= (2yî + x²j), where A force acting on a particle moving in the xy plane is given by position having coordinates x = 5.70 m and y = 5.70 m, as shown in the figure below. is in newtons and x and y are in meters. The particle moves from the origin to a final у (m) C) (x, y) х (m) (a) Calculate the work done by on the particle as it moves along the purple path (OO). (b) Calculate the work done by on the particle as it moves along the red path (OBO). (c) Calculate the work done by on the particle as it moves along the blue path (O0). (d) Is conservative or nonconservative? nonconservative conservative (e) Explain your answer to part (d).

= (2yî + x²j), where A force acting on a particle moving in the xy plane is given by position having coordinates x = 5.70 m and y = 5.70 m, as shown in the figure below. is in newtons and x and y are in meters. The particle moves from the origin to a final у (m) C) (x, y) х (m) (a) Calculate the work done by on the particle as it moves along the purple path (OO). (b) Calculate the work done by on the particle as it moves along the red path (OBO). (c) Calculate the work done by on the particle as it moves along the blue path (O0). (d) Is conservative or nonconservative? nonconservative conservative (e) Explain your answer to part (d).

Name: = (2yî + x²j), whereA force acting on a particle moving in the xy pla
Uploaded: 2024-03-20T06:57:25.000Z
Channel: Bartleby
Description: = (2yî + x²j), whereA force acting on a particle moving in the xy plane is given byposition having coordinates x = 5.70 m and y = 5.70 m, as shown in the figure below.is in newtons and x and y are in meters. The particle moves from the origin to a f

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: A 0.60-kg particle has a speed of 2.0 m/s at point A and a kine tic energy of7.5 J at point B. What…

Q: The diagram shows a crate with mass m = 38.2 kg being pushed up an incline that makes an angle φ =…

Q: A force is given by the vector F= (12 i + 10 j) N and moves from the point (4i + 3j)m to the point…

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

Q: A particle moves from ^ri = (1 m)ˆi + (5 m)ˆj to a position ^rf = −(2 m)ˆi − (8 m)ˆj due to a force…

A: Given, r→i=i+5jr→f=-2i-8jand F→=6xi+4j

Q: A force is given by the vector F = (3i+5j) N and moves from the point (2i+6j) m to the point (6i…

Q: A force is given byF=⟨3x2,2y−1⟩. Find the work done by this force as a particle moves…

A: Given data: The force component, F=<3x2, 2y-1> Initial position of the particle, si=(0,0)…

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: The force on a particle is directed along an x axis and given by F = Fo(x/xo - 1) where x is in…

A: The given force acting on the particle is given by the equation, F=Foxxo-1Fo and xo are constants,…

Q: A 3.5 kg block is placed on a surface inclined by θ = 11∘ as shown, and undergoes a horizontal force…

Q: A shopper in a supermarket pushes a cart with a force of 29 N directed at an angle of 25° below the…

A: It is given that, F=29 Nθ=25os=44 m

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

Q: A force F(x)=(3x² – 2x)N acts on a particle as the particle moves in the x-axis from x = 1m to x =…

A: F(x)= 3x2-2xNx= 1m to 2m Since the force is varying on this interval of x , work is calculated by…

Q: A force F, shown in the figure below acts on a particle moving along the y axis. Each unit on the…

A: The area under the force displacement graph is work done. a. Work done on the particle from A to B…

Q: A 0.800-kg particle has a speed of 1.60 m/s at point and kinetic energy of 7.70 J at point B . (a)…

A: Given,

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

Q: A 0.60-kg particle has a speed of 2.00 m/s at point (A) and kinetic energy of 7.5 J at point (B).…

Q: A single conservative force acts on a 5.30-kg particle within a system due to its interaction with…

Q: A 0.200-kg particle has a speed of 1.50 m/s at point and kinetic energy of 7.10 J at point Ⓡ. (a)…

A: Given Mass , m = 0.200 kg Speed at point A , VA = 1.50 m/s Kinetic energy at point B , KB = 7.10…

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: Find the work (in J) done by the force F (6 N/m)yî + (27 N/m)xĵ between the points A = (0, 0) and B…

Q: The force needed to stretch a spring by x meters is given by F(x) = 3.6x Newtons. How much work is…

Q: A force F→ in the positive direction of an x axis acts on an object moving along that axis. If the…

A: Let a force (F) in the positive direction of the x-axis act on an object moving along that axis. The…

Q: - A skateboarder is at the top of a frictionless ramp defined by the function y = r². The top of the…

Q: (a) A block with a mass m is pulled along a horizontal surface for a distance x by a constant force…

Q: A 9.00-kg particle moves from the origin to position O, having coordinates x = 4.50 m and y = 4.50 m…

Q: In the figure, a frictionless roller coaster car of mass m-992 kg tops the first hill with speed…

A: work done by a forcein this case the force isExplanationwork done by gravityBecause the automobile…

Q: A mountain climber is about to haul up a 90-m length of hanging rope. How much work will it take if…

A: The length of the hanging rope is 90 mweight of rope =0.65N/m

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

Q: A force F =4x^3i -6yj in N acts on an object that moves from the origin to 210 .48m in x and 508.13…

Q: In the force field defined by the vector, a particle moves from the x=y-y2 parapart A(-2,-1) point…

A: Force brings about motion and changes in it. Work done is defined as the product of force and…

Topic Video

Question

= (2yî + x²j), where
A force acting on a particle moving in the xy plane is given by
position having coordinates x = 5.70 m and y = 5.70 m, as shown in the figure below.
is in newtons and x and y are in meters. The particle moves from the origin to a final
у (m)
C)
(x, y)
х (m)
(a) Calculate the work done by
on the particle as it moves along the purple path (OO).
(b) Calculate the work done by
on the particle as it moves along the red path (OBO).
(c) Calculate the work done by
on the particle as it moves along the blue path (O0).
(d) Is
conservative or nonconservative?
nonconservative
conservative
(e) Explain your answer to part (d).

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

Trending now

This is a popular solution!

Step by step

Solved in 5 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

A body moves along a trajectory in the xy-plane from position r₁ to position r₂ = ₁ + dr =r₁ + dx î + dy ĵ. The work done on it by gravity is?
why is it negative?
The graph shows the xx component of a force that acts on an object that moves on the x axis. The vertical spacing between adjacent grid lines is 4.93N, while the horizontal spacing between adjacent grid lines is 1.0m. What is the work, in joules, done by the force as the object moves from x=4m to x=5m?
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
A force acting on a particle moving in the xy plane is given by F = (2yî + x²ĵ), where F is in newtons and x and y are in meters. The particle moves from the origin to a final position having coordinates x = 5.80 m and y = 5.80 m, as shown in the figure below. y (m) (x, y) x (m) (a) Calculate the work done by on the particle as it moves along the purple path (oⒸ). (b) Calculate the work done by F on the particle as it moves along the red path (0 BC) J O conservative (c) Is F conservative or nonconservative? nonconservative
A 58.1-kg skateboarder starts out with a speed of 2.03 m/s. He does 108 J of work on himself by pushing with his feet against the ground. In addition, friction does -243 J of work on him. In both cases, the forces doing the work are non-conservative. The final speed of the skateboarder is 7.89 m/s. (a) Calculate the change (PEf - PE0) in the gravitational potential energy. (b) How much has the vertical height of the skater changed? Give the absolute value.
A 7.00-kg particle moves from the origin to position ©, having coordinates x = 6.50 m and y = 6.50 m as shown in the figure. One force on the particle is the gravitational force acting in the negative y direction. Using the equation (W = FAr cos 0 = F · Ař), calculate the work done by the gravitational force in going from O to © along the following paths. у (m) B (х, у) x (m) (a) the purple path (o0©) (b) the red path (O®© (c) the blue path (O© (d) Your results should all be identical. Why? This answer has not been graded yet.
A force = (2xî+ 5yĵ), where F is in newtons and x and y are in meters, acts on an object as the object moves in the x direction from the origin to x = 5.17 m. Find the work w=f*dr done by the force on the object.
A rope pulls a 200 kg sleigh (which you may know) up a slope at incline angle θ = 30◦, through distance d = 20 m. The sleigh and its contents have a total mass of 200 kg. The snowy slope is so slippery that we take it to be frictionless. How much work is done byeach force acting on the sleigh?
An object moves in the x-y plane while acted on by the force F(x,y) = k1yi + k2xj, where k1 and k2 are constants with units of N/m. The object moves along a straight line path from Cartesian coordinate (x1, y1) to (x2, y2). Write an expression for the work done on the object by this force.