6. Find the work done by the force F = (2xy – 3)i +x²jin moving an object from (1,0) to (0, 1) along each ofthe three paths shown:y(0, 1).(a) straight line,(b) circular are,(c) along lines parallel to the axes.(1, 0)

(a) The object is moving from the point (1, 0) to (0, 1). The line joining these points can be…

Answered: 6. Find the work done by the force F =…

Principles of Physics: A Calculus-Based Text

5th Edition

ISBN:9781133104261

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter6: Energy Of A System

Section: Chapter Questions

Problem 10OQ

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The force F(x) varies with position, as shown beolow Find the work done by this force on a particle as It moves from x=1.0 m to x=5.0 m.
As a young man, Tarzan climbed up a vine to reach his tree house. As he got older, he decided to build and use a staircase instead. Since the work of the gravitational force mg is path Independent, what did the King of the Apes gain in using stairs?
The surface of the preceding problem is modified so that the coefficient of kinetic friction is decreased. The same horizontal force is applied to the crate, and after being pushed 8.0 m, its speed is 5.0 m/s. How much work is now done by the force of friction? Assume that the crate starts at rest.
Give an example of a situation in which there is a force and a displacement, but the force does no work. Explain why it does no work.
A mouse of mass 200 g falls 100 m down a vertical mine shaft and lands at the bottom with a speed of 8.0 m/s. During its fall, how much work is done on the mouse by air resistance?
A baseball of mass 0.25 kg is hit at home plate with a speed of 40 m/s. When it lands in a seat in the left-field bleachers a horizontal distance 120 m from home plate, it is moving at 30 m/s. If the ball lands 20 m above the spot where it was hit, how much work is done on it by air resistance?
A particle of mass 2.0 kg moves under the influence of the force F(x)=(5x2=7x)N . Suppose a frictional force also acts on the particle. If the particle’s speed when it starts at x=4.0 m is 0.0 m/s and when it arrives at x=4.0 m is 9.0 m/s, how much work is done on it by the frictional force between x=4.0 m and x=4.0 m?
Cite two examples in which a force is exerted on an object without doing any work on the object.
Does the work you do on a book when you lift it onto a shelf depend on the path taken? On the time taken? On the height of the shelf? On the mass of the book?
Consider a particle on which a force acts that depends on the position of the particle. This force is given by . Find the work done by this force when the particle moves from the origin to a point 5 meters to the right on the x-axis.
A worker pushes a wheelbarrow with a horizontal force of 50 N on level ground over a distance of 5.0 m. 11 a friction force of 43 N acts on the wheelbarrow in a direction opposite that of the worker, what work is done on the wheelbarrow by the worker? (a) 250 J (b) 215 (c) 35 J (d) 10 J (e) None of those answers is correct.
A 500-kg dragster accelerates from rest to a final speed of 110 m/s in 400 m (about a quarter of a mile) and encounters an average frictional force of 1200 N. What is its average power output in watts and horsepower if this takes 7.30s?

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6. Find the work done by the force F = (2xy – 3)i +x²j in moving an object from (1,0) to (0, 1) along each of the three paths shown: y (0, 1). (a) straight line, (b) circular are, (c) along lines parallel to the axes. (1, 0)