Calculate Work Done with 104 N Force on 26 kg Mass

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A force of 104 N is applied to a 26 kg mass at a 32-degree angle, and the work done over a horizontal distance of 5 m is debated. One participant initially believes that the work is zero because the applied force is insufficient to move the mass, but another clarifies that the horizontal component of the force can still do work. The correct calculation involves using the cosine of the angle to find the effective force, resulting in 441 J of work done. Additionally, there is confusion regarding a force-displacement graph and the interpretation of "possible outcomes" of the work done. The discussion highlights the importance of understanding both the angle of force application and the area under the graph for calculating work.
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"a force of 104 N is applied to a 26 kg mass at an angle of 32 degrees to the horoizontal. calculate the work done when the mass is moved through a horizontal distance of 5 m."

my answer is zero because 26kg times 9.8 m/s^2 = 255 N, so a 104N force wouldn't be enough to move it. does that sound right?

~Amy
 
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physicsgal said:
"a force of 104 N is applied to a 26 kg mass at an angle of 32 degrees to the horoizontal. calculate the work done when the mass is moved through a horizontal distance of 5 m."

my answer is zero because 26kg times 9.8 m/s^2 = 255 N, so a 104N force wouldn't be enough to move it. does that sound right?

~Amy

Since there is no friction mentioned, the force should move the mass. It is not the same as lifting the mass. In order to lift it, you should have a vertical force which is greater than the weight of the mass. So, the force F = 104 * cos32 is doing work along a distance of 5 m. Unless I'm missing something big here. :biggrin:
 
that was my first answer F = 104 * cos32 = 441 J.

i dunno. it just seems like the 26 kg should be included somehow.

can anyone else shed some insight?

~Amy
 
physicsgal said:
that was my first answer F = 104 * cos32 = 441 J.

i dunno. it just seems like the 26 kg should be included somehow.

can anyone else shed some insight?

~Amy

Maybe they're included to confuse you. :smile:
 
k, looks like youre right. thanks for the help!

~Amy
 
another question. there's a force displacement graph. (quick vent) i asked the school that I am signed up with and they have no idea about the below question :eek:. they have these chat rooms that take for ever to get any help and more than 50% of the time with my questions they are no help at all. today i was lucky and only wasted a half hour waiting (usually it takes an hour or more). but if you send an email they'll give you a good answer, but it takes 5 business days. grrrr...

part a starts at 40N, 0 displacement in m
then it goes to 40N at 4 m
=160J

then from 40N it slopes at 60N by 8 m
= 200J

so the total = 360J

and the question asks "state two possible outcomes of the work (above) being done on the object". I am not sure what "possible outcomes" mean.

~Amy
 
Could you make a sketch of the diagram and post it on a link?
 
i don't know how links work. but i'll try to sketch it here just using typing.

N
60...... /
....../
40------- /

20

0...2...4... 6...8 (displacement in m)

imagine the /s are a straight normal slope..

k, this is the best drawing i can do.

~Amy
 
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Hm, the work should equal the area under the graph, but I don't understand the 'two possible outcomes' part, neither.
 
  • #10
thanks anyways. :smile:

if anyone else can help, it'd be appreciated!

~Amy
 
  • #11
Its because the graph starts from 10N of force instead of 0. which means if you were to count the squares, instead of using the formula W=F*D , you will notice that you are not able to count from 0-10 N because its not included on the graph, thus changing the outcome
 
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