University Physics Volume 1
18th Edition
ISBN: 9781938168277
Author: William Moebs, Samuel J. Ling, Jeff Sanny
Publisher: OpenStax - Rice University
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Chapter 8, Problem 46P
A single force
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A bungee jumper plans to bungee jump from a bridge 64.0 m above the ground. He plans to use a uniform elastic cord, tied to a harness around his body, to stop his fall at a point 6.00 m above the water. Model his body as a particle and the cord as having negligible mass and obeying
Hooke's law. In a preliminary test he finds that when hanging at rest from a 5.00 m length of the cord, his body weight stretches it by 1.55 m. He will drop from rest at the point where the top end of a longer section of the cord is attached to the bridge.
(a) What length of cord should he use?
Use subscripts 1 and 2 respectively to represent the 5.00 m test length and the actual jump length. Use Hooke's law F = KAL and the fact that the change in length AL for a given force is proportional the length L (AL = CL), to determine the force constant for the test case and for the
jump case. Use conservation of mechanical energy to determine the length of the rope. m
(b) What maximum acceleration will he…
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Figure 1: Circuit symbols for a variety of useful circuit elements
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C If the 9V EMF battery has an internal resistance of 2 2, would this current be larger
or smaller? By how much?
D In the ideal battery case, calculate the current through and the voltage across each
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Chapter 8 Solutions
University Physics Volume 1
Ch. 8 - Check Your understanding In Example 8.1 what are...Ch. 8 - Check Your Understanding What are the values of...Ch. 8 - Check Your Understanding When the length of the...Ch. 8 - Check Your Understanding Suppose the mass in...Ch. 8 - Check Your Understanding A two-dimensional,...Ch. 8 - Check Your Understanding Fend the forces on the...Ch. 8 - Check Your Understanding How high above the bottom...Ch. 8 - Check Your Understanding You probably recall that,...Ch. 8 - Check Your Understanding What potential energy...Ch. 8 - Check Your Understanding Repeat Example 8.10 when...
Ch. 8 - Check Your Understanding Find x(t) for the...Ch. 8 - The kinetic energy of a system must always be...Ch. 8 - The force exerted by a diving board is...Ch. 8 - Describe the gravitational potential energy...Ch. 8 - A couple of soccer balls of equal mass are kiched...Ch. 8 - What is the dominant factor that affects the speed...Ch. 8 - Two people observe a leaf falling from a tree. One...Ch. 8 - What is the physical meaning of a non-conservative...Ch. 8 - A bottle rocket is shot straight up in the air...Ch. 8 - An external force acts on a particle during a trip...Ch. 8 - When a body slides down an inclined plane, does...Ch. 8 - Consider the following scenario. A car for which...Ch. 8 - A dropped ball bounces to one-half its original...Ch. 8 - “ E=K+Uconstant is a special case of the work...Ch. 8 - In a common physics demonstration, a bowling ball...Ch. 8 - A child jumps tip and down on a bed, reaching a...Ch. 8 - Can a non-conservative force increase the...Ch. 8 - Neglecting air resistance, how much would I have...Ch. 8 - A box is dropped onto a spring at its equilibrium...Ch. 8 - Using values from Table 8.1, how many DNA...Ch. 8 - If the energy in fusion bombs were used to supply...Ch. 8 - A camera weighing 10 N falls from a small drone...Ch. 8 - Someone drops a 50 — g pebble off of a docked...Ch. 8 - A cat’s crinkle ball toy of mass 15 g is thrown...Ch. 8 - A force F(x)=(3.0/x)N acts on a particle as it...Ch. 8 - A force F(x)=(5.0x2+7.0x)N acts on a particle as...Ch. 8 - Find the force corresponding to the potential...Ch. 8 - The potential energy function for either one of...Ch. 8 - A particle of mass 2.0 kg moves under the...Ch. 8 - A particle of mass 2.0 kg moves under the...Ch. 8 - A crate on rollers is being pushed without...Ch. 8 - A boy throws a ball of mass 0.25 kg straight...Ch. 8 - A mouse of mass 200 g falls 100 m down a vertical...Ch. 8 - Using energy considerations and assuming...Ch. 8 - A 1.0-kg ball at the end of a 2.0-m string swings...Ch. 8 - Ignoring details associated with friction, extra...Ch. 8 - Tarzan grabs a vine hanging vertically from a tall...Ch. 8 - Assume that the force of a bow on an arrow behaves...Ch. 8 - A 100 — kg man is skiing across level ground at a...Ch. 8 - A sled of mass 70 kg starts from rest and slides...Ch. 8 - A girl on a skateboard (total mass of 40 kg) is...Ch. 8 - A baseball of mass 0.25 kg is hit at home plate...Ch. 8 - A small block of mass in slides without friction...Ch. 8 - The massless spring of a spring gun has a force...Ch. 8 - A small ball is tied to a string and set rotating...Ch. 8 - A mysterious constant force of 10 N acts...Ch. 8 - A single force F(x)=4.0x (in newtons) acts on a...Ch. 8 - A particle of mass 4.0 kg is constrained to move...Ch. 8 - The force on a particle of mass 2.0 kg varies with...Ch. 8 - A 4.0-kg particle moving along the x -axis is...Ch. 8 - A particle of mass 0.50 kg moves along the x -axis...Ch. 8 - (a) Sketch a graph of the potential energy...Ch. 8 - In the cartoon movie Pocahontas...Ch. 8 - In the reality television show “Amazing Race”...Ch. 8 - In the Back to the Future movies...Ch. 8 - In the Hunger Games movie...Ch. 8 - In a “Top Fail” video...Ch. 8 - In a Coyote/Road Runner cartoon clip...Ch. 8 - In an iconic movie scene, Forrest Gump...Ch. 8 - In the movie Monty Python and the Holy Grail...Ch. 8 - A 60.0-kg skier with an initial speed of 12.0 m/s...Ch. 8 - (a) How high a hill can a car coast up (engines...Ch. 8 - A 5.00105kg subway train is brought to a stop from...Ch. 8 - A pogo stick has a spring with a spring constant...Ch. 8 - A block of mass 500 g is attached to a spring of...Ch. 8 - A block of mass 200 g is attached at the end of a...Ch. 8 - A T-shirt cannon launches a shirt at 5.00 m/s from...Ch. 8 - A child (32 kg) jumps up and down on a trampoline....Ch. 8 - Shown below is a box of mass m1 that sits on a...Ch. 8 - A massless spring with force constant k=200N/m...Ch. 8 - A particle of mass 2.0 kg moves under the...Ch. 8 - Block 2 shown below slides along a frictionless...Ch. 8 - A body of mass m and negligible size starts from...Ch. 8 - A mysterious force acts on all particles along a...Ch. 8 - An object of mass 10 kg is released at point A,...Ch. 8 - Shown below is a small ball of mass m attached to...Ch. 8 - A block leaves a frictionless inclined surface...Ch. 8 - A block of mass m, after sliding down a...Ch. 8 - A block of mass 300 g is attached to a spring of...Ch. 8 - Consider a block of mass 0.200 kg attached to a...Ch. 8 - A skier starts from rest and slides downhill. What...Ch. 8 - Repeat the preceding problem, but this time,...Ch. 8 - Two bodies are interacting by a conservative force...Ch. 8 - In an amusement park, a car rolls in a track as...Ch. 8 - A 200-g steel ball is tied to a 2.00m “massless”...Ch. 8 - A 300 g hockey puck is shot across an ice-covered...Ch. 8 - A projectile of mass 2 kg is fired with a speed of...Ch. 8 - An artillery shell is fired at a target 200 m...Ch. 8 - How much energy is lost to a dissipative drag...Ch. 8 - A box slides on a frictionless surface with a...
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