Solutions for University Physics Volume 1
Problem 8.1CYU:
Check Your understanding In Example 8.1 what are the potential energies of the particle at x=1 m and...Problem 8.2CYU:
Check Your Understanding What are the values of the gravitational potential energy of the hiker at...Problem 8.3CYU:
Check Your Understanding When the length of the spring in Example 8.3 changes from an initial value...Problem 8.4CYU:
Check Your Understanding Suppose the mass in Equation 8.6 is doubled while keeping the all other...Problem 8.5CYU:
Check Your Understanding A two-dimensional, conservative force is zero on the x- and y-axes, and...Problem 8.6CYU:
Check Your Understanding Fend the forces on the particle in Example 8.6 when kinetic energy is 1.0 J...Problem 8.7CYU:
Check Your Understanding How high above the bottom of its arc is the particle in the simple pendulum...Problem 8.8CYU:
Check Your Understanding You probably recall that, neglecting air resistance, if you throw a...Problem 8.9CYU:
Check Your Understanding What potential energy U(x) can you substitute in Equation 8.13 that will...Problem 8.10CYU:
Check Your Understanding Repeat Example 8.10 when the particle’s mechanical energy is +0.25 J.Problem 8.11CYU:
Check Your Understanding Find x(t) for the mass-spring system in Example 8.11 ii the particle starts...Problem 1CQ:
The kinetic energy of a system must always be positive or zero. Explain whether this is true for the...Problem 2CQ:
The force exerted by a diving board is conservative, provided the internal friction is negligible....Problem 3CQ:
Describe the gravitational potential energy transfers and transformations for a javelin, starting...Problem 4CQ:
A couple of soccer balls of equal mass are kiched off the ground at the same speed but at different...Problem 5CQ:
What is the dominant factor that affects the speed of an object that started from rest down a...Problem 6CQ:
Two people observe a leaf falling from a tree. One person is standing on a ladder and the other is...Problem 8CQ:
A bottle rocket is shot straight up in the air with a speed 30 m/s. if the air resistance is...Problem 9CQ:
An external force acts on a particle during a trip from one point to another and back to that same...Problem 10CQ:
When a body slides down an inclined plane, does the work of friction depend on the body’s initial...Problem 11CQ:
Consider the following scenario. A car for which friction is not negligible accelerates from rest...Problem 12CQ:
A dropped ball bounces to one-half its original height. Discuss the energy transformations that take...Problem 13CQ:
“ E=K+Uconstant is a special case of the work energy theorem.” Discuss this statement.Problem 14CQ:
In a common physics demonstration, a bowling ball is suspended from the ceiling by a rope. The...Problem 15CQ:
A child jumps tip and down on a bed, reaching a higher height after each bounce. Explain how the...Problem 17CQ:
Neglecting air resistance, how much would I have to raise the vertical height if I wanted to double...Problem 18CQ:
A box is dropped onto a spring at its equilibrium position. The spring compresses with the box...Problem 19P:
Using values from Table 8.1, how many DNA molecules could be broken by the energy carried by a...Problem 20P:
If the energy in fusion bombs were used to supply the energy needs of the world, how many of the...Problem 21P:
A camera weighing 10 N falls from a small drone hovering 20 m overhead and enters free fall. What is...Problem 22P:
Someone drops a 50 — g pebble off of a docked cruise ship, 70.0 m from the water line. A person on a...Problem 23P:
A cat’s crinkle ball toy of mass 15 g is thrown straight up with an initial speed of 3 m/s. Assume...Problem 24P:
A force F(x)=(3.0/x)N acts on a particle as it moves along the positive x-axis. (a) How much work...Problem 25P:
A force F(x)=(5.0x2+7.0x)N acts on a particle as it moves along the positive x-axis. (a)How much...Problem 27P:
The potential energy function for either one of the two atoms in a diatomic molecule is often...Problem 28P:
A particle of mass 2.0 kg moves under the influence of the force F(x)=(3/x)N. If its speed at x=2.0...Problem 29P:
A particle of mass 2.0 kg moves under the influence of the force F(x)=(5x2=7x)N. If its speed at...Problem 30P:
A crate on rollers is being pushed without frictional loss of energy across the floor of a freight...Problem 31P:
A boy throws a ball of mass 0.25 kg straight upward with an initial speed of 20 m/s When the ball...Problem 32P:
A mouse of mass 200 g falls 100 m down a vertical mine shaft and lands at the bottom with a speed of...Problem 33P:
Using energy considerations and assuming negligible air resistance, show that a rock thrown from a...Problem 34P:
A 1.0-kg ball at the end of a 2.0-m string swings in a vertical plane. At its lowest point the ball...Problem 35P:
Ignoring details associated with friction, extra forces exerted by arm and leg muscles, and other...Problem 36P:
Tarzan grabs a vine hanging vertically from a tall tree when he is running at 9.0 m/s. (a) How high...Problem 37P:
Assume that the force of a bow on an arrow behaves like the spring force. In aiming the arrow, an...Problem 38P:
A 100 — kg man is skiing across level ground at a speed of 8.0 m/s when he comes to the small slope...Problem 39P:
A sled of mass 70 kg starts from rest and slides down a 10 incline 80 m long. It then travels for 20...Problem 40P:
A girl on a skateboard (total mass of 40 kg) is moving at a speed of 10 m/s at the bottom of a long...Problem 41P:
A baseball of mass 0.25 kg is hit at home plate with a speed of 40 m/s. When it lands in a seat in...Problem 42P:
A small block of mass in slides without friction around the loop-the-loop apparatus shown below ....Problem 43P:
The massless spring of a spring gun has a force constant k=12N/cm . When the gun is aimed...Problem 44P:
A small ball is tied to a string and set rotating with negligible friction in a vertical circle....Problem 45P:
A mysterious constant force of 10 N acts horizontally on everything. The direction of the force is...Problem 46P:
A single force F(x)=4.0x (in newtons) acts on a 1.0-kg body. When x=3.5 m, the speed of the body is...Problem 47P:
A particle of mass 4.0 kg is constrained to move along the x -axis under a single force F(x)=cx3 ,...Problem 48P:
The force on a particle of mass 2.0 kg varies with position according to F(x)=3.0x2 (x in meters,...Problem 49P:
A 4.0-kg particle moving along the x -axis is acted upon by the force whose functional form appears...Problem 50P:
A particle of mass 0.50 kg moves along the x -axis with a potential energy whose dependence on x is...Problem 51P:
(a) Sketch a graph of the potential energy function U(x)=kx2/2+Aex2 where k , A, and are constants....Problem 52P:
In the cartoon movie Pocahontas (https://openstaxcollege.org/I/2lpocahontclip) Pocahontas runs to...Problem 53P:
In the reality television show “Amazing Race” (https://openstaxcollege.org/l/2lamazraceclip), a...Problem 54P:
In the Back to the Future movies (https://openstaxcollege.org/l/2lbactofutclip), a DeLorean car of...Problem 55P:
In the Hunger Games movie (https://openstaxcollege.org/l/21HungGamesclip), Katniss Everdeen fires a...Problem 56P:
In a “Top Fail” video (https://openstaxcollege.org/l/21topfailvideo), two women run at each other...Problem 57P:
In a Coyote/Road Runner cartoon clip (https://openstaxcollege.org/l/21coyroadcarcl), a spring...Problem 58P:
In an iconic movie scene, Forrest Gump (https://openstaxcollege.org/l/21ForrGumpvid) runs around the...Problem 59P:
In the movie Monty Python and the Holy Grail (https://openstaxcollege. org/l/21monpytmovcl) a cow is...Problem 60P:
A 60.0-kg skier with an initial speed of 12.0 m/s coasts up a 2.50-m high rise as shown. Find her...Problem 61P:
(a) How high a hill can a car coast up (engines disengaged) if work done by friction is negligible...Problem 62P:
A 5.00105kg subway train is brought to a stop from a speed of 0.500 m/s in 0.400 m by a large spring...Problem 63P:
A pogo stick has a spring with a spring constant of 2.5104N/m , which can be compressed 12.0 cm. To...Problem 64P:
A block of mass 500 g is attached to a spring of spring constant 80 N/m (see the following figure)....Problem 65P:
A block of mass 200 g is attached at the end of a massless spring of spring constant 50 N/m. The...Problem 66P:
A T-shirt cannon launches a shirt at 5.00 m/s from a platform height of 3.00 m from ground level....Problem 67P:
A child (32 kg) jumps up and down on a trampoline. The trampoline exerts a spring restoring force on...Problem 68P:
Shown below is a box of mass m1 that sits on a frictionless incline at an angle above the horizontal...Problem 69AP:
A massless spring with force constant k=200N/m hangs from the ceiling. A 2.0-kg block is attached to...Problem 70AP:
A particle of mass 2.0 kg moves under the influence of the force F(x)=(5x2=7x)N . Suppose a...Problem 71AP:
Block 2 shown below slides along a frictionless table as block 1 falls. Both blocks are attached by...Problem 72AP:
A body of mass m and negligible size starts from rest and slides down the surface of a frictionless...Problem 73AP:
A mysterious force acts on all particles along a particular line and always points towards a...Problem 74AP:
An object of mass 10 kg is released at point A, slides to the bottom of the 30 incline, then...Problem 75AP:
Shown below is a small ball of mass m attached to a string of length a. A small peg is located a...Problem 76AP:
A block leaves a frictionless inclined surface horizontally after dropping off by a height h. Find...Problem 77AP:
A block of mass m, after sliding down a frictionless incline, strikes another block of mass M that...Problem 78AP:
A block of mass 300 g is attached to a spring of spring constant 100 N/m. The other end of the...Problem 79AP:
Consider a block of mass 0.200 kg attached to a spring of spring constant 100 N/m. The block is...Problem 80AP:
A skier starts from rest and slides downhill. What will be the speed of the skier if he drops by 20...Problem 81AP:
Repeat the preceding problem, but this time, suppose that the work done by air resistance cannot be...Problem 82AP:
Two bodies are interacting by a conservative force Show that the mechanical energy of an isolated...Problem 83AP:
In an amusement park, a car rolls in a track as shown below. Find the speed of the car at A, B, and...Problem 84AP:
A 200-g steel ball is tied to a 2.00m “massless” string and hung from the ceiling to make a...Problem 85AP:
A 300 g hockey puck is shot across an ice-covered pond. Before the hockey puck was hit, the puck was...Problem 86AP:
A projectile of mass 2 kg is fired with a speed of 20 m/s at an angle of 30 with respect to the...Problem 87AP:
An artillery shell is fired at a target 200 m above the ground. When the shell is 100 m in the air,...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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