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 72AP
A body of mass m and negligible size starts from rest and slides down the surface of a frictionless solid sphere of radius
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Your professor has put 5 objects near the top of an inclined
plane: a uniformdensity solid sphere, a hollow sphere, a hollow cylinder, a special solid cylinder in which the density is proportional to the radius (ρ(r) =αr), and a solid cube. The spheres and cylinders have radius R and will roll down the plane, while the cube has sides of length 2R and a frictionless coating,so it will slide down the plane. All objects are released at the same time. Which is the last to get to the bottom of the plane?
a) solid sphere
b) hollow sphere
c) hollow cylinder
d) solid cylinder
e) frictionless cube
A conical pendulum consists of a mass, m, at the end of a length of an ideal rope of length
l that is moving in a horizontal circle (as shown in the figure below). The rope makes an
angle with the vertical, defined as 8. The vertical angle is dependent on the length of the
rope and the speed at which the mass moves.
Assuming the mass is moving in uniform circular motion, calculate its speed, v, given that
the length of the rope is = 5.50 m and the angle is 0= 70.5°. Take the acceleration
l
due to gravity as 9.81 m/s².
V=
O Search
JY
m/s
DCE
(2)
8:02
11/29/2
A cord connected at one end to a block which can slide on an
inclined plane has its other end wrapped around a cylinder
resting in a depression at the top of the plane as shown in (
Figure 1).
Determine the speed of the block after it has traveled 1.40 m along the plane, starting from rest. Assume there is no friction.
Express your answer using two significant figures.
Figure
M = 33 kg
R=0.20 m
58°
1 of 1
ΜΕ ΑΣΦ
= 0.844
2+
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m/s
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Part B
Determine the speed of the block after it has traveled 1.40 along the plane, starting from rest. Assume the coefficient of friction
between all surfaces is -00310. Since the block is much lighter than the cylinder, ignore tension in the string when calculating the
normal force on the cylinder. Do not ignore tension in the string when calculating the net torque (including friction) on the cylinder
Express your answer using two significant figures.
v=
ΜΕ ΑΣΦ
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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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