How much work is done by the lifting force?

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Homework Help Overview

The discussion revolves around the calculation of work done by a lifting force on an object, as well as related concepts such as work done by gravity, net work, and kinetic energy. The subject area includes mechanics, specifically the principles of work and energy in physics.

Discussion Character

  • Exploratory, Conceptual clarification, Mathematical reasoning

Approaches and Questions Raised

  • The original poster attempts to calculate the work done by a lifting force and questions the work done by gravity, suggesting it may be negative. There is confusion regarding net work and change in kinetic energy, with some participants offering corrections and alternative views on the calculations.

Discussion Status

Participants are actively engaging with the original poster's calculations, providing feedback and corrections. There is a mix of agreement and differing opinions on the interpretations of the work done and kinetic energy changes. Some participants suggest further exploration of the problem involving a varying force, indicating a need for additional information.

Contextual Notes

There is mention of a second problem involving a force that varies with position, with participants noting the need for more information to solve it. The original poster also refers to an image that may contain relevant details for this second problem.

tica86
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An object of mass 0.550 kg is lifted from the floor to a height of 3.50m at a constant speed.
Can someone please check my answers, thanks!

1) How much work is done by the lifting force?

(0.550kg)(9.80m/s^2)(3.50)=18.9J

2) How much work is done by the Earth on the object?
I was told it was 0 but I think it's -18.9J
because W=-mgh

3) What is the net work done on the object?
Again I was told it was 18.9 J which I don't think it's correct
I think it's 0

4) What is the change in kinetic energy of the object?
0

5) What is the kinetic energy just before it hits the floor?
18.9J

6) What is its velocity?
This one I'm a little confused with, is it
(1/2)mv^2=18.9J
v^2=1/2m-18.9J


Also, I have no idea how to try and solve the following:
A force acts on an object of mass 0.425 kg. The force varies with position. Find the work done by the force in moving the object from 0.40m to 1.20m.
 
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tica86 said:
An object of mass 0.550 kg is lifted from the floor to a height of 3.50m at a constant speed.
Can someone please check my answers, thanks!

1) How much work is done by the lifting force?

(0.550kg)(9.80m/s^2)(3.50)=18.9J

2) How much work is done by the Earth on the object?
I was told it was 0 but I think it's -18.9J
because W=-mgh

3) What is the net work done on the object?
Again I was told it was 18.9 J which I don't think it's correct
I think it's 0

4) What is the change in kinetic energy of the object?
0

5) What is the kinetic energy just before it hits the floor?
18.9J
You went against the flow of opinion, and got them all correct, nice work! (I'm assuming that in (5) and (6) below, the object is dropped to the floor after its height of 3.5 m is reached).
6) What is its velocity?
This one I'm a little confused with, is it
(1/2)mv^2=18.9J
Yes
v^2=1/2m-18.9J
algebra error...v^2 = 2(18.9)/m, solve for v.
Also, I have no idea how to try and solve the following:
A force acts on an object of mass 0.425 kg. The force varies with position. Find the work done by the force in moving the object from 0.40m to 1.20m.
More info is needed to get a numerical value. Did you leave out something?
 
PhanthomJay said:
You went against the flow of opinion, and got them all correct, nice work! (I'm assuming that in (5) and (6) below, the object is dropped to the floor after its height of 3.5 m is reached).
Yes algebra error...v^2 = 2(18.9)/m, solve for v.More info is needed to get a numerical value. Did you leave out something?

Sorry I attached the image that deals with the last problem
 

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tica86 said:
Sorry I attached the image that deals with the last problem
If you can find the equation of that curve, then use the definition of work
,
[tex]W = \int Fdx[/tex] evaluated between the 2 given distances. Or, as a close approximation, use the average force (the force at x = 0.8) times the distance traveled in that interval.
 
since analytical dependence of F(x) is not given, and since the plot F vs x is shown on graph paper, student probably is expected to find the area under the curve by counting unit squares to find the work
 

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