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front 1 A puck moves on a horizontal air table. It is attached to a string that passes through a hole in the center of the table. As the puck rotates about the hole, the string is pulled downward very slowly and shortens the radius of rotation, so the puck gradually spirals in towards the center. By what factor will the puck's angular speed have changed when the string's length has decreased to one-half of its original length? A) 2 B) 4 C) D) 1 E) 1/2 | back 1 B) 4 |

front 2 Initially, a small 2.0-kg rock is whirling at the end of a very thin string in a circular path of radius 0.75 m on a horizontal frictionless surface, as shown in the figure. The initial tangential speed of the rock was 5.0 m/s. The string has been slowly winding around a vertical rod, and a few seconds later the length of the string has shortened to 0.25 m. What is the instantaneous speed of the mass at the moment the string reaches a length of 0.25 m? A) 3.9 m/s B) 9.3 m/s C) 15 m/s D) 225 m/s | back 2 C) 15 m/s |

front 3 A 5.0-m radius playground merry-go-round with a moment of inertia of 2000 kg ∙ m2 is rotating freely with an angular speed of 1.0 rad/s. Two people, each of mass 60 kg, are standing right outside the edge of the merry-go-round and suddenly step onto the edge with negligible speed relative to the ground. What is the angular speed of the merry-go-round right after the two people have stepped on? A) 0.20 rad/s B) 0.40 rad/s C) 0.60 rad/s D) 0.80 rad/s E) 0.67 rad/s | back 3 B) 0.40 rad/s |

front 4 A 40.0-kg child running at 3.00 m/s suddenly jumps onto a stationary playground merry-go-round at a distance 1.50 m from the axis of rotation of the merry-go-round. The child is traveling tangential to the edge of the merry-go-round just before jumping on. The moment of inertia about its axis of rotation is 600 kg ∙ m2 and very little friction at its rotation axis. What is the angular speed of the merry-go-round just after the child has jumped onto it? A) 0.788 rad/s B) 0.261 rad/s C) 6.28 rev/s D) 2.00 rad/s E) 3.14 rev/s | back 4 B) 0.261 rad/s |

front 5 A light-weight potter's wheel, having a moment of inertia of is spinning freely at 40.0 rpm. The potter drops a small but dense lump of clay onto the wheel, where it sticks a distance 1.2 m from the rotational axis. If the subsequent angular speed of the wheel and clay is 32 rpm, what is the mass of the clay? A) 4.2 kg B) 2.8 kg C) 3.7 kg D) 4.6 kg | back 5 A) 4.2 kg |

front 6 A solid wood door, 90.0 cm wide by 2.00 m tall has a mass of 35.0 kg. It is open and at rest. A small 500-g ball is thrown perpendicular to the door with a speed of 20.0 m/s and hits the door 60.0 cm from the hinged side. The ball rebounds with a speed of 16.0 m/s along the same line. What is the angular speed of the door just after the collision with the ball? A) 0.127 rad/s B) 0.925 rad/s C) 1.14 rad/s D) 2.28 rad/s E) 4.57 rad/s | back 6 C) 1.14 rad/s |

front 7 A figure skater rotating at 5.00 rad/s with arms extended has a moment of inertia of 2.25 kg ∙ m2. If he pulls in his arms so his moment of inertia decreases to 1.80 kg ∙ m2, what will be his new angular speed? A) 2.25 rad/s B) 4.60 rad/s C) 6.25 rad/s D) 0.81 rad/s | back 7 C) 6.25 rad/s |

front 8 An ice skater has a moment of inertia of 5.0 kg ∙ m2 when her arms are outstretched, and at this time she is spinning at 3.0 rev/s. If she pulls in her arms and decreases her moment of inertia to 2.0 kg ∙ m2, how fast will she be spinning? A) 2.0 rev/s B) 3.3 rev/s C) 7.5 rev/s D) 10 rev/s | back 8 D) 10 rev/s |

front 9 A uniform 135-g meter stick rotates about an axis perpendicular to the stick passing through its center with an angular speed of 3.50 rad/s. What is the magnitude of the angular momentum of the stick? A) 0.0394 kg ∙ m2/s B) 0.473 kg ∙ m2/s C) 0.0739 kg ∙ m2/s D) 0.158 kg ∙ m2/s E) 0.0236 kg ∙ m2/s | back 9 A) 0.0394 kg ∙ m2/s |

front 10 A uniform, solid, cylindrical flywheel of radius 1.4 m and mass 15 kg rotates at What is the magnitude of the flywheel's angular momentum? A) 40 kg ∙ m2/s B) 20 kg ∙ m2/s C) 80 kg ∙ m2/s D) 60 kg ∙ m2/s | back 10 A) 40 kg ∙ m2/s |

front 11 Three solid, uniform, cylindrical flywheels, each of mass 65.0 kg and radius 1.47 m, rotate independently around a common axis through their centers. Two of the flywheels rotate in one direction at 8.94 rad/s, but the other one rotates in the opposite direction at 3.42 rad/s. Calculate the magnitude of the net angular momentum of the system. A) 1020 kg ∙ m2/s B) 1500 kg ∙ m2/s C) 975 kg ∙ m2/s D) 940 kg ∙ m2/s | back 11 A) 1020 kg ∙ m2/s |

front 12 In a certain cyclotron, a proton of mass 1.67 × 10-27 kg moves in a circle of diameter 1.6 m with an angular speed of 2.0 × 106 rad/s. What is the angular momentum of the proton? A) 1.3 × 10-21kg ∙ m2/s B) 1.8 × 10-21kg ∙ m2/s C) 2.1 × 10-21kg ∙ m2/s D) 3.2 × 10-21kg ∙ m2/s | back 12 C) 2.1 × 10-21kg ∙ m2/s |

front 13 Two dogs, Rover and Fido, run on a level frictionless surface. Rover runs eastward with a momentum of 24 kg . m/s, and Fido runs northward with momentum 10 kg . m/s. They make a sudden perfectly inelastic collision. What is the magnitude of their combined momentum after the collision? A) 14 kg . m/s B) 26 kg . m/s C) 34 kg . m/s | back 13 B) 26 kg . m/s |

front 14 A 1500-kg car traveling at 90 km/h toward the east suddenly collides with a 3000-kg car traveling at 60 km/h toward the south. The two cars stick together after the collision. What is the direction of motion of the cars after collision? A) 36.9° S of E B) 36.9° E of S C) 53.1° S of E D) 53.1° E of S | back 14 C) 53.1° S of E |

front 15 A 1500-kg car traveling at 90 km/h toward the east suddenly collides with a 3000-kg car traveling at 60 km/h toward the south. The two cars stick together after the collision. What is the speed of the cars after collision? A) 8.3 m/s B) 14 m/s C) 17 m/s D) 22 m/s | back 15 B) 14 m/s |

front 16 A 900-kg car traveling 30.0° south of east at 12.0 m/s suddenly collides with a 750-kg car traveling north at 17.0 m/s. The cars stick together after colliding. What is the speed of the wreckage just after the collision? A) 7.21 m/s B) 12.2 m/s C) 20.4 m/s D) 25.0 m/s E) 17.3 m/s | back 16 A) 7.21 m/s |

front 17 A 900-kg car traveling east at 15.0 m/s suddenly collides with a 750-kg car traveling north at 20.0 m/s. The cars stick together after the collision. In what direction does the wreckage move just after the collision? A) 36.9° N of E B) 42.0° N of E C) 45.0° N of E D) 53.1° N of E E) 48.0° N of E | back 17 E) 48.0° N of E |

front 18 A 900-kg car traveling east at 15.0 m/s suddenly collides with a 750-kg car traveling north at 20.0 m/s. The cars stick together after the collision. What is the speed of the wreckage just after the collision? A) 6.10 m/s B) 12.2 m/s C) 25.0 m/s D) 35.0 m/s E) 17.3 m/s | back 18 B) 12.2 m/s |

front 19 A puck with a mass A) 30° B) 60° C) 90° D) 120° E) 150° | back 19 C) 90° |

front 20 A car heading north suddenly collides at an intersection with a truck of the same mass heading east. If they lock together and travel at at 15° north of east just after the collision, how fast was the car initially traveling? A) 14 m/s B) 7 m/s C) 28 m/s D) 11 m/s | back 20 A) 14 m/s |

front 21 Two vehicles approach a right angle intersection and then suddenly collide. After the collision, they become entangled. If their mass ratios were 1:4 and their respective speeds as they approached the intersection were both 13 m/s, find the magnitude and direction of the final velocity of the wreck. A) 11 m/s at 14° with respect to the original direction of the lighter car B) 16 m/s at 76° with respect to the original direction of the lighter car C) 11 m/s at 76° with respect to the original direction of the lighter car D) 16 m/s at 14° with respect to the original direction of the lighter car | back 21 C) 11 m/s at 76° with respect to the original direction of the lighter car |

front 22 A 2.0-kg mass moving at 5.0 m/s suddenly collides head-on with a
3.0-kg mass at rest. If the collision is A) 10 m/s B) 2.5 m/s C) 2.0 m/s D) 0 m/s, since the collision is inelastic | back 22 C) 2.0 m/s |

front 23 A 1000-kg whale swims horizontally to the right at a speed of 6.0 m/s. It suddenly collides directly with a stationary seal of mass 200 kg. The seal grabs onto the whale and holds fast. What is the speed of these two sea creatures just after their collision? You can neglect any drag effects of the water during the collision. A) 0.00 m/s B) 3.0 m/s C) 4.0 m/s D) 5.0 m/s E) 6.0 m/s | back 23 D) 5.0 m/s |

front 24 A fire hose is turned on the door of a burning building in order to knock the door down. This requires a force of 1000 N. If the hose delivers 40 kg of water per second, what is the minimum velocity of the stream needed to knock down the door, assuming the water doesn't bounce back? A) 15 m/s B) 20 m/s C) 25 m/s D) 30 m/s | back 24 C) 25 m/s |

front 25 A 1000-kg whale swims horizontally to the right at a speed of 6.0 m/s. It suddenly collides directly with a stationary seal of mass 200 kg. The seal grabs onto the whale and holds fast. What is the momentum of these two sea creatures just after their collision? You can neglect any drag effects of the water during the collision. A) 0.00 kg ∙ m/s B) 1200 kg ∙ m/s C) 2000 kg ∙ m/s D) 7200 kg ∙ m/s E) 6000 kg ∙ m/s | back 25 E) 6000 kg ∙ m/s |

front 26 A 1200-kg car moving at suddenly collides with a stationary car of mass If the two vehicles lock together, what is their combined velocity immediately after the collision? A) 6.9 m/s B) 8.6 m/s C) 12.1 m/s D) 5.5 m/s | back 26 A) 6.9 m/s |

front 27 A block of mass A) 202 N B) 192 N C) 182 N D) 0 N E) 0 N | back 27 A) 202 N |

front 28 A batter hits a foul ball. The 0.14-kg baseball that was approaching him at 40 m/s leaves the bat at 30 m/s in a direction perpendicular to the line between the batter and the pitcher. What is the magnitude of the impulse delivered to the baseball? A) 9.8 N ∙ s B) 1.4 N ∙ s C) 3.5 N ∙ s D) 5.6 N ∙ s E) 7.0 N ∙ s | back 28 E) 7.0 N ∙ s |

front 29 A 0.140-kg baseball is dropped from rest. It has a speed of 1.20 m/s just before it hits the ground, and it rebounds with an upward speed of 1.00 m/s. The ball is in contact with the ground for 0.0140 s. What is the average force exerted by the ground on the ball during the time of contact? A) 2.00 N upwards B) 2.00 N downwards C) 22.0 N upwards D) 22.0 N downwards E) 0.00 N | back 29 C) 22.0 N upwards |

front 30 A very small 51-g steel ball is released from rest and falls vertically onto a steel plate. The ball strikes the plate and is in contact with it for 0.50 ms. The ball rebounds elastically and returns to its original height. The total time interval for a round trip is 3.00 s. What is the magnitude of the average force exerted on the ball by the plate during contact with the plate? A) 3000 N B) 1500 N C) 2490 N D) 2000 N E) 3500 N | back 30 A) 3000 N |

front 31 A block of mass A) 32 N ∙ s B) 14 N ∙ s C) 41 N ∙ s D) 57 N ∙ s E) 73 N ∙ s | back 31 A) 32 N ∙ s |

front 32 A steady horizontal force lasting for 2.1 s gives a 1.25 kg object an acceleration of 3.2 m/s2 on a frictionless table. What impulse does this force give to the object? A) 26 kg ∙ m/s B) 11 kg ∙ m/s C) 8.4 kg ∙ m/s D) 2.6 kg ∙ m/s | back 32 C) 8.4 kg ∙ m/s |

front 33 A 0.24 kg blob of clay is thrown at a wall with an initial horizontal velocity of If the clay comes to a stop in what is the average horizontal force on the clay due to the wall? A) 42 N B) 26 N C) 35 N D) 51 N | back 33 A) 42 N |

front 34 A golf ball of mass 0.050 kg is at rest on the tee. Just after being struck, it has a velocity of 102 m/s. If the club and ball were in contact for what is the average force exerted on the ball by the club? A) 6.3 kN B) 7.1 kN C) 5.5 kN D) 4.9 kN | back 34 A) 6.3 kN |

front 35 A 0.140 kg baseball is thrown horizontally with a velocity of 28.9 m/s. It is struck with a constant horizontal force that lasts for 1.85 ms, which results in a velocity of 37.0 m/s in the opposite direction. What was the magnitude of the horizontal force? A) 0.613 kN B) 2.19 kN C) 2.80 kN D) 4.99 kN | back 35 D) 4.99 kN |

front 36 A girl of mass 55 kg throws a ball of mass 0.80 kg against a wall. The ball strikes the wall horizontally with a speed of and it bounces back with this same speed. The ball is in contact with the wall What is the magnitude of the average force exerted on the wall by the ball? A) 800 N B) 400 N C) 55,000 N D) 27,500 N E) 13,750 N | back 36 A) 800 N |

front 37 Calculate the impulse due to a force of that lasts for A) 6.3 kg∙ m/s B) 5.0 kg∙ m/s C) 5.7 kg∙ m/s D) 6.9 kg∙ m/s | back 37 A) 6.3 kg∙ m/s |

front 38 A golf club exerts an average horizontal force of 1000 N on a 0.045-kg golf ball that is initially at rest on the tee. The club is in contact with the ball for 1.8 ms. What is the speed of the golf ball just as it leaves the tee? A) 30 m/s B) 35 m/s C) 40 m/s D) 45 m/s E) 50 m/s | back 38 C) 40 m/s |

front 39 A super dart of mass 20 g, traveling at 350 m/s, strikes a steel plate at an angle of 30° with the plane of the plate, as shown in the figure. It bounces off the plate at the same angle but at a speed of 320 m/s. What is the magnitude of the impulse that the plate gives to the bullet? A) 0.52 N ∙ s B) 4.3 N ∙ s C) 300 N ∙ s D) 6.7 N ∙ s E) 0.30 N ∙ s | back 39 D) 6.7 N ∙ s |

front 40 A forklift pushes a 100-kg crate, starting from rest, with a
horizontal force of magnitude A) 25 cm/s B) 0.00 cm/s C) 75 cm/s D) -25 cm/s E) -75 cm/s | back 40 E) -75 cm/s |

front 41 A 0.140-kg baseball is thrown with a velocity of It is struck by the bat with an average force of 5000 N, which results in a velocity of 37.0 m/s in the opposite direction from the original velocity. How long were the bat and ball in contact? A) 1.79 B) 1.28 C) 3.07 D) 4.30 | back 41 A) 1.79 |

front 42 The graph in the figure shows the A) -100 kg ∙ m/s B) -25 kg ∙ m/s C) 75 kg ∙ m/s D) -75 kg ∙ m/s E) 25 kg ∙ m/s | back 42 D) -75 kg ∙ m/s |

front 43 A 14-cm diameter champagne bottle rests on its side on top of a frictionless horizontal table. Suddenly, the cork pops and the bottle slides backward, covering a distance of in If the mass of the bottle is 500 times the mass of the cork, find the distance from the original position that the cork will land on the table. Neglect air resistance and assume that the cork is very small compared to the bottle. A) 3000 cm B) 60 m C) 85 m D) 8.5 cm | back 43 A) 3000 cm |

front 44 Astronaut Jennifer's lifeline to her spaceship comes loose and she finds herself stranded, "floating" 100 m from the mothership. She suddenly throws her 2.00-kg wrench at 20 m/s in a direction away from the ship. If she and her spacesuit have a combined mass of 200 kg, how long does it take her to coast back to her spaceship? A) 1000 s B) 750 s C) 500 s D) 250 s E) 2.50 min | back 44 C) 500 s |

front 45 Two astronauts, of masses 60 kg and 80 kg, are initially right next to each other and at rest in outer space. They suddenly push each other apart. How far has the heavier astronaut moved when the lighter astronaut has moved 12 m? A) 16 m B) 9.0 m C) 21 m D) 7.0 m E) 12 m | back 45 B) 9.0 m |

front 46 Two astronauts, of masses 60 kg and 80 kg, are initially right next to each other and at rest in outer space. They suddenly push each other apart. What is their separation after the heavier astronaut has moved 12 m? A) 9.0 m B) 16 m C) 21 m D) 24 m E) 28 m | back 46 E) 28 m |

front 47 In a police ballistics test, a 10.0-g bullet moving at 300 m/s is fired into a 1.00-kg block at rest. The bullet goes through the block almost instantaneously and emerges with 50.0% of its original speed. What is the speed of the block just after the bullet emerges? A) 1.50 m/s B) 2.97 m/s C) 3.00 m/s D) 273 m/s | back 47 A) 1.50 m/s |

front 48 A dinner plate falls vertically to the floor and breaks up into three
pieces, which slide horizontally along the floor. Immediately after
the impact, a 320-g piece moves along the + A) 216.9° from the + B) 219.8° from the + C) 36.9° from the + D) 39.9° from the + E) 39.8° from the + | back 48 B) 219.8° from the + |