The problem involves finding the work done by a force on a particle directed along the x-axis. The force is given by the equation:\[ F = F_0 \left(\frac{x}{x_0} - 1\right) \]where:- \( x \) is the position in meters,- \( F \) is the force in Newtons,- \( F_0 = 1.4 \, \text{N} \),- \( x_0 = 2.3 \, \text{m} \).The task is to calculate the work done by this force in moving the particle from \( x = 0 \) to \( x = 2x_0 \).Below the problem statement, there is an interactive box for entering the numerical solution with a dropdown menu to select the units.

Name: The problem involves finding the work done by a force on a particle d
Uploaded: 2024-03-20T06:57:57.000Z
Channel: Bartleby
Description: The problem involves finding the work done by a force on a particle directed along the x-axis. The force is given by the equation:\[ F = F_0 \left(\frac{x}{x_0} - 1\right) \]where:- \( x \) is the position in meters,- \( F \) is the force in Newtons

Science

Physics

The force on a particle is directed along an x axis and given by F = Fo(x/xo - 1) where x is in meters and Fis in Newtons. If Fo=1.4 N and xo = 2.3 m, find the work done by the force in moving the particle from x = 0 to x = 2x0 m. Number i Units <>

The force on a particle is directed along an x axis and given by F = Fo(x/xo - 1) where x is in meters and Fis in Newtons. If Fo=1.4 N and xo = 2.3 m, find the work done by the force in moving the particle from x = 0 to x = 2x0 m. Number i Units <>

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

See similar textbooks

Related questions

Q: 16. The force acting on a particle is F = (8x – 16), where Fis in newtons and x is in meters. (a)…

Q: A 2.5 kg object undergoes a displacement Ar=3.0 ml +3.5 mĵ-2.0 m k along a straight line. During the…

Q: 1. A force F = 3xî + 5yj, where F is in newtons and x and y are in meters, acts on an object as the…

A: Given F→=3x i ^ +5y j^displacement from x=0 to 4.52 so dispacement vectord→=(4.52-0) i^=4.52 i^…

Q: The force required to compress a non-standard spring as a function of displacement is given by the…

Q: The graph shows the x component of a force that acts on an object that moves on the x axis. The…

Q: A cable exerts a constant upward tension of magnitude 2.54 × 10“ N on a 2.40 x 10° kg elevator as it…

A: Work done=FdcosθF is tension force=2.54×104 Nd is vertical distance=3.10 mθ is angle between force…

Q: A physicist has been studying the effects of an unknown force. The work required to move an object…

A: The correct option is (4). i.e Kg m³ / s

Q: A block of weight w=35.0 N sits on a frictionless inclined plane, which makes an angle = 34.0 with…

Q: The dot product is an operation between two vectors and is a fundamental part of the definition of…

A: The vectors are given as,

Q: A physicist has been studying the effects of an unknown force. The work required to move an object…

Q: An object has a mass of 5.153 kg. Initially its velocity is 15.32 m/s. Three forces do work on the…

A: We have given: mass of object, m = 5.153 kg Initial velocity of object, u = 15.32 m/s Final velocity…

Q: The graph shows the xx component of a force that acts on an object that moves on the xx axis. The…

Q: A physicist has been studying the effects of an unknown force. The work required to move an object…

Q: A block of mass m = 3.1 kg is placed on a rough incline surface making an angle e = 13.5. with…

A: SOlution: Given that m = 3.1 kg angle = 13.5 degree coefficient of kinetic friction = 0.29

Q: The force required to compress a non-standard spring as a function of displacement is given by the…

A: Given F(x) = -A sin(bx) + kx where A = 25 N b = 11 rad/m k = 68 N/m Work done from x = 0 to x1…

Q: What is the total mechanical energy

A: Since there is no friction Total energy will conserved Total energy at A = Total energy at B

Q: A block of mass 2.50 kg is pushed to 2.20 m long along a frictionless horizontal table by a…

A: Given data, Mass of the block = 2.5 kg Displacement = 2.20 m Applied force = 15.1579 N Angle with…

Q: A 2.28 kg block is pushed 1.69 m up a ver- tical wall with constant speed by a constant force of…

A: Visualize the Problem:

Q: You have two vectors: A = 7.271 +3ĵ and B = 4î - 0.95ĵ + 12k. If vector A represents a force vector…

A: Solution: The work done by a force is given by the dot product of the force and displacement…

Q: A block of mass 15.0 kg is pulled up from rest on a rough incline. The pulling force F =100.0 N that…

Q: Determine the work done on the object

A: Given data: The non constant force applied on the object is: F=5x3-4x The work done on the object…

Q: (1) Suppose you lift a stone that has a mass of 5.1 kilograms off the floor onto a shelf that is 2.5…

A: According to question we need to find work done .

Q: A single conservative force acts on the a 5.0 kg object. The equation Fx = 2x + 4 describes the…

A: The given values are, m=5.0 kgFx=2x+4

Q: The force required to compress a non-standard spring as a function of displacement is given by the…

Q: particle moves in the x-axis from x = 12.8 m to x = 23.7 m under the influence of a force where…

Q: Starting from rest, a 5.40-kg block slides 3.40 m down a rough 30.0° incline. The coefficient of…

Concept explainers

Newton's Second Law

Newton’s laws of motion describe the relationship between the motion of an object and forces acting on it. Newton’s law of motion has two types as follows:

Topic Video

Question

The problem involves finding the work done by a force on a particle directed along the x-axis. The force is given by the equation:

\[ F = F_0 \left(\frac{x}{x_0} - 1\right) \]

where:
- \( x \) is the position in meters,
- \( F \) is the force in Newtons,
- \( F_0 = 1.4 \, \text{N} \),
- \( x_0 = 2.3 \, \text{m} \).

The task is to calculate the work done by this force in moving the particle from \( x = 0 \) to \( x = 2x_0 \).

Below the problem statement, there is an interactive box for entering the numerical solution with a dropdown menu to select the units.

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: Given data

VIEW

Step 2: Process

VIEW

Solution

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 3 steps with 6 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

The spring-flex exercise system consists of a spring with one end fixed and a handle on the other end. The idea is that you exercise your muscles by stretching the spring from its natural length, which is 38 cm. If a 170 Newton force is required to keep the spring stretched to a length of 52 cm, how much work is required to stretch it from 51 cm to 70 cm? Your answer must include the correct units. Work =
The force required to compress a non-standard spring as a function of displacement is given by the equationF(x) = -Asin(bx) + kx,where A = 11 N, b = 11 rad/m, and k = 78 N/m. Part (b) Calculate the work done in joules as the spring is compressed from x = 0 to x1 = 32 cm. Part (c) Calculate the work done in joules as the spring is compressed from x1 = 32 cm to x2 = 69 cm
(a) A force F= (2x1 + 4yĵ), where F is in newtons and x and y are in meters, acts on an object as the object moves in the /F. F. dr done by the force on the object (in J). x-direction from the origin to x = 4.63 m. Find the work W = J (b) What If? Find the work W = (4.63 m, 4.63 m) along a straight-line path making an angle of 45.0° with the positive x-axis. J F. dr done by the force on the object (in J) if it moves from the origin to Is the work done by this force dependent on the path taken between the initial and final points? dependent independent
SQU is trying a new particle accelerator design with a mechanical component using a spring that does not obey Hooke's law. When stretched/compressed x metres, it exerts a force of 39.6x+51.6x2 (a) Compute the work required to stretch the spring from x= 1.0 m to x 1.3 m.
Problem 2: A certain spring has a spring constant k₁ = 660 N/m as the spring is stretched from x = 0 to x1 = 35 cm. The spring constant then changes to k₂ = 250 N/m as the spring is stretched to x2= 65 cm. From x₂= 65 cm to x3 = 89 cm the spring force is constant at F3 = 105 N.
The force required to compress a non-standard spring as a function of displacement is given by the equation F(x) = -Asin(bx) + kx,where A = 17 N, b = 15 rad/m, and k = 72 N/m. Calculate the work done in joules as the spring is compressed from X1=25 cm to X2=66 cm
A physicist has been studying the effects of an unknown force. The work required to move an object distance x against this force is W = A + bx, where A and b are constants. What are the SI units of b? O kg/s? kg · m/s? O kg - m²/s² kg · m³/s? kg · m4/s² none of these
The force on a particle is directed along an x axis and given by F = F0(x/x0 - 1) where x is in meters and F is in Newtons. If F0 = 1.6 N and x0 = 4.6 m, find the work done by the force in moving the particle from x = 0 to x = 2x0 m.