Physics/Math
posted by Technoboi11 .
What work is done by a force (in newtons) F = 3.1xi + 3.1j, with x in meters, that moves a particle from a position r1 = 2.1i + 2.5j to r2 =  4.9i 3.9j?
For Further Reading
* Physics/Math  bobpursley, Thursday, March 1, 2007 at 6:27am
Work is the dot product of Force and displacement.
Change in displacement is r2 minus r1. I will be happy to critique your work on this.
Rememeber dot product is a scalar, the sum of i component times i component plus j component times j component etc.
>>>>>>>>>>>>>>>>>>>>>>>>>>>
Here is what I did:
W1=integral of Fxdx = integral (3.1x)dx
= 1.55x^2 evaluated at x2=4.9 and x1=2.1.
= [(1.55(4.9)^2)(1.55(2.1)^2)]
= 30.38 J
W2=integral of Fydy = integral (3.1)dy
= 3.1[(3.9)(2.5)]
= 19.84 J
Wnet = W1+W2
Wnet = 30.3819.84
Wnet = 11 J
Is this correct???
The procedure you set up is correct. I don't have a calculator here, so I didn't check math.
What is wrong with my thinking here???
I got the right answer...stupid careless error on my behalf.
The only thing I see "wrong" is the 11 J is a rounded number.
Respond to this Question
Similar Questions

Physics/Math
What work is done by a force (in newtons) F = 3.1xi + 3.1j, with x in meters, that moves a particle from a position r1 = 2.1i + 2.5j to r2 =  4.9i 3.9j? 
Re: Physics/Math
A single force acts on a 5.0 kg particlelike object in such a way that the position of the object as a function of time is given by x = 3.0t  4.0t 2 + 1.0t 3, with x in meters and t in seconds. Find the work done on the object by … 
Re: Physics/Math
What work is done by a force (in newtons) F = 3.1xi + 3.1j, with x in meters, that moves a particle from a position r1 = 2.1i + 2.5j to r2 =  4.9i 3.9j? 
physics
A particle moves along the axis under the influence of a variable force = 6.8 + 4.4 where the force is measured in Newtons and the distance in meters. What is the potential energy associated with this force at = 4.0 m? 
physics
A particle moves along the axis under the influence of a variable force = 6.8x^2 + 4.4x where the force is measured in Newtons and the distance in meters. What is the potential energy associated with this force at = 4.0 m? 
Physics
A single conservative force acts on a 5.00 kg particle. The equation Fx = (2x + 4) N describes this force, where x is in meters. As the particle moves along the x axis from x = 1.40 m to x = 5.80 m, calculate the following. (a) the … 
Integrated Physics and Science
A crowbar is used as a lever. The effort force of 40 newtons moves 3 meters. The resistance force of 54 newtons moves 2 meters. What is the efficiency of the lever? 
physics
a particle is subject to a force fx that varies with a position shown in figure P 7.15.find the work done by the force on the particle as it moves (a)from x=0 to x=5.00,(b)from 5.00m to 10.0 m,(c)from x=10.0 to x=15.0 m.(d) what is … 
General Physics
A force Fx acts on a particle. The force is related to the position of the particle by the formula Fx = (5.9 N/m3) x3. Find the work done by this force on the particle as the particle moves from x = 0.9 m to x = 22 m. Answer in units … 
Physics
The force on a particle is directed along an x axis and given by F = 1.7(x/2.8  0.95) where x is in meters and F is in Newtons. Find the work done by the force in moving the particle from x = 0 to x = 6.9 m.