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 15CQ: Suppose a mass is moving in a circular path on a frictionless table as shown below. In Earth’s frame...
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Concept explainers
How are linear velocity and angular velocity related?
Drag a word, phrase, or equation into each box to correctly complete the statements.
Transcribed Image Text: How are linear velocity and angular velocity related?
Drag a word, phrase, or equation into each box to correctly complete the statements.
Angular velocity is the change in distance over time, where distance is
Angular velocity is represented as
Linear velocity is the change in
can be represented by v = or
This means that linear velocity is the
v=
ro
W=
ro
the radius and angle measure
the change in velocity
where the distance is the circumference of a circle. It
of the radius and the angular velocity.
V =
product quotient
the arc length and angular velocity
the radius and angular velocity
the change in angle measure
distance over time distance over angle measure
Definition Definition Rate of change of angular displacement. Angular velocity indicates how fast an object is rotating. It is a vector quantity and has both magnitude and direction. The magnitude of angular velocity is represented by the length of the vector and the direction of angular velocity is represented by the right-hand thumb rule. It is generally represented by ω.
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