Classical Dynamics of Particles and Systems
5th Edition
ISBN: 9780534408961
Author: Stephen T. Thornton, Jerry B. Marion
Publisher: Cengage Learning
expand_more
expand_more
format_list_bulleted
Concept explainers
Textbook Question
Chapter 2, Problem 2.25P
A block of mass m = 1.62 kg slides down a frictionless incline (Figure 2-A). The block is released a height h = 3.91 m above the bottom of the loop.
- (a) What is the force of the inclined track on the block at the bottom (point A)?
- (b) What is the force of the track on the block at point B?
- (c) At what speed does the block leave the track?
- (d) How far away from point A does the block land on level ground?
- (e) Sketch the potential energy U(x) of the block. Indicate the total energy on the sketch.
FIGURE 2-A Problem 2-25.
Expert Solution & Answer
Trending nowThis is a popular solution!
Students have asked these similar questions
A block of mass m slides down a frictionless incline (see figure). The block is released at height h above the bottom of the loop. Express your answers in terms of m, h, R, and g.
(a) What is the force of the inclined track on the block at the bottom (point A)?
(b) What is the force of the track on the block at point B?
(c) At what velocity does the block leave the track?
A block is set into motion up an inclined plane (30° ) with an initial speed of 8.0 m/s. There is
friction between the block ant the plane. The block comes to rest after traveling 4.8 m along
the plane.
V =8 m/s
What is the value of the coefficient of friction u?
HINT: remember that the friction force is given by
f = µN = µ =
N
thus because both f and the N are proportional to the mass of the block m, m cancels out and
you don't need it to find u. Thus you wont be able to find a value for f or N alone, so find your
acceleration first, then an equation for u that is independent of m.
A skateboarder with mass m, = 44 kg is standing at the top of a ramp which is h, = 3.9 m above the ground. The
skateboarder then jumps on his skateboard and descends down the ramp. His speed at the bottom of the ramp is v= 6.7 m/s.
Part (b) The ramp makes an angle e with the ground, where 0= 30°. Write an expression for the magnitude of the friction force, fr.
between the ramp and the skateboarder.
F;=
cos(e)
sin(0)
8
9
HOME
d
1 2
3
hy
m.
+
END
Vf
vol BACKSPACE
CLEAR
Part (c) When the skateboarder reaches the bottom of the ramp, he continues moving with the speed vonto a flat surface covered with
grass. The friction between the grass and the skateboarder brings him to a complete stop after 5.00 m. Calculate the magnitude of the friction force,
Fgras: in newtons, between the skateboarder and the grass.
Fgras:=
Chapter 2 Solutions
Classical Dynamics of Particles and Systems
Ch. 2 - Prob. 2.1PCh. 2 - Prob. 2.2PCh. 2 - If a projectile is fired from the origin of the...Ch. 2 - A clown is juggling four balls simultaneously....Ch. 2 - A jet fighter pilot knows he is able to withstand...Ch. 2 -
In the blizzard of ’88, a rancher was forced to...Ch. 2 - Prob. 2.7PCh. 2 - A projectile is fired with a velocity 0 such that...Ch. 2 - Consider a projectile fired vertically in a...Ch. 2 - Prob. 2.11P
Ch. 2 - A particle is projected vertically upward in a...Ch. 2 -
A particle moves in a medium under the influence...Ch. 2 - A projectile is fired with initial speed 0 at an...Ch. 2 -
A particle of mass m slides down an inclined...Ch. 2 - A particle is projected with an initial velocity 0...Ch. 2 - A strong softball player smacks the ball at a...Ch. 2 - Prob. 2.19PCh. 2 - A gun fires a projectile of mass 10 kg of the type...Ch. 2 - Prob. 2.21PCh. 2 - Prob. 2.22PCh. 2 - A skier weighing 90 kg starts from rest down a...Ch. 2 - A block of mass m = 1.62 kg slides down a...Ch. 2 - A child slides a block of mass 2 kg along a slick...Ch. 2 - A rope having a total mass of 0.4 kg and total...Ch. 2 - A superball of mass M and a marble of mass m are...Ch. 2 - An automobile driver traveling down an 8% grade...Ch. 2 - A student drops a water-filled balloon from the...Ch. 2 - Prob. 2.31PCh. 2 - Two blocks of unequal mass are connected by a...Ch. 2 - A particle is released from rest (y = 0) and falls...Ch. 2 - Perform the numerical calculations of Example 2.7...Ch. 2 - Prob. 2.36PCh. 2 - A particle of mass m has speed υ = α/x, where x is...Ch. 2 - The speed of a particle of mass m varies with the...Ch. 2 - A boat with initial speed υ0 is launched on a...Ch. 2 - A train moves along the tracks at a constant speed...Ch. 2 - Prob. 2.42PCh. 2 - Prob. 2.45PCh. 2 - Prob. 2.46PCh. 2 - Consider a particle moving in the region x > 0...Ch. 2 - Prob. 2.48PCh. 2 - Prob. 2.49PCh. 2 - According to special relativity, a particle of...Ch. 2 - Let us make the (unrealistic) assumption that a...Ch. 2 - A particle of mass m moving in one dimension has...Ch. 2 - A potato of mass 0.5 kg moves under Earth’s...Ch. 2 - Prob. 2.55P
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, physics and related others by exploring similar questions and additional content below.Similar questions
- A block is set into motion up an inclined plane (30° ) with an initial speed of 8.0 m/s. There is friction between the block ant the plane. The block comes to rest after traveling 4.8 m along the plane. V% =8 m/s What is the value of the coefficient of friction u? HINT: remember that the friction force is given by thus because both f and the N are proportional to the mass of the block m, m cancels out and you don't need it to find u. Thus you wont be able to find a value for f or N alone, so find your acceleration first, then an equation for µ that is independent of m.arrow_forwardA 70-pound object is thrown upward with an initial velocity of 45 ft/s along a plane inclined 25 ° from the horizontal, as shown in Figure. The coefficient of friction between the plane and the object is 0.15. Determine: a) The maximum distance that it will climb on the inclined plane. b) The speed of the object when it returns to the starting point. p/s = ft/sarrow_forwardA skateboarder with mass m, = 44 kg is standing at the top of a ramp which is h, = 3.9 m above the ground. The skateboarder then jumps on his skateboard and descends down the ramp. His speed at the bottom of the ramp is v= 6.7 m/s. Part (b) The ramp makes an angle e with the ground, where 0 = 30°. Write an expression for the magnitude of the friction force, f, between the ramp and the skateboarder. cos(e) sin(e) 8 HOME a 5 6 1 2 3 h, P . END m, + Vf vol BACKSPACE CLEAR Part (c) When the skateboarder reaches the bottom of the ramp, he continues moving with the speed vfonto a flat surface covered with grass. The friction between the grass and the skateboarder brings him to a complete stop after 5.00 m. Calculate the magnitude of the friction force, Fgras; in newtons, between the skateboarder and the grass. Fgrazs =arrow_forward
- A body of mass m starts down from the top of an inclined plane 20 ft long and 10 ft high. What is its velocity at a point 12 ft from the top if the coefficient of friction is 0.1?arrow_forwardA 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.Determine the speed of the block after it has traveled 1.60 mm along the plane, starting from rest. Assume the coefficient of friction between all surfaces is μμmu = 0.0320. 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.arrow_forwardA 12 kg box is released from the top of an incline that is 5 m long and makes an angle of 40 degrees to the horizontal. The friction force between the box and the incline is 60 N. What is the coecient of kinetic friction µk between the box and the incline?arrow_forward
- 1 kg is released from height h, = 12 m. Its path is without 1) In Figure, a block with mass m = friction until it reaches the path with first length d,= 2 m, where the friction force between B and C is f = 8 N, and until it reaches the path, where the friction force between E and F is f, = 6 N. The height is h, = 1 m, and second horizontal length is d, = 1 m. The block continues its motion after the point F. |(a) Find the velocity at the point A. (b) Find the velocity at the point D. (c) Find the height h if the velocity of m is vp = 8 m/s at the point F.(sin60=0.86 g=9.8 m/s²) d,=1 m h, = 12 m 60° E d,=2 m h, =1 m A В -------->arrow_forwardYour answer is partially correct. The stories of a tall building are uniformly 13.0 feet in height. A ball A is dropped from the rooftop position shown. Determine the times required for it to pass the 13.0 feet of the first, tenth, and one-hundredth stories (counted from the top). Neglect aerodynamic drag. 13.0¹ Answers: The time to pass the 13.0 feet of the first floor tenth floor t= 0.899 t= i 2.84 one-hundreth floor t= 8.99 sec sec secarrow_forwardIn Figure, a block with mass m = 1 kg is released from height h1= 12 m. Its path is without friction until it reaches the path with first length d1= 2 m, where the friction force between B and C is fs1= 8 N, and until it reaches the path, where the friction force between E and F is fs2= 6 N. The height is h2=1 m, and second horizontal length is d2= 1 m. The block continues its motion after the point F.(a) Find the velocity at the point A.(b) Find the velocity at the point D.(c) Find the height h if the velocity of m is vF= 8 m/s at the point F.(sin60=0.86 g=9.8 m/s2)arrow_forward
- A block is projected up a frictionless inclined plane with initial speed vo = 1.54 m/s. The angle of incline is 0 = 41.6°. (a) How far up the plane does it go? (b) How long does it take to get there? (c) What is its speed when it gets back to the bottom? (a) Number i Units (b) Number i Units (c) Number i Unitsarrow_forwardThe skateboarder starts down the left side of the ramp with an initial speed of 6.3 ft/s. If nonconservative forces, such as kinetic friction and air resistance, are negligible, what would be the height "h" of the highest point (in meters) reached by the skateboarder on the right side of the ramp?arrow_forwardA block is sent up an incline with a velocity of 3.51 m/s. Assume there is no friction between the incline and the block. The angle is at an incline of 31.1 degrees with the horizontal. A) How far up the incline does the block go? B) How long does it take to get there? C) What is it's speed when it gets back to the bottom?arrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
- College PhysicsPhysicsISBN:9781305952300Author:Raymond A. Serway, Chris VuillePublisher:Cengage LearningUniversity Physics (14th Edition)PhysicsISBN:9780133969290Author:Hugh D. Young, Roger A. FreedmanPublisher:PEARSONIntroduction To Quantum MechanicsPhysicsISBN:9781107189638Author:Griffiths, David J., Schroeter, Darrell F.Publisher:Cambridge University Press
- Physics for Scientists and EngineersPhysicsISBN:9781337553278Author:Raymond A. Serway, John W. JewettPublisher:Cengage LearningLecture- Tutorials for Introductory AstronomyPhysicsISBN:9780321820464Author:Edward E. Prather, Tim P. Slater, Jeff P. Adams, Gina BrissendenPublisher:Addison-WesleyCollege Physics: A Strategic Approach (4th Editio...PhysicsISBN:9780134609034Author:Randall D. Knight (Professor Emeritus), Brian Jones, Stuart FieldPublisher:PEARSON
College Physics
Physics
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Cengage Learning
University Physics (14th Edition)
Physics
ISBN:9780133969290
Author:Hugh D. Young, Roger A. Freedman
Publisher:PEARSON
Introduction To Quantum Mechanics
Physics
ISBN:9781107189638
Author:Griffiths, David J., Schroeter, Darrell F.
Publisher:Cambridge University Press
Physics for Scientists and Engineers
Physics
ISBN:9781337553278
Author:Raymond A. Serway, John W. Jewett
Publisher:Cengage Learning
Lecture- Tutorials for Introductory Astronomy
Physics
ISBN:9780321820464
Author:Edward E. Prather, Tim P. Slater, Jeff P. Adams, Gina Brissenden
Publisher:Addison-Wesley
College Physics: A Strategic Approach (4th Editio...
Physics
ISBN:9780134609034
Author:Randall D. Knight (Professor Emeritus), Brian Jones, Stuart Field
Publisher:PEARSON
Conservative and Non Conservative Forces; Author: AK LECTURES;https://www.youtube.com/watch?v=vFVCluvSrFc;License: Standard YouTube License, CC-BY