A 9.00-kg particle moves from the origin to position O, having coordinates x = 4.50 m and y = 4.50 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 8 = F - AF), calculate the work done by the gravitational force in going from O to © along the following paths. y (m) (x, y) x (m) (a) the purple path (oO© (b) the red path (OB© (c) the blue path (O© (d) Your results should all be identical, Why?

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.

An object is subjected to a friction force with magnitude 6.60 N, which acts against the object's velocity. What is the work (in J) needed to move the object at constant speed for the following routes? у (m) В (5.00, 5.00) x (m) A (a) the purple path O to A followed by a return purple path to O (b) the purple path O to C followed by a return blue path to O the blue path O to C followed by a return blue path to O (d) Each of your three answers should be nonzero. What is the significance of this observation? O The force of friction is a conservative force. O The force of friction is a nonconservative force.

The force exerted by an electric charge at the origin on a charged particle at the point (æ, y, z) is F(7) KT where K is constant. (x, y, z) with position vector Assume K = 30. Find the work done as the particle moves along a straight line from (3,0,0) to (3,4,5)

2. A particle moves along line segments from the point (2,0,0) to the points (2,2, 2), (0,2,2), and back to (2,0,0) under the influence of the force field F(x, y, z)= 2e'i+(3z + 4x)j+(y+3x)k Find the work done.

The vector v=ai+bj is parallel to the line bx−ay=c. Use this fact to find an equation for the line through P parallel to v. Then draw a sketch of the​ line, including v as a vector starting at the origin.  ​P(2​,1​), v=−2i−j How much work does it take to slide a crate 29 m along a loading dock by pulling on it with a 220​-N force at an angle of 28° from the​ horizontal?  ​(Round to the nearest whole number as​ needed.)

Given: A shopper pushes a grocery cart for a distance 21 m at constant speed on level ground, against a 37.5 N frictional force. He pushes in a direction 22.5° below the horizontal. What is the work done on the cart by friction, in joules?  What is the work done on the cart by the gravitational force, in joules?  What is the work done on the cart by the shopper, in joules?  Find the magnitude of the force, in newtons, that the shopper exerts on the cart.  What is the total work done on the cart, in joules?

The force F = (6.82 N)i + (4.75 N)j acts on a particle as it moves along a straight line from Cartesian coordinate (0.77 m, 1.58 m) to (7.38 m, 8.37 m). What is the work done, in joules, by the force?

16-2. A block of mass 2.56 kg is pushed 2.00 m along a frictionless horizontal table by a constant16.5 N force directed 25.3◦ below the horizontal. Determine the work done by (a) theapplied force, (b) the normal force exerted by the table, (c) the force of gravity, and (d) thenet force on the block.Brainstorm ideas that will help you solve this problem(a) Determine the work done by the applied force.(b) Determine the work done by the normal force exerted by the table.(c) Determine the work done by the force of gravity.(d) Determine the work done by the net force on the block.       my understanding is that work is equal to force times displacment. I figured that a) is 33 j and since b) and c) the object doesn't move up or down it is 0. However I am not certain. Please help!

The force F = (5.89 N)i + (7.5 N)j acts on a particle as it moves along a straight line from Cartesian coordinate (1.77 m, 1.31 m) to (8.81 m, 8.03 m). 1. What is the work done, in joules, by the force?