University Physics Volume 1
18th Edition
ISBN: 9781938168277
Author: William Moebs, Samuel J. Ling, Jeff Sanny
Publisher: OpenStax - Rice University
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Textbook Question
Chapter 6, Problem 69P
(a) What is the radius of a bobsled turn banked at
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A tram of mass of 106 kg, runs at a speed of 60 kmph along an unbanked circular track having a radius of 20m. What is responsible for providing the tram with the required centripetal force, the rails or its engine? Also, find the angle of banking to prevent the rail from wearing out.
An engineer must design a curved exit ramp for a highway in such a way that a car, exiting at the posted speed limit of 40 mi/hr, does not depend on friction to round the curve without skidding. The radius of the curve is 161 m. At what angle with respect to the horizontal must the curve be banked?
A 7200-pound vehicle is driven at a speed of 25 miles per hour on a circular interchange of radius 150 feet. To keep the vehicle from skidding off course, what frictional force must the road surface exert on the tires?
Chapter 6 Solutions
University Physics Volume 1
Ch. 6 - Check Your Understanding Now calculate the scale...Ch. 6 - Check Your Understanding Calculate the...Ch. 6 - Check Your Understanding Determine a general...Ch. 6 - Check Your Understanding The soccer player stops...Ch. 6 - Check Your Understanding Find the direction of the...Ch. 6 - Check Your Understanding If atmospheric resistance...Ch. 6 - Check Your Understanding A block of mass 1.0 kg...Ch. 6 - Check Your Understanding The snowboarder is now...Ch. 6 - Check Your Understanding A car moving at 96.8 km/h...Ch. 6 - Check Your Understanding Find the terminal...
Ch. 6 - Check Your Understanding suppose the resistive...Ch. 6 - Solving Problems with Newton’s Laws To sirmulate...Ch. 6 - Friction The glue on a piece of tape can exert...Ch. 6 - When you learn to drive, you discover that you...Ch. 6 - When you push a pices of chalk across a...Ch. 6 - A physics major is cooking breakfast en she...Ch. 6 - Centripetal Force If you wish to reduce the stress...Ch. 6 - Define centripetal force. Can any type of force...Ch. 6 - If centripetal force is directed toward the...Ch. 6 - Race car drivers routinely cut corners, as shown...Ch. 6 - Many amusement parks have rides that make vertical...Ch. 6 - What causes water to be removed from clothes in a...Ch. 6 - As a skater forms a circle, what force is...Ch. 6 - Suppose a child is riding on a merry-go-round at a...Ch. 6 - Do you feel yourself thro to either side when you...Ch. 6 - Suppose a mass is moving in a circular path on a...Ch. 6 - When a toilet is flushed or a sink Is drained, the...Ch. 6 - A car rounds a curve and encounters a patch of ice...Ch. 6 - In one amusement park ride, riders enter a large...Ch. 6 - Two friends are having a conversation. Anna says a...Ch. 6 - A nonrotating frame of reference placed at the...Ch. 6 - Athletes such as swimmers and bicyclists wear body...Ch. 6 - Two expressions were used for the drag force...Ch. 6 - As cars travel, oil and gasoline leaks onto the...Ch. 6 - Why can a squirrel jump from a tree branch to the...Ch. 6 - Solving Problems with Newton’s Laws A 30.0-kg girl...Ch. 6 - Find the tension in each of the three cables...Ch. 6 - Three forces act on an object, considered to be a...Ch. 6 - A flea jumps by exerting a force of...Ch. 6 - Two muscles in the back of the leg pull upward on...Ch. 6 - After a mishap, a 76.0-kg circus performer clings...Ch. 6 - A 35.0-kg dolphin decelerates from 12.0 to 7.50 m/...Ch. 6 - When starting a foot race, a 70.0-kg sprinter...Ch. 6 - A large rocket has a mass of 2.00106kgat takeoff,...Ch. 6 - A basketball player jumps straight up for a ball....Ch. 6 - A 2.50-kg fireworks shell is fired straight up...Ch. 6 - A 0.500-kg potato is fired at an angle of 80.0...Ch. 6 - An elevator filled with passengers has a mass of...Ch. 6 - A 20.O-g ball hangs from the roof of a freight car...Ch. 6 - A student’s backpack, full of textbooks, is hung...Ch. 6 - A service elevator takes a load of garbage, mass...Ch. 6 - A roller coaster car starts from rest at the top...Ch. 6 - The device shown below is the Atwood’s machine...Ch. 6 - Two blocks are connected by a massless rope as...Ch. 6 - Shown below are two carts connected by a cord that...Ch. 6 - A 2.00 kg block (mass 1) and a 4.00 kg block (mass...Ch. 6 - Friction (a) When rebuilding his car’s engine, a...Ch. 6 - (a) What is the maximum frictional force in the...Ch. 6 - Suppose you have a 120-kg wooden crate resting on...Ch. 6 - (a) If half of the weight of a small...Ch. 6 - A team of eight dogs pulls a sled with waxed wood...Ch. 6 - Consider the 65.0-kg ice skater being pushed by...Ch. 6 - Show that the acceleration of any object down a...Ch. 6 - Show that the acceleration of any object down an...Ch. 6 - Calculate the deceleration of a snow boarder going...Ch. 6 - A machine at a post office sends packages out a...Ch. 6 - If an object is to rest o an incline without...Ch. 6 - Calculate the maximum acceleration of a car that...Ch. 6 - Calculate the maximum acceleration of a car that...Ch. 6 - Repeat the preceding problem for a car with four-...Ch. 6 - A freight train consists of two 8.00105kgengines...Ch. 6 - Consider the 52.0-kg mountain climber shown below....Ch. 6 - A contestant in a winter sporting event pushes a...Ch. 6 - The contestant now pulls the block of ice with a...Ch. 6 - At a post office, a parcel that is a 20.0-kg box...Ch. 6 - (a) A 22.0-kg child is riding a playground...Ch. 6 - Calculate the centripetal force on the end of a...Ch. 6 - What Is the ideal banking angle for a gentle turn...Ch. 6 - What is the ideal speed to take a 100.0-m-radius...Ch. 6 - (a) What is the radius of a bobsled turn banked at...Ch. 6 - Part of riding a bicycle involves leaning at the...Ch. 6 - If a car takes a banked curve at less than the...Ch. 6 - Modem roller coasters have vertical loops like the...Ch. 6 - A child of mass 40.0 kg is in a roller coaster car...Ch. 6 - In the simple Bohr model of the ground state of...Ch. 6 - Railroad tracks follow a circular curve of radius...Ch. 6 - The CERN particle accelerator is circular with a...Ch. 6 - A car rounds an unbanked curve of radius 65 m. If...Ch. 6 - A banked highway is designed for traffic moving at...Ch. 6 - Drag Force and Terminal Speed The terminal...Ch. 6 - A 60.0-kg and a 90.0-kg skydiver jump from an...Ch. 6 - A 560-g squirrel with a surface area of...Ch. 6 - To maintain a constant speed, the force provided...Ch. 6 - By what factor does the drag force on a car...Ch. 6 - Calculate the velocity a spherical rain drop would...Ch. 6 - Using Stokes’ law, verify that the units for...Ch. 6 - Find the terminal velocity of a spherical...Ch. 6 - Stokes’ law describes sedimentation of particles...Ch. 6 - Suppose that the resistive force of the air on a...Ch. 6 - A small diamond of mass 10.0 g drops from a...Ch. 6 - (a) What is the final velocity of a car originally...Ch. 6 - A 75.0-kg man stands on a bathroom scale in an...Ch. 6 - (a) Calculate the minimum coefficient of friction...Ch. 6 - As shown below, if M=5.50kg , what is the tension...Ch. 6 - As shown below, if F=60.0Nand M=4.00kg, what is...Ch. 6 - As shown below, if M=6.0kg, what is the tension in...Ch. 6 - A small space probe Is released from a spaceship....Ch. 6 - A half-full recycling bin has mass 10 kg and is...Ch. 6 - A child has mass 6.0 kg and slides down a...Ch. 6 - The two barges shown here are coupled by a cable...Ch. 6 - If the order of the barges of the preceding...Ch. 6 - An object with mass m moves along the x -axis. Its...Ch. 6 - A helicopter with mass 2.35104kg has a position...Ch. 6 - Located at the origin, an electric car of mass mis...Ch. 6 - A particle of mass mis located at the origin. It...Ch. 6 - A 2.0-kg object has a velocity of at t=0 . A...Ch. 6 - A 1.5-kg mass has an acceleration of (4.0 i 3.0 j...Ch. 6 - A box is dropped onto a conveyor belt moving at...Ch. 6 - Shown below is a 10.0-kg block being pushed by a...Ch. 6 - As shown below, the mass of block 1 is m1=4.0kg ....Ch. 6 - A student is attempting to move a 30-kg...Ch. 6 - A crate of mass 100.0 kg rests on a rough surface...Ch. 6 - A car is moving at high speed along a highway when...Ch. 6 - A crate having mass 50.0 kg falls horizontally off...Ch. 6 - A 15-kg sled is pulled across a horizontal,...Ch. 6 - A 30.O-g ball at the end of a stung is swung in a...Ch. 6 - A particle of mass 0.50 kg starts moves through a...Ch. 6 - A stunt cyclist rides on the interior of a...Ch. 6 - When a body of mass 0.25 kg is attached to a...Ch. 6 - A piece of bacon starts to slide down the pan when...Ch. 6 - A plumb bob bangs from the roof of a railroad car....Ch. 6 - An airplane flies at 120.0 m/s and banks at a...Ch. 6 - The position of a particle is given by r(t)=A(cost...Ch. 6 - Two blocks connected by a string are pulled across...Ch. 6 - As shown below, the coefficient of kinetic...Ch. 6 - In the figure, the coefficient of kinetic friction...Ch. 6 - Two blocks are stacked as shown below, and rest on...Ch. 6 - A box rests on the (horizontal) back of a truck....Ch. 6 - A double-incline plane is shown below. The...Ch. 6 - In a later chapter, you will find that the weight...Ch. 6 - A large centrifuge, like the one shown below, is...Ch. 6 - A car of mass 1000.0 kg is traveling along a level...Ch. 6 - An airplane flying at 200.0 m/s makes a turn that...Ch. 6 - A skydiver is at an altitude of 1520 m. After 10.0...Ch. 6 - In a television commercial, a small, spherical...Ch. 6 - A boater and motor boat ate at rest on a lake....
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- An engineer must design a curved exit ramp for a highway in such a way that a car, exiting at the posted speed limit of 11.18 m/s (25 mi/hr), does not depend on friction to round the curve without skidding. The radius of the curve is 229.0 m. At what angle with respect to the horizontal must the curve be banked (in degrees)?arrow_forwardAnswer the follwing questions The bobsled track at the 1994 Olympics contained turn with radii of 33 m. Find the centripetal acceleration at the turn for a speed of 340 cm/sec. What is the maximum speed at which a car can safely negotiate an unbanked turn with radius of 60 m in icy weather, where the coefficient of static friction is 0.10? An 8 kg block initially at rest is pulled to the right along a horizontal surface whose coefficient of friction 0.1by a constant force of 34 N. Find the speed of the block after it has moved 2 m.arrow_forwardA jet pilot takes his aircraft in a vertical loop , if the jet is moving at a speed of 1140 km/m , at the lowest point of the loop , determine the minimum radius (r) of the circle , so that the centripetal acceleration at the lowest point doesn't exceed 6.4 g's and also calculate the 70 kg pilot's effective weight ( The force with which the seat pushes up on him ) at the bottom of the circle , and at the top of the circle ( assume the same speed ) FNbottom , FNtop ?arrow_forward
- What is the friction force on a 1800kg car if it rounds a curve with a radius of 110m at a speed of 15m/s? what minimum coefficient of friction is needed?arrow_forwardWhat friction force is required by a 2000kg car's tires turning around a corner with a radius of 10m, and a linear velocity of 14m/s?arrow_forwardA car, with mass m, is racing around a circular track with some velocity v. If the car suddenly had its mass tripled and velocity doubled, what would happen to the centripetal acceleration needed for the car to conitnue circular motion?arrow_forward
- A car with a mass of 1000kg travels around a banked curve of radius 40m with a speed of 27m/s. In the absence of friction, what are the values of the horizontal and vertical components of the normal force?arrow_forwardA trolly is set move on a smooth track that is banked at an angle of 30⁰.for atrolly moving with a speed of 8 m/s to round the curve,what is the radius of the banked surface?arrow_forwardIf you are in a car that rounds a curve, and you are not wearing a seat belt, and you slide across your seat and slam against a car door, what kind of force is responsible for your slide—centripetal, centrifugal, or no force? Why is the correct answer “no force”?arrow_forward
- What is the smallest radius R about which an automobile can turnwithout skidding at 100 km/h if μ = 0.75 (a typical value)?arrow_forwardIf a curve with radius of 60m is properly banked for a car travelling 60km/hr, what must be the coefficient of static friction for a car not to skid when travelling at 90km/hr?arrow_forwardA car of mass 1.6 kg travels at a constant speed of 72 km/h around a horizontal curvedroad with radius of curvature 190 m. What is the minimum value of µₛ between the roadand the tires that will prevent slippage?arrow_forward
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