Problem 1WUE: Math Review A circular track has a radius of 125 m. (a) Calculate the distance around the track. (b)... Problem 2WUE: Math Review (a) Convert 47.0 to radians, using the appropriate conversion ratio. (b) Convert 2.35... Problem 3WUE: (a) Convert 12.0 rev/min to radians per second. (b) Convert 2.57 rad/s to rev/min. (See Sections 1.5... Problem 4WUE: A carnival carousel accelerates nonuniformly from rest, moving through an angle of 8.60 rad in 6.00... Problem 5WUE Problem 6WUE: A grindstone increases in angular speed uniformly from 4.00 rad/s to 12.0 rad/s in 4.00 s. (a)... Problem 7WUE: A bicyclist starting at rest produces a constant angular acceleration of 1.60 rad/s2 for wheels that... Problem 8WUE: A car of mass 1 230 kg travels along a circular road of radius 60.0 m at 18.0 m/s. (a) Calculate the... Problem 9WUE: A man whirls a 0.20-kg piece of lead attached to the end of a string of length 0.500 m in a circular... Problem 10WUE: (a) Find the magnitude of the gravity force between a planet with mass 5.98 1024 kg and its moon,... Problem 11WUE: What is the gravitational acceleration close to the surface of a planet with a mass of 2ME and... Problem 12WUE Problem 13WUE Problem 14WUE Problem 15WUE: A comet has a period of 76.3 years and moves in an elliptical orbit in which its perihelion (Closest... Problem 1CQ: In a race like the Indianapolis 500, a driver circles the track counterclockwise and feels his head... Problem 2CQ: If someone told you that astronauts are weightless in Earth orbit because they are beyond the force... Problem 3CQ: If a cars wheels are replaced with wheels of greater diameter, will the reading of the speedometer... Problem 4CQ: At night, you are farther away from the Sun than during the day. Whats more, the force exerted by... Problem 5CQ: A pendulum consists of a small object called a bob hanging from a light cord of fixed length, with... Problem 6CQ: Because of Earths rotation about its axis, you weigh slightly less at the equator than at the poles.... Problem 7CQ: It has been suggested that rotating cylinders about 10 miles long and 5 miles in diameter he placed... Problem 8CQ: Describe the path of a moving object in the event that the objects acceleration is constant in... Problem 9CQ: A pail of water can be whirled in a vertical circular path such that no water is spilled. Why does... Problem 10CQ: Use Keplers second law to convince yourself that Earth must move faster in its orbit during the... Problem 11CQ: Is it possible for a car to move in a circular path in such a way that it has a tangential... Problem 12CQ: A child is practicing for a BMX race. His speed remains constant as he goes counterclockwise around... Problem 13CQ: An object executes circular motion with constant speed whenever a net force of constant magnitude... Problem 1P: Angular Speed and Angular Acceleration (a) Find the angular speed of Earths rotation about its axis.... Problem 2P: A wheel has a radius of 4.1 m. How far (path length) does a point on the circumference travel if the... Problem 3P: The tires on a new compact car have a diameter of 2.0 ft and are warranted for 60 000 miles, (a)... Problem 4P: A potters wheel moves uniformly from rest to an angular velocity of 1.00 rev/s in 30.0 s. (a) Find... Problem 5P: A dentists drill starts from rest. After 3.20 s of constant angular acceleration, it turns at a rate... Problem 6P: A centrifuge in a medical laboratory rotates at an angular velocity of 3600 rev/min. When switched... Problem 7P: A machine part rotates at an angular speed of 0.06 rad/s; its speed is then increased to 2.2 rad/s... Problem 8P: A bicycle is turned upside down while its owner repairs a flat tire. A friend spins the other wheel... Problem 9P: The diameters of the main rotor and tail rotor of a single-engine helicopter are 7.60 m and 1.02 m,... Problem 10P: The tub of a washer goes into its spin-dry cycle, starting from rest and reaching an angular speed... Problem 11P: A car initially traveling at 29.0 m/s undergoes a constant negative acceleration of magnitude 1.75... Problem 12P: A 45.0-cm diameter disk rotates with a constant angular acceleration of 2.50 rad/s2. It starts from... Problem 13P: A rotating wheel requires 3.00 s to rotate 37.0 revolutions. Its angular velocity at the end of the... Problem 14P: An electric motor rotating a workshop grinding wheel at a rate of 1.00 102 rev/min is switched off.... Problem 15P: A car initially traveling eastward turns north by traveling in a circular path at uniform speed as... Problem 16P: It has been suggested that rotating cylinders about 10 mi long and 5.0 mi in diameter be placed in... Problem 17P: (a) What is the tangential acceleration of a bug on the rim of a 10.0-in.-diameter disk if the disk... Problem 18P: An adventurous archeologist (m = 85.0 kg) tries to cross a river by swinging from a vine. The vine... Problem 19P: One end of a cord is fixed and a small 0.500-kg object is attached to the other end, where it swings... Problem 20P: A coin rests 15.0 cm from the center of a turntable. The coefficient of static friction between the... Problem 21P: A 55.0-kg ice skater is moving at 4.00 m/s when she grabs the loose end of a rope, the opposite end... Problem 22P: A 40.0-kg child swings in a swing supported by two chains, each 3.00 m long. The tension in each... Problem 23P: A certain light truck can go around a flat curve having a radius of 150 m with a maximum speed of... Problem 24P: A sample of blood is placed in a centrifuge of radius 15.0 cm. The mass of a red blood cell is 3.0 ... Problem 25P: A 50.0-kg child stands at the rim of a merry-go-round of radius 2.00 m, rotating with an angular... Problem 26P: A space habitat for a long space voyage consists of two cabins each connected by a cable to a... Problem 27P: An air puck of mass m1 = 0.25 kg is tied to a siring and allowed to revolve in a circle of radius R... Problem 28P Problem 29P: A woman places her briefcase on the backseat of her car. As she drives to work, the car negotiates... Problem 30P: A pail of water is rotated in a vertical circle of radius 1.00 m. (a) What two external forces act... Problem 31P: A 40.0-kg child takes a ride on a Ferris wheel that rotates four times each minute and has a... Problem 32P Problem 33P: The average distance separating Earth and the Moon is 384 000 km. Use the data in Table 7.3 to find... Problem 34P: A satellite has a mass of 100 kg and is Located at 2.00 106m above the surface of Earth. (a) What... Problem 35P: A coordinate system (in meters) is constructed on the surface of a pool table, and three objects are... Problem 36P Problem 37P: Objects with masses of 200. kg and 500. kg are separated by 0.400 m. (a) Find the net gravitational... Problem 38P: Use the data of Table 7.3 to find the point between Earth and the Sun at which an object can be... Problem 39P Problem 40P: Two objects attract each other with a gravitational force of magnitude 1.00 108 N when separated by... Problem 41P Problem 42P Problem 43P: A satellite of Mars, called Phoebus, has an orbital radius of 9.4 106 m and a period of 2.8 104 s.... Problem 44P Problem 45P: Two satellites are in circular orbits around the Earth. Satellite A is at an altitude equal to the... Problem 46AP: Additional Problems A synchronous satellite. which always remains above the same point on a planet's... Problem 47AP: (a) One of the moons of Jupiter, named Io, has an orbital radius of 4.22 108 m and a period of 1.77... Problem 48AP: Neutron stars are extremely dense objects that are formed from the remnants of supernova explosions.... Problem 49AP: One method of pitching a softball is called the wind-mill delivery method, in which the pitchers arm... Problem 50AP: A digital audio compact disc (CD) carries data along a continuous spiral track from the inner... Problem 51AP: An athlete swings a 5.00-kg ball horizontally on the end of a rope. The ball moves in a circle of... Problem 52AP: A car rounds a banked curve where the radius of curvature of the road is R, the banking angle is ,... Problem 53AP Problem 54AP: A 0.400-kg pendulum bob passes through the lowest part of its path at a speed of 3.00 m/s. (a) What... Problem 55AP: A car moves at speed v across a bridge made in the shape of a circular arc of radius r. (a) Find an... Problem 56AP Problem 57AP: Because of Earths rotation about its axis, a point on the equator has a centripetal acceleration of... Problem 58AP Problem 59AP: In Robert Heinleins The Moon Is a Harsh Mistress, the colonial inhabitants of the Moon threaten to... Problem 60AP: A roller coaster travels in a circular path, (a) Identify the forces on a passenger at the top of... Problem 61AP: In a home laundry dryer, a cylindrical tub containing wet clothes is rotated steadily about a... Problem 62AP: A model airplane of mass 0.750 kg flies with a speed of 35.0 m/s in a horizontal circle at the end... Problem 63AP: A skier starts at rest at the top of a large hemispherical hill (Fig. P7.63). Neglecting friction,... Problem 64AP: Casting of molten metal is important in many industrial processes. Centrifugal casting is used for... Problem 65AP: Suppose a 1 800-kg car passes over a bump in a roadway that follows the arc of a circle of radius... Problem 66AP: A stuntman whose mass is 70 kg swings from the end of a 4.0-m-long rope along the arc of a vertical... Problem 67AP Problem 68AP: The pilot of an airplane executes a constant-speed loop-the-loop maneuver in a vertical circle as in... Problem 69AP: A piece of mud is initially at point A on the rim of a bicycle wheel of radius R rotating clockwise... Problem 70AP: A 0.275-kg object is swung in a vertical circular path on a string 0.850 m long as in Figure P7.70.... Problem 71AP: A 4.0-kg object is attached to a vertical rod by two strings as shown in Figure P7.69. The object... Problem 72AP: The maximum lift force on a bat is proportional to the square of its flying speed v. For the hoary... Problem 73AP: (a) A luggage carousel at an airport has the form of a section of a large cone, steadily rotating... Problem 74AP: A 0.50-kg ball that is tied to the end of a 1.5-m light cord is revolved in a horizontal plane, with... Problem 75AP: In a popular amusement park ride, a rotating cylinder of radius 3.00 m is set in rotation at an... Problem 76AP: A massless spring of constant k = 78.4 N/m is fixed on the left side of a level track. A block of... format_list_bulleted