from the sun, a distance 2 d? A. 1 km/s B. 2 km/s C. 8.
1. Which state of matter is associated with the very highest of temperatures? A. liquid B. plasma C. gas D. solid 2. A copper wire of length 2.0 m, cross sectional area 7.1 ´ 10-6 m2 and Young's modulus 11 ´ 1010 N/m2 has a 200-kg load hung on it. What is its increase in.
41. At what angle (relative to the horizontal) should a curve 52 m in radius be banked if no friction is required to prevent the car from slipping when traveling at 12 m/s? (g = 9.8 m/s2) A. 28? B. 32? C. 16? D. 10? 42. At what speed will a car round a 52-m-radius.
36. A baseball pitcher loosens up his pitching arm. He tosses a 0.15-kg ball using only the rotation of his forearm, 0.32 m in length, to accelerate the ball. If the ball starts at rest and is released with a speed of 12 m/s in a time of 0.40 s,.
6. The bulk modulus of a material, as a meaningful physical property, is applicable to which of the following? A. only solids B. only liquids C. only gases D. solids, liquids and gases 7. A uniform pressure of 7.0 ´ 105 N/m2 is applied to all six sides of a copper cube. What is the.
66. Consider the use of the terms "rotation" and "revolution". In physics: A. the words are used interchangeably. B. the words are used interchangeably but "rotation" is the preferred word. C. the words have different meaning. D. "rotation" is the correct word and "revolution" should not be used. 67. A solid disk of radius R.
71. An ice skater spins at 2.5 rev/s when his arms are extended. He draws his arms in and spins at 6.0 rev/s. By what factor does his moment of inertia change in the process? A. 2.4 B. 1.0 C. 0.42 D. 0.12 72. A figure skater on ice with arms extended, spins at a.
