Solutions for University Physics Volume 1
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 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 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 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 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 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 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...Browse All Chapters of This Textbook
Chapter 1 - Units And MeasurementChapter 2 - VectorsChapter 3 - Motion Along A Straight LineChapter 4 - Motion In Two And Three DimensionsChapter 5 - Newton's Law Of MotionChapter 6 - Applications Of Newton's LawsChapter 7 - Work And Kinetic EnergyChapter 8 - Potential Energy And Conservation Of EnergyChapter 9 - Linear Momentum And CollisionsChapter 10 - Fixed-axis Rotation
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