A 4.2 kg particle moving along the x-axis is acted upon by the force whose functional form appears below. The velocity of the particle at x = 0 is v = 6.6 m/s. F (x) (N) 10.0 5.0 x (m) 2.0 6.0 8.0 -5.0 ---- --- -10.0

A 4.2 kg particle moving along the x-axis is acted upon by the force whose functional form appears below. The velocity of the particle at x = 0 is v = 6.6 m/s. F (x) (N) 10.0 5.0 x (m) 2.0 6.0 8.0 -5.0 ---- --- -10.0

Classical Dynamics of Particles and Systems

5th Edition

ISBN:9780534408961

Author:Stephen T. Thornton, Jerry B. Marion

Publisher:Stephen T. Thornton, Jerry B. Marion

Chapter2: Newtonian Mechanics-single Particle

Section: Chapter Questions

Problem 2.38P: The speed of a particle of mass m varies with the distance x as υ(x) = αx−n. Assume υ(x = 0) = 0 at...

See similar textbooks

Related questions

Q: A 0.075 kg arrow is fired horizontally. The bowstring exerts an average force of 64.3 N on the arrow…

A: Let F denotes the average force, d denotes the distance over the force is applied, and W denotes the…

Q: A block of mass m1 =3 kg is on a table and attached to a block of mass m2 =4 kg m2 =4 kg by a mass…

A: Draw the free-body diagram of the mass m1.

Q: Assume that the force of a bow on an arrow behaves like the spring force. In aiming the arrow, an…

Q: A 60.0 kg skier with an initial speed of 15 m/s coasts up a 2.50 m high rise as shown in the figure.…

A: Given data- Mass of skier =60 kg Initial speed vi=15 m/s Height h=2.50 m Coefficient of kinetic…

Q: A 600 kg roller coa sters starts at A and moves to B and then to C under the influence of gravity…

Q: After the box in the figure has moved 3 meters from rest, the constant force P = 600 N is removed.…

A: A force was applied for 3m distance and then it was removed .

Q: Two objects are connected by a light string passing over a light, frictionless pulley. The 5.00-kg…

A: Conservation of energy states that the total mechanical energy of a system remains constant if the…

Q: what speed ? will he be going after 35.0 m ?

A: force=1.10×103 Npushing force=805 Ndistance, x=35 mmass=90 kg

Q: A constant net force of 60.0 N acts on an object initially at rest and acts through a parallel…

Q: How far from the table will the block hit the floor?Answer in meters

Q: A block of mass m¡ = 20.0 kg is connected to a block of mass m,= 30.0 kg by a massless string that…

A: The KE of a spring can be given by KE=12kx2 where k= spring constant, and x=displacement. Also, the…

Q: A boy pulls a bag of baseball bats across a ball field toward theparking lot. The bag of bats has a…

A: The acceleration is,

Q: a mother and her child are skiing together, and the mother is holding the end of a rope tied to the…

Q: Two forces, F, = (2.70î – 3.40j) N and F, = (3.70î – 7.80j) N, act on a particle of mass 2.10 kg…

A: F1 = 2.7 i - 3.4 j F2 = 3.7 i - 7.8 j mass, m = 2.1 kg

Q: is the final speed?

Q: A man pushing a crate of mass m = 92.0 kg at a speed of v = 0.860 m/s encounters a rough…

A: SOlution: Given that m = 92 kgv = 0.86 m/sL = 0.65 mcoefficient of friction = 0.36 F = 279 N

Q: Two objects are connected by a light string passing over a light, frictionless pulley. The 5.00-kg…

A: In the pulley system , before the object of mass m1=5 kg is released from rest , the only energy…

Q: Problem 2: The force F = (3.43 N)i + (4.66 N)j acts on a particle as it moves first along the x axis…

A: Given data: Force F→ =3.43 Ni^ + 4.66 Nj→ Initial position x1 = 1.59 m, y1 = 1.18 m Final position…

Q: A soccer ball with mass 0.470 kg is intially moving with speed 2.10 m/s. A soccer player kicks the…

A: The applied force is F=41.0 N and the mass of the ball is m=0.470 kg. Hence the acceleration,…

Q: A 60.0 kg skier with an initial speed of 16.5 m/s coasts up a 2.50 m high rise as shown in the…

Q: An object with a mass of 1.53 kg is initially at rest upon a horizontal, frictionless surface. An…

A: Mass of an object is,m= 1.53 kgThe object is initially at rest,vi = 0The applied force is,F =4.94…

Q: After the box in the figure has moved 3 meters from rest, the constant force P = 600 N is removed.…

A: Given Horizontal force = 600 N Coefficient of friction u = 0.2 Displacement S = 3 m

Q: Chapter 5,#6. A man pushing a crate of mass m = 92.0 kg at a speed of v = 0.870 m/s…

A: SOlution: m = 92.0 kg at a speed of v = 0.870 m/s encounters a rough horizontal surface of length…

Q: A bird is flying with a speed of 18.0(m)/(s ) over water when it accidentally drops a 2.00 Kg fish.…

Q: A 60.0 kg skier with an initial speed of 14 m/s coasts up a 2.50 m high rise as shown in the figure.…

A: Given:- mass m = 60 kg vi = 14 m/s h= 2.50 m the coefficient of friction between her skis and the…

Q: Whether or not an object (such as a plate, glass, or bone) breaks upon impact depends on the average…

A: Consider the initial speed of the glass figure be u0, that is zero because it falls from rest, its…

Q: An athlete jumping vertically on a trampoline leaves the surface with a velocity of 8.5 m/s upward.…

A: Given data: Initial velocity (v0) = 8.5 m/s, upward Required: Maximum height (hmax)

Q: A particle of mass 0.6 kg is acted upon by a force F varies with position x as shown in the figure.…

Q: A 8.00-kg block of ice is released from rest at the top of a 1.60-m long frictionless ramp, slides…

A: Given:mass of block, m = 8.0 kgLength of frictionless ramp, L = 1.6 mspeed of block at the bottom, v…

Q: A horizontal force of 80.0 N is applied to a 5.00 kg block as the block slides a distance of 0.800 m…

Q: An object of mass ?=8.9 kg is free to move on a horizontal surface without any friction. It is…

A: Given : mass of the object, m =8.9 kg Initial velocity, u = 0 m/s…

Q: A 60.0 kg skier with an initial speed of 13 m/s coasts up a 2.50 m high rise as shown in the figure.…

A: Write an expression using Newton’s second law of motion along the incline

Q: An 8.00 kg block of ice is released from rest at the top of a 1.50 m long friction less ramp and…

Q: An object of mass, m = 56 kg starts to slide from rest on a curved ramp from height, H = 37 m above…

A: (a). apply conservation of energy at the startin and end of the ramp. let v be the velocity of the…

Concept explainers

Static and Kinetic Friction

Kinetic friction comes into existence when there are moving surfaces means in other words we can say that the force which comes into existing between moving surfaces is known as kinetic friction.

Question

A 4.2 kg particle moving along the x-axis is acted upon by the force whose functional form appears below. The velocity of
the particle at x = 0 is v = 6.6 m/s.
F (x) (N)
10.0
5.0
x (m)
2.0
6.0
8.0
-5.0
---- ---
-10.0

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1

Step 2

Step 3

Step 4

Step 5

Step 6

Trending now

This is a popular solution!

Step by step

Solved in 6 steps with 7 images

SEE SOLUTION Check out a sample Q&A here

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

An athlete jumping vertically on a trampoline leaves the surface with a velocity of 8.5 m/s upward. What maximum height does she reach? (a) 13 m (b) 2.3 m (c) 3.7 m (d) 0.27 m (e) The answer cant be determined because the mass of the athlete isnt given.
A block of mass m1 =3 kg is on a table and attached to a block of mass m2 =4 kg m2 =4 kg by a mass less string. The coefficient of friction is 0.28 between the table and m1. The system is released from rest. After m2 falls 1.5 m,1.5 m, what is the speed of m2?
A force of {N} pushes a 16-kg shopping cart (parallel to a horizontal surface) for a time of 10 seconds. If the cart was initially at rest, what is the final speed?
A net (unbalanced) external force of 100.0 N acts on an object of mass 20.0 kg whose initial speed is 10.0 m/s. The force acts in the opposite direction from the object's motion, and it acts for 1.00 s. What is the object's final speed, in m/s?
An object with a mass of 1.53 kg is initially at rest upon a horizontal, frictionless surface. An applied force of 4.94 N i acts on the object for 2.2 s. What is the object's final speed?
A horizontal force of 80.0 N is applied to a 5.00 kg block as the block slides a distance of 0.800 m along a horizontal floor. The coefficient of kinetic friction between the floor and the block is 0.500. If the block is initially at rest, how fast is it moving at the end of the displacement?
A girl of mass m1=60.0 kilograms springs from a trampoline with an initial upward velocity of vi=8.00 meters per second. At height h=2.00 meters above the trampoline, the girl grabs a box of mass m2=15.0 kilograms. (Figure 1) For this problem, use g=9.80 meters per second per second for the magnitude of the acceleration due to gravity. What is the speed vbefore of the girl immediately before she grabs the box? Express your answer numerically in meters per second. What is the speed vafter of the girl immediately after she grabs the box? Express your answer numerically in meters per second. What is the maximum height hmax that the girl (with box) reaches? Measure hmax with respect to the top of the trampoline. Express your answer numerically in meters.
A force F= (-2Nm)xi+(4Nm2)x2j-8Nk and a second force F=(-4Nm2)x2j-8Nk are applied to a 4 kg object between x= 1m and x= 6m. If the objects initial velocity is Vi=(-.9)i+(1.2)j+(.8)k m/s what is the objects's speed when it hits 6m?
The only force acting on a 3.4 kg body as it moves along the positive x axis has an x component Fx = -7x N, where x is in meters. The velocity of the body at x = 3.0 m is 8.8 m/s. (a) What is the velocity of the body at x = 4.0 m? m/s (b) At what positive value of x will the body have a velocity of 5.0 m/s?
A force of 1.100×103 N pushes a man on a bicycle forward. Air resistance pushes against him with a force of 805 N . If he starts from rest and is on a level road, what speed ? will he be going after 35.0 m ? The mass of the bicyclist and his bicycle is 90.0 kg. 25.3 m/s 15.1 m/s 8.51 m/s 10.3 m/s
An object of mass, m = 56 kg starts to slide from rest on a curved ramp from height, H = 37 m above the end of the ramp (as shown in the figure). Consider the ramp to be frictionless and neglect the effects of air resistance. %3D %3D H send of (a) What is the speed of the object at the end of the ramp? (b) If the velocity of the object at the end of the ramp makes an angle 0 = 21° with the horizontal, what is maximum height, h of its jump above the end of the ramp?
Whether or not an object (such as a plate, glass, or bone) breaks upon impact depends on the average force exerted on that object by the surface. When a 2.5 kg glass figure hits the floor, it will break if it experiences an average force of 538 N. When it hits a tile floor, the glass comes to a stop in 0.020 s. From what minimum height (in m) must the glass fall to experience sufficient force to break? m How would your answer change if the figure were falling to a padded or carpeted surface? Explain. The duration of the collision would be shorter, so the average force for a given change in momentum would be more.The duration of the collision would be longer, so the average force for a given change in momentum would be less. The duration of the collision would be longer, so the average force for a given change in momentum would be more.The duration of the collision would be shorter, so the average force for a given change in momentum would be less.