A particle of mass m moves along a frictionless, horizontal plane with a speed given by v(x)= a /x, where x is its distance from the origin and a is a positive constant. Find the force F(x) to which the particle is subject.

A particle of mass m moves along a frictionless, horizontal plane with a speed given by v(x)= a /x, where x is its distance from the origin and a is a positive constant. Find the force F(x) to which the particle is subject.

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 2.37P: A particle of mass m has speed υ = α/x, where x is its displacement. Find the force F(x)...

See similar textbooks

Related questions

Q: An object of mass m is moving along the z-axis according to z(t)=αt^2+βt+γ, where the coefficients…

Q: A particle of mass 1.3 kg is subject to a force that is always pointed towards the East but whose…

Q: A 3 kg object moves along an x axis according to x (t) = 9 + 8 t + 7 t 2 +9 t 3, with x in meters…

Q: e figure shows a block of mass M hanging at rest. The light wire fastened to the wall is horizontal…

A: For equilibrium net force acting on the system must be zero and horizontal as well as vertical…

Q: a large cruise ship of mass 6.50 x10 ^2 has a speed of 12m/s at some instant. what is the magnitude…

Q: A particle of mass 1.06 kg begins at rest and is then subject to a force in the positive x direction…

Q: A skier moving at 4.23 m/sm/s encounters a long, rough, horizontal patch of snow having a…

Q: A man pushing a crate of mass m = 92.0 kg at a speed of v = 0.880 m/s encounters a rough horizontal…

Q: A particle of mass m traveling horizontally with initial speed v0 encounters a dissipative force f…

A: Hello. Since your question has multiple sub-parts, we will solve first three sub-parts for you. If…

Q: An object with a mass of 1.76 kg is initially at rest upon a horizontal, frictionless surface. An…

A: Mass = 1.76 kg Force = 3.04 N Time = 2.08 sec Velocity =?

Q: A system of two blocks is accelerated by an applied force of magnitude F on the frictionless…

A: Given data: Mass of left block is, m1=3 kg. Mass of right block is, m2=5 kg.

Q: A man pushing a crate of mass m = 92.0 kg at a speed of v = 0.855 m/s encounters a rough horizontal…

A: Mass, m = 92.0 kg Speed, v = 0.855 m/s Length ℓ = 0.65 m Coefficient of kinetic friction, μ = 0.357…

Q: In Figure, a block with mass m = 1 kg is released from height h1= 12 m. Its path is without friction…

Q: Two blocks are connected by a massless, stretchless rope passing over a massless, frictionless…

Q: An object with mass m 10kg is pulled by a string with a force F with magnitude 20N at 300 above…

Q: Under the influence of its drive force, a snowmobile is moving at a constant velocity along a…

A: Given : m=150 kg F=204 N u=4.01 m/s

Q: A 2.0 kg object has a velocity of 4.0f m/s at t = 0. A constant resultant force of (2.0î + 4.0f ) N…

A: According to second equation of motion v=u+at

Q: A delivery cart is to be pushed from Point A with velocity of 10 m/sec to Point B with velocity of…

Q: In space v = (-5) ux + (-3) uy + (4) uz [m / s] speed moving q = 4 [C] load, E = (5) ux + (10) uy +…

A: Given: q=4Cv→=-5 u^x -3u^y +4u^zE→=5 u^x +10u^y + 7u^z B→=8 u^x + 9u^y +4u^z

Q: A drone is being directed across a frictionless ice covered lake. The mass of the drone is 1.50 kg,…

Q: A 3.0 kg puck slides due east on a horizontal frictionless surface at a constant speed of 4.5 m/s.…

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: Which velocity is equal to zero when an object is fired vertically upward and reached its maximum…

A: ANSWER 1) c. Instantaneous velocity As body going upwards and reaches its maximum the its…

Q: A package of mass 56 kg is pushed up a ramp with a horizontal force of 450 N. The length of the ramp…

Q: A skydiver is at an altitude of 1520 m. After 10.0 seconds of free fall, he opens his parachute and…

A: a) The expression for the net force acting on the body will be,

Q: Given are 4 points in space: (x,y,z) A(3,2,3) B(0,1,4) C(2,4,1) D(0,5,4) The line of action of force…

Q: An object of mass 380 kg is sliding on a track. From A to B, the track is frictionless. From B to C…

Q: A 0.150 kg particle moves along an x-axis according to x(t)=-13.00 + 2.00t + 4.00 t^2-3.00t^3, with…

A: The acceleration of the particle at the given time is,

Q: A block of mass 13 kg is given an initial speed of 12 m/s, after which it slides across a horizontal…

A: initial speed = 12 m/s d = 18 m mass = 13 kg

Q: A 0.260 kg particle moves along an x axis according to x(t) = - 10.0 + 3.00 t + 4.00 t² - 6.00 t³,…

Q: In the figure, a crate of mass m = 100 kg is pushed at constant speed up a frictionless ramp (0 =…

A: The force acting on te crate are gravitational force, horizontal force and the normal force.

Q: A fish of mass 1kg is lying still on an inclined plane at 3o degrees above the horizontal. the…

A: Gien, a fish of mass m=1 kg is lying still on an inclined plane at θ=3o degrees above the…

Q: The force acting on a particle P of mass m in the plane is given as a function of time t by F = cost…

A: Let (x, y) denotes the position at time t, (x0, y0) denotes the initial position, v denotes the…

Q: A 75-kg snowboarder has an initial velocity of 5.0 m/s at the top of a 28 degree incline. After…

A: Free body diagram is ∑Fy=FN-mgcosθ=0 FN=mgcosθ∑Fx=mgsinθ-Ffriction=ma ma= mgsinθ-μkFN…

Q: 1. (1) A particle of mass 5 kg moves so that its position vector after / seconds is r = [(cos2t)i +…

A: The fundamental equations of kinematics ar:

Q: For t < 0, an object of mass m experiences no force and moves in the positive x direction with a…

A: It is given that,

Q: A package of mass 56 kg is pushed up a ramp with a horizontal force of 450 N. The length of the ramp…

Q: For t< 0, an object of mass m experiences no force and moves in the positive x direction with a…

A: a. the speed of the object from the given data can be expressed as,…

Q: The crate, which has a mass of 100 kg, is subjected to the action of the forces. If it is originally…

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: Given that - mass of the crate velocity length coefficient of the kinetic friction constant…

Q: A particle of mass 8.0 kg moves along the horizontal x-axis. In the x direction the only force…

A: The area under the force-position represents the work done. Determine the work done at a position…

Q: According to a simplified model of a mammalian heart, at each pulse approximately 20 gg of blood is…

A: Answer:- Mass of blood (m) = 20 g = 20/1000 = 0.02 kg Initial velocity (u) = 0.22 m/s Final…

Q: An object of mass m is being affected by the force F = kix, Wwhere k is a positive constant. The…

Q: A block of weight W is pulled along a horizontal surface at constant speed v by a force F, which…

Q: A block with mass m = 6 kg is being pulled on a frictionless horizontal surface by a force F a…

A: Mass = m = 6kg Force = F = 10 N initial velocity = 2 m/ s Final velocity = 5 m/s

Q: A 0.35 kg particle moves in an xy plane according to x(t) = - 17 + 1 t - 5 t3 and y(t) = 18 + 5 t -…

Concept explainers

Electric Charges and Fields

One of the fundamental properties is the electromagnetic property. Charge cannot be destroyed by any process and this contributes formally to the law of charge conservation.

Question

A particle of mass m moves along a frictionless, horizontal plane with a speed given by
v(x)= a/x, where x is its distance from the origin and a is a positive constant. Find the force
F(x) to which the particle is subject.
2.6

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

VIEW

Step 2

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 2 steps with 2 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

A particle of mass m moves along a frictionless, horizontal plane with a speed given byv(x) = a/x, where xis its distance from the origin and ais a positive constant. Find the forceF(s) to which the particle is subject.
A 3.5 kg particle moves along an x axis according to x(t) = −12 + 5t2 − 4t3, with xin meters and t in seconds. In unit-vector notation, what is the net force acting on theparticle at t = 6 s?
A particle of mass m has speed υ = α/x, where x is its displacement. Find the force F(x) responsible.
Let us make the (unrealistic) assumption that a boat of mass m gliding with initial velocity v0 in water is slowed by a viscous retarding force of magnitude bv2, where b is a constant, (a) Find and sketch v(t). How long does it take the boat to reach a speed of v0/l000? (b) Find x(t). How far does the boat travel in this time? Let m = 200 kg, v0 = 2 m/s, and b = 0.2 Nm-2s2.
Suppose that a projectile of mass m moves in a verticalplane in the atmosphere near the surface of the earth underthe influence of two forces: a downward gravitationalforce of magnitude mg, and a resistive force FR that isdirected opposite to the velocity vector v and has magnitudek v2 (where v = |v| is the speed of the projectile;see Fig. 4.1.15). Show that the equations of motion of theprojectile are mx'' = -kvx' , my'' = -kvy' -mg,
The magnitudes of the three forces are F1 = 1.6kN,F2 = 1.2kN and F3= 1.0kN. Compute their resulatant in the form (a) R=Rxi + Ryj+Rzkl and (b) R=Rλ
In the figure, a body with a mass of 2 kg moves under the influence of two constant forces F1 = 5N and F2 = 4N in the xy plane. At time t = 0, the object is at point 0 and its speed is V = 2i + j (m / s). What is the acceleration of the particle and its position after 2 seconds in terms of the unit vector?
If there are no non-conservative forces to worry about, what is the magnitude of the applied force needed to keep an object moving at a constant velocity? Assume the mass of the object is m and its velocity is v.
A skydiver is at an altitude of 1520 m. After 10.0 seconds of free fall, he opens his parachute and finds that the air resistance, FD , is given by the formula FD = −bv, where b is a constant and v is the velocity. If b = 0.750, and the mass of the skydiver is 82.0 kg, first set up differential equations for the velocity and the position, and then find: (a) the speed of the skydiver when the parachute opens, (b) the distance fallen before the parachute opens, (c) the terminal velocity after the parachute opens (find the limiting velocity), and (d) the time the skydiver is in the air after the parachute opens.
A 2.0 kg projectile with initial velocity v→ = 6.5i m/s experiences the variable force F→ = -2.0ti +4.0t2j N, where t is in s. What is the projectile's speed at t = 2.0 s? Also, at what instant of time is the projectile moving parallel to the y-axis?
A particle, which remains at rest, is acted on by three forces F, G and H. The force F has magnitude 16N and is directed to the right and down, making an angle of 50 degrees with the horizontal. The force G has magnitude 7N and is directed to the left and down, making an angle of 50 degrees with the horizontal. Find the magnitude of the vector H, and the acute angle it makes with the horizontal. Give the magnitude to one decimal place and the angle to the nearest degree. What is the magnitude of H and what is the acute angle H makes with the horizon?
A particle with a mass of 10 kg is moving at a velocity of (3t^2 + 4t)j m/s. What would be the expression for the external net force F(t) being applied to the particle? Note: i and j are unit vectors