menu
bartleby
search
close search
Hit Return to see all results
close solutoin list

A force acting on a particle moving in the xy plane is given by F → = ( 2 y i ^ + x 2 j ^ ) , 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 = 5.00 m and y = 5.00 m as shown in Figure P7.31. Calculate the work done by F → on the particle as it moves along (a) the purple path, (b) the red path, and (c) the blue path, (d) Is F → conservative or nonconservative? (e) Explain your answer to part (d). Figure P7.31

BuyFindarrow_forward

Physics for Scientists and Enginee...

10th Edition
Raymond A. Serway + 1 other
Publisher: Cengage Learning
ISBN: 9781337553278

Solutions

Chapter
Section
BuyFindarrow_forward

Physics for Scientists and Enginee...

10th Edition
Raymond A. Serway + 1 other
Publisher: Cengage Learning
ISBN: 9781337553278
Chapter 7, Problem 33P
Textbook Problem
3199 views

A force acting on a particle moving in the xy plane is given by F = ( 2 y i ^ + x 2 j ^ ) , 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 = 5.00 m and y = 5.00 m as shown in Figure P7.31. Calculate the work done by F on the particle as it moves along (a) the purple path, (b) the red path, and (c) the blue path, (d) Is F conservative or nonconservative? (e) Explain your answer to part (d).

Figure P7.31

Chapter 7, Problem 33P, A force acting on a particle moving in the xy plane is given by F=(2yi+x2j), where F is in newtons

(a)

To determine

The amount of work done by the force along the purple path.

Explanation of Solution

The coordinates of point (C) is (5.00m, 5.00m) and the force acting on the body is F=2yi^+x2j^.

Along path OA the work is done is only in x direction.

Write the expression for the work done along OA

    WOA=05.00Fdxi^

Here, F is the force acting on the particle.

Substitute 2yi^+x2j^ for F in the above equation.

    WOA=05.00(2yi^+x2j^)dxi^=05.00(2y)dx

The value y along path OA is 0.

Substitute 0 for y in the above equation.

    WOA=05.00(2(0))dx=0J

Thus, work done along OA is 0J.

Write the expression for the work done along AC

    WAC=05.00Fdyj^

Substitute 2yi^+x2j^ for F in the above equation

(b)

To determine

The amount of work done by the force along the red path.

(c)

To determine

The amount of work done by the force along the blue path.

(d)

To determine

Whether F is conservative.

(e)

To determine

The reason for the force F is not a conservative force.

Still sussing out bartleby?

Check out a sample textbook solution.

See a sample solution

The Solution to Your Study Problems

Bartleby provides explanations to thousands of textbook problems written by our experts, many with advanced degrees!

Get Started

Chapter 7 Solutions

Physics for Scientists and Engineers
Show all chapter solutions
add
Ch. 7 - In 1990, Walter Arfeuille of Belgium lifted a...Ch. 7 - Spiderman, whose mass is 80.0 kg, is dangling on...Ch. 7 - For any two vectors A and B, show that...Ch. 7 - Vector A has a magnitude of 5.00 units, and vector...Ch. 7 - Find the scalar product of the vectors in Figure...Ch. 7 - Using the definition of the scalar product, find...Ch. 7 - A particle is subject to a force Fx that varies...Ch. 7 - In a control system, an accelerometer consists of...Ch. 7 - When a 4.00-kg object is hung vertically on a...Ch. 7 - Express the units of the force constant of a...Ch. 7 - The tray dispenser in your cafeteria has broken...Ch. 7 - A light spring with force constant 3.85 N/m is...Ch. 7 - A small particle of mass m is pulled to the top of...Ch. 7 - The force acting on a particle is Fx = (8x 16),...Ch. 7 - When different loads hang on a spring, the spring...Ch. 7 - A 100-g bullet is fired from a rifle having a...Ch. 7 - (a) A force F=(4xi+3yj), where F is in newtons and...Ch. 7 - Review. The graph in Figure P7.20 specifies a...Ch. 7 - A 0.600-kg particle has a speed of 2.00 m/s at...Ch. 7 - A 4.00-kg particle is subject to a net force that...Ch. 7 - A 2 100-kg pile driver is used to drive a steel...Ch. 7 - Review. In an electron microscope, there is an...Ch. 7 - Review. You can think of the workkinetic energy...Ch. 7 - You are lying in your bedroom, resting after doing...Ch. 7 - Review. A 5.75-kg object passes through the origin...Ch. 7 - Review. A 7.80-g bullet moving at 575 m/s strikes...Ch. 7 - A 0.20-kg stone is held 1.3 m above the top edge...Ch. 7 - A 1 000-kg roller coaster car is initially at the...Ch. 7 - A 4.00-kg particle moves from the origin to...Ch. 7 - (a) Suppose a constant force acts on an object....Ch. 7 - A force acting on a particle moving in the xy...Ch. 7 - Why is the following situation impossible? A...Ch. 7 - A single conservative force acts on a 5.0-kg...Ch. 7 - A potential energy function for a system in which...Ch. 7 - The potential energy of a system of two particles...Ch. 7 - For the potential energy curve shown in Figure...Ch. 7 - A right circular cone can theoretically be...Ch. 7 - The potential energy function for a system of...Ch. 7 - You have a new internship, where you are helping...Ch. 7 - When an object is displaced by an amount x from...Ch. 7 - A particle moves along the xaxis from x = 12.8 m...Ch. 7 - Why is the following situation impossible? In a...Ch. 7 - Review. Two constant forces act on an object of...Ch. 7 - (a) Take U = 5 for a system with a particle at...Ch. 7 - An inclined plane of angle = 20.0 has a spring of...Ch. 7 - An inclined plane of angle has a spring of force...Ch. 7 - Over the Christmas break, you are making some...Ch. 7 - A particle of mass m = 1.18 kg is attached between...

Additional Science Textbook Solutions

Find more solutions based on key concepts
Show solutions add
To answer nutrition questions. a. watch for articles that include phrases such as "Now we know" or "The answer ...

Nutrition: Concepts and Controversies - Standalone book (MindTap Course List)

Give the molecular formula for each of the following structural formulas.

General Chemistry - Standalone book (MindTap Course List)

Velocity is a(n) ___ quantity. (2.2)

An Introduction to Physical Science

List the major types of lipoproteins.

Chemistry for Today: General, Organic, and Biochemistry

A star has a spectral class M. What type of star could this be?

Foundations of Astronomy (MindTap Course List)

Echo sounders bounce sound off the seabed to measure depth. How does that work?

Oceanography: An Invitation To Marine Science, Loose-leaf Versin

A barnacle is a shelled _______. a. arthropod b. gastropod c. cephalopod d. crustacean

Biology: The Unity and Diversity of Life (MindTap Course List)