University Physics Volume 1 18th Edition
ISBN: 9781938168277
Author: William Moebs, Samuel J. Ling, Jeff Sanny
Publisher: William Moebs, Samuel J. Ling, Jeff Sanny
1 Units And Measurement 2 Vectors 3 Motion Along A Straight Line 4 Motion In Two And Three Dimensions 5 Newton's Law Of Motion 6 Applications Of Newton's Laws 7 Work And Kinetic Energy 8 Potential Energy And Conservation Of Energy 9 Linear Momentum And Collisions 10 Fixed-axis Rotation 11 Angular Momentum 12 Static Equilibrium And Elasticity 13 Gravitation 14 Fluid Mechanics 15 Oscillations 16 Waves 17 Sound Chapter6: Applications Of Newton's Laws
Chapter Questions Section: Chapter Questions
Problem 6.1CYU: Check Your Understanding Now calculate the scale reading when the elevator accelerates downward at a... Problem 6.2CYU: Check Your Understanding Calculate the acceleration of the system, and the tension in the string,... Problem 6.3CYU: Check Your Understanding Determine a general formula in terms of and for calculating the tension in... Problem 6.4CYU: Check Your Understanding The soccer player stops after completing the play described above, but now... Problem 6.5CYU: Check Your Understanding Find the direction of the resultant for the 1.50-kg model helicopter. Problem 6.6CYU: Check Your Understanding If atmospheric resistance is neglected find the maximum height for the... Problem 6.7CYU: Check Your Understanding A block of mass 1.0 kg rests on a horizontal surface. The frictional... Problem 6.8CYU: Check Your Understanding The snowboarder is now moving down a hill with incline 10.0 . What is the... Problem 6.9CYU: Check Your Understanding A car moving at 96.8 km/h travels around a circular curve of radius 182.9 m... Problem 6.10CYU: Check Your Understanding Find the terminal velocity of a 50-kg skydiver falling in spread-eagle... Problem 6.11CYU: Check Your Understanding suppose the resistive force the air on a skydiver can be approximated f=bv2... Problem 1CQ: Solving Problems with Newton’s Laws To sirmulate the apparent weightlessness of space orbit,... Problem 2CQ: Friction The glue on a piece of tape can exert forces. Can these forces be a type of simple... Problem 3CQ: When you learn to drive, you discover that you need to let up slightly on the brake pedal as you... Problem 4CQ: When you push a pices of chalk across a chalkboard. It sometimes screeches because it rapidly... Problem 5CQ: A physics major is cooking breakfast en she notices that the frictional force between her steel... Problem 6CQ: Centripetal Force If you wish to reduce the stress (which is related to centripetal force) on... Problem 7CQ: Define centripetal force. Can any type of force (for example, tension, gravitational force,... Problem 8CQ: If centripetal force is directed toward the center, why do you feel that you are ‘thrown’ away from... Problem 9CQ: Race car drivers routinely cut corners, as shown below (Path 2). Explain how this allows the curve... Problem 10CQ: Many amusement parks have rides that make vertical loops like the one shown below. For safety, the... Problem 11CQ: What causes water to be removed from clothes in a spin-dryer? Problem 12CQ: As a skater forms a circle, what force is responsible for making his turn? Use a free-body diagram... Problem 13CQ: Suppose a child is riding on a merry-go-round at a distance about halfway between its center and... Problem 14CQ: Do you feel yourself thro to either side when you negotiate a curve that is ideally banked for your... Problem 15CQ: Suppose a mass is moving in a circular path on a frictionless table as shown below. In Earth’s frame... Problem 16CQ: When a toilet is flushed or a sink Is drained, the water (and other material) begins to rotate about... Problem 17CQ: A car rounds a curve and encounters a patch of ice with a very low coefficient of kinetic fiction.... Problem 18CQ: In one amusement park ride, riders enter a large vertical barrel and stand against the wall on its... Problem 19CQ: Two friends are having a conversation. Anna says a satellite in orbit is in free tall because the... Problem 20CQ: A nonrotating frame of reference placed at the center of the Sun is very nearly an inertial one. Why... Problem 21CQ: Athletes such as swimmers and bicyclists wear body suits In competition. Formulate a list of pros... Problem 22CQ: Two expressions were used for the drag force experienced by a moving object in a liquid. One... Problem 23CQ: As cars travel, oil and gasoline leaks onto the road surface. If a light rain falls, what does this... Problem 24CQ: Why can a squirrel jump from a tree branch to the ground and nm away undamaged, while a human could... Problem 25P: Solving Problems with Newton’s Laws A 30.0-kg girl in a swing is pushed to one side and held at rest... Problem 26P: Find the tension in each of the three cables supporting the traffic light if it weighs Problem 27P: Three forces act on an object, considered to be a particle, which moves with constant velocity . Two... Problem 28P: A flea jumps by exerting a force of 1.2010-5Nstraight down on the ground. A breeze blowing on the... Problem 29P: Two muscles in the back of the leg pull upward on the Achilles tendon, as shown below. (These... Problem 30P: After a mishap, a 76.0-kg circus performer clings to a trapeze, which is being pulled to the side by... Problem 31P: A 35.0-kg dolphin decelerates from 12.0 to 7.50 m/ s in 2.30 s to join another dolphin in play. What... Problem 32P: When starting a foot race, a 70.0-kg sprinter exerts an average force of 650 N backward on the... Problem 33P: A large rocket has a mass of 2.00106kgat takeoff, and its engines produce a thrust of 3.50107N . (a)... Problem 34P: A basketball player jumps straight up for a ball. To do this, he lowers his body 0.300 m and then... Problem 35P: A 2.50-kg fireworks shell is fired straight up from a mortar and reaches a height of 110.0 m. (a)... Problem 36P: A 0.500-kg potato is fired at an angle of 80.0 above the horizontal from a PVC pipe used as a... Problem 37P: An elevator filled with passengers has a mass of 1.70103kg . (a) The elevator accelerates upward... Problem 38P: A 20.O-g ball hangs from the roof of a freight car by a string. When the freight car begins to move,... Problem 39P: A student’s backpack, full of textbooks, is hung from a spring scale attached to the ceiling of an... Problem 40P: A service elevator takes a load of garbage, mass 10.0 kg, from a floor of a skyscraper under... Problem 41P: A roller coaster car starts from rest at the top of a track 30.0 m long and inclined at 20.0to the... Problem 42P: The device shown below is the Atwood’s machine considered in Example 6.5. Assuming that the masses... Problem 43P: Two blocks are connected by a massless rope as shown below. The mass of the block on the table is... Problem 44P: Shown below are two carts connected by a cord that passes over a small frictionless pulley. Each... Problem 45P: A 2.00 kg block (mass 1) and a 4.00 kg block (mass 2) are connected by a light sting as shown; the... Problem 46P: Friction (a) When rebuilding his car’s engine, a physics major must exert 3.00102Nof force to insert... Problem 47P: (a) What is the maximum frictional force in the knee joint of a person who supports 66.0 kg of her... Problem 48P: Suppose you have a 120-kg wooden crate resting on a wood floor, with coefficient of static friction... Problem 49P: (a) If half of the weight of a small 1.00103-kgutility truck is supported by its two drive wheels, s... Problem 50P: A team of eight dogs pulls a sled with waxed wood runners on wet snow (mush!). The dogs have average... Problem 51P: Consider the 65.0-kg ice skater being pushed by two others shown below. (a) Find the direction and... Problem 52P: Show that the acceleration of any object down a frictionless incline that makes an angle with the... Problem 53P: Show that the acceleration of any object down an incline where friction behaves simply (that Is,... Problem 54P: Calculate the deceleration of a snow boarder going up a 5.00slope, assuming the coefficient of... Problem 55P: A machine at a post office sends packages out a chute and down a ramp to be loaded into delivery... Problem 56P: If an object is to rest o an incline without slipping, then friction must equal the component of the... Problem 57P: Calculate the maximum acceleration of a car that is heading down a 6.00slope (one that makes an... Problem 58P: Calculate the maximum acceleration of a car that is heading up a 4.00slope (one that makes an angle... Problem 59P: Repeat the preceding problem for a car with four- wheel drive. Problem 60P: A freight train consists of two 8.00105kgengines and 45 cars with average masses of 5.50105kg . (a)... Problem 61P: Consider the 52.0-kg mountain climber shown below. (a) Find the tension in the rope and the force... Problem 62P: A contestant in a winter sporting event pushes a 45.0-kg block of ice across a frozen lake as shown... Problem 63P: The contestant now pulls the block of ice with a rope over his shoulder at the same angle above the... Problem 64P: At a post office, a parcel that is a 20.0-kg box slides do a ramp inclined at 30.0with the... Problem 65P: (a) A 22.0-kg child is riding a playground merry-go-round that is rotating at 40.0 rev/mm. What... Problem 66P: Calculate the centripetal force on the end of a 100-m(radius) wind turbine blade that Is rotating at... Problem 67P: What Is the ideal banking angle for a gentle turn of 1.20-km radius on a highway with a 105 km/h... Problem 68P: What is the ideal speed to take a 100.0-m-radius curve banked at a 20.0angle? Problem 69P: (a) What is the radius of a bobsled turn banked at 75.0and taken at 30.0 m/s, assuming it is ideally... Problem 70P: Part of riding a bicycle involves leaning at the correct angle when making a turn, as seen below. To... Problem 71P: If a car takes a banked curve at less than the ideal speed, friction is needed to keep It from... Problem 72P: Modem roller coasters have vertical loops like the one shown here. The radius of curvature is... Problem 73P: A child of mass 40.0 kg is in a roller coaster car that travels in a loop of radius 7.00 m. At point... Problem 74P: In the simple Bohr model of the ground state of the hydrogen atom, the electron travels in a... Problem 75P: Railroad tracks follow a circular curve of radius 500.0 m and are banked at an angle of 5.0 . For... Problem 76P: The CERN particle accelerator is circular with a circumference of 7.0 km. (a) What is the... Problem 77P: A car rounds an unbanked curve of radius 65 m. If the coefficient of static friction between the... Problem 78P: A banked highway is designed for traffic moving at 90.0 km/h. The radius of the curve is 310 m. What... Problem 79P: Drag Force and Terminal Speed The terminal velocity of a person falling in air depends upon the... Problem 80P: A 60.0-kg and a 90.0-kg skydiver jump from an airplane at an altitude of 6.00103m , both falling in... Problem 81P: A 560-g squirrel with a surface area of 930cm2falls from a 5.0-m tree to the ground. Estimate its... Problem 82P: To maintain a constant speed, the force provided by a car’s engine must equal the drag force plus... Problem 83P: By what factor does the drag force on a car increase as it goes from 65 to 110 km/h? Problem 84P: Calculate the velocity a spherical rain drop would achieve falling from 5.00 km (a) in the absence... Problem 85P: Using Stokes’ law, verify that the units for viscosity are kilograms per meter per second. Problem 86P: Find the terminal velocity of a spherical bacterium (diameter 2.00m ) falling in water. You will... Problem 87P: Stokes’ law describes sedimentation of particles in liquids and can be used to measure viscosity.... Problem 88P: Suppose that the resistive force of the air on a skydiver can be approximated by f=bv2 . If the... Problem 89P: A small diamond of mass 10.0 g drops from a swimmers earring and falls through the water, reaching a... Problem 90P: (a) What is the final velocity of a car originally traveling at 50.0 km/h that decelerates at a rate... Problem 91P: A 75.0-kg man stands on a bathroom scale in an elevator that accelerates from rest to 30.0 m/s in... Problem 92P: (a) Calculate the minimum coefficient of friction needed for a car to negotiate an unbanked 50.0 m... Problem 93P: As shown below, if M=5.50kg , what is the tension in string 1? Problem 94P: As shown below, if F=60.0Nand M=4.00kg, what is the magnitude of the acceleration of the suspended... Problem 95P: As shown below, if M=6.0kg, what is the tension in the connecting string? The pulley and all... Problem 96P: A small space probe Is released from a spaceship. The space probe has mass 20.0 kg and contains 90.0... Problem 97P: A half-full recycling bin has mass 10 kg and is pushed up a 40.0incline with constant speed under... Problem 98P: A child has mass 6.0 kg and slides down a 35incline with constant speed under the action of a 34-N... Problem 99AP: The two barges shown here are coupled by a cable of negligible mass. The mass of the front barge is... Problem 100AP: If the order of the barges of the preceding exercise is reversed so that the tugboat pulls the... Problem 101AP: An object with mass m moves along the x -axis. Its position at any time is given by... Problem 102AP: A helicopter with mass 2.35104kg has a position given by r(t)=(0.020t3)i +(2.2t)j -(0.060t2)k . Find... Problem 103AP: Located at the origin, an electric car of mass mis at rest and in equilibrium. A time dependent... Problem 104AP: A particle of mass mis located at the origin. It is at rest and in equilibrium. A time-dependent... Problem 105AP: A 2.0-kg object has a velocity of at t=0 . A constant resultant force of then acts on the object for... Problem 106AP: A 1.5-kg mass has an acceleration of (4.0 i 3.0 j )m/s2 . Only two forces act on the mass. If one of... Problem 107AP: A box is dropped onto a conveyor belt moving at 3.4 m/s. If the coefficient of friction between the... Problem 108AP: Shown below is a 10.0-kg block being pushed by a horizontal force of magnitude 200.0 N.The... Problem 109AP: As shown below, the mass of block 1 is m1=4.0kg . while the mass of block 2 is m2=8.0kg . The... Problem 110AP: A student is attempting to move a 30-kg mini-fridge into her dorm room. During a moment of... Problem 111AP: A crate of mass 100.0 kg rests on a rough surface inclined at an angle of 37.0with the horizontal. A... Problem 112AP: A car is moving at high speed along a highway when the driver makes an emergency braking. The wheels... Problem 113AP: A crate having mass 50.0 kg falls horizontally off the back of the flatbed truck, which is traveling... Problem 114AP: A 15-kg sled is pulled across a horizontal, snow-covered surface by a force appiled to a rope at 30... Problem 115AP: A 30.O-g ball at the end of a stung is swung in a vertical circle with a radius of 25.0 m. The... Problem 116AP: A particle of mass 0.50 kg starts moves through a circular path in the xy -plane with a position... Problem 117AP: A stunt cyclist rides on the interior of a cylinder 12 m in radius. The coefficient of static... Problem 118AP: When a body of mass 0.25 kg is attached to a vertical massless spring, it is extended 5.0 cm from... Problem 119AP: A piece of bacon starts to slide down the pan when one side of a pan is raised up 5.0 cm. If the... Problem 120AP: A plumb bob bangs from the roof of a railroad car. The car rounds a circular track of radius 300.0 m... Problem 121AP: An airplane flies at 120.0 m/s and banks at a 30angle. If its mass is 2.50103kg . (a) what is the... Problem 122AP: The position of a particle is given by r(t)=A(cost i +sint j ) . where is a constant. (a) Show... Problem 123AP: Two blocks connected by a string are pulled across a horizontal surface by a force applied to one of... Problem 124AP: As shown below, the coefficient of kinetic friction between the surface and the larger block is... Problem 125AP: In the figure, the coefficient of kinetic friction between the surface and the blocks is k. If... Problem 126AP: Two blocks are stacked as shown below, and rest on a frictionless surface. There is friction between... Problem 127AP: A box rests on the (horizontal) back of a truck. The coefficient of static friction between the box... Problem 128AP: A double-incline plane is shown below. The coefficient of friction on the left surface Is 0.30, and... Problem 129CP: In a later chapter, you will find that the weight of a particle varies with altitude such that... Problem 130CP: A large centrifuge, like the one shown below, is used to expose aspiring astronauts to accelerations... Problem 131CP: A car of mass 1000.0 kg is traveling along a level road at 100.0 km/h when its brakes are applied.... Problem 132CP: An airplane flying at 200.0 m/s makes a turn that takes 4.0 mm. What bank angle is required? What is... Problem 133CP: A skydiver is at an altitude of 1520 m. After 10.0 seconds of free fall, he opens his parachute and... Problem 134CP: In a television commercial, a small, spherical bead of mass 4.00 g is released from rest at t=0in a... Problem 135CP: A boater and motor boat ate at rest on a lake. Together, they have mass 200.0 kg. If the thrust of... Problem 8CQ: If centripetal force is directed toward the center, why do you feel that you are ‘thrown’ away from...
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Centripetal Force
Let's say m and v^2 is constant (meaning equal to 1). Since F = mv^2/r, what is the relationship between force and 1/r? Do they have direct relationship where force increases, 1/r increases? or do they have inverse relationship where force increases, 1/r decreases?
Definition Definition Force on a body along the radial direction. Centripetal force is responsible for the circular motion of a body. The magnitude of centripetal force is given by F C = m v 2 r m = mass of the body in the circular motion v = tangential velocity of the body r = radius of the circular path
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