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Thefgurehere shows overneau vicwol three norontaitorces actinz cargo canisterthat wasinitially stationany but thatnow Moves across frtctionless floor Tne force magn...

Question

Thefgurehere shows overneau vicwol three norontaitorces actinz cargo canisterthat wasinitially stationany but thatnow Moves across frtctionless floor Tne force magnitudes arefa 2 90N: Fz = 360Nand 100 Nandtheindicated angles &re 520" and 835 3,0 Wnat is the net work done on the anister by the tnree forces during the first 4.20 mot displacement?unubat

Thefgurehere shows overneau vicwol three norontaitorces actinz cargo canisterthat wasinitially stationany but thatnow Moves across frtctionless floor Tne force magnitudes arefa 2 90N: Fz = 360Nand 100 Nandtheindicated angles &re 520" and 835 3,0 Wnat is the net work done on the anister by the tnree forces during the first 4.20 mot displacement? unubat



Answers

Figure $7-27$ shows an overhead view of three horizontal forces acting on a cargo canister that was
initially stationary but now moves across a frictionless floor. The force magnitudes are $F_{1}=3.00 \mathrm{N}, \quad F_{2}=$ $4.00 \mathrm{N},$ and $F_{3}=10.0 \mathrm{N},$ and the indicated angles are $\theta_{2}=50.0^{\circ}$ and $\theta_{3}=$
$35.0^{\circ} .$ What is the net work done on
the canister by the three forces during the first 4.00 $\mathrm{m}$ of displacement?

In this case we are going to calculate the network and on the canister by the three forces. So let this network done is uh w we can wipe the equation for this election as WZ equals two F dot g said said this F is the net force and it is a loan that displacement today. So we can say that this will be equals two F. D. And Quality Question # one. Now let's calculate the magnitude of the net force which is along the that displacement. So let's calculate the x. component of the net force as FX is equals two minus F. A plus FB scientist to be plus fc santa, fc co scientists. E. So let's set the values into this question. Here we have FX is equals two -3.00 new 10 plus Be witches equals two into minus 4.00 new chant because this is opposite to the positive effects. And so we have to put the negative sign here And a sign of uh this 50° plus 10.0 new turn into Cause I know 35 degree. So from here we will get the value for this fx as F x is equal to 2.1 Thing You Did. Similarly, we can watch the white component of the net force that is written as F Y. And this is equals two minus F B. No sign of 50° plus fc Sign or 35 degree. So F Y is equals two minus 4.00 New 10. And to consign off this 50 degree Plus this FC which is equals to 10, new 10 into Sign of 35°. So from here we can get the value for this. Uh foy as avoids equals two 3.16. New did. Now the magnitude of the net force will be equal to this F. And this is equals to square it off F X squared plus F Y squared. So this original has a square root of 2.13 new 10 old square plus into 3.16 new gym hold squared from here. We will get the value for this F. As a physical Too. 3.81 You did. Now let's set the values intrigue question number one. So we can write the question number one As uh WZ equals two 3.81 U. Turn into 4.00 m. So WZ equals two 15.2. For those, this is the required answer. Thank you.

So we have a force which is at an angle to the displacement. So we start by saying work is equal to F s Co sign of Thera. Let's put some numbers in there so one point ones your times tend to dip. Our three is equal to F is equal to 30. Newton's displacement s is equal to 50 meters course sign of theater. So this is Ah, 1100 equals 1500 course. Sign off era so we can say theta is equal to co sign in worse off 1100 over 1500. And that comes out to be cool, too. 42.8 degrees.

For this question. We have logic lying in the book. So it forces a cloud. The postal chip because they covered in anger from two degrees to the magician on the horses. £41 and it moves a distance off 75. No, we have to find the part done. Both the mystic horse talk displacement after. So here, whole Specter can be broken down on both. Uh, thanks. Take by Jacob, you know, have accessible to have cost 22 case. It is about what the one pass from getting this. This is equal to did with five Prudhomme's with their voice ever sign called Ridiculous. This is a full of 51. So contentious. This is simple. Hotels on Syria kowtow mhm pools. Therefore frequently. Okay, when I go like this, hoping for a zero country Jacob of the specialty having only horizontal most 75 like she was Hiccup. No work done. 34 52 campus working from Jacob. About 75 cap cap. This is You wouldn't have to hate what I do. 75. This is your control. 28 Internet. £8. This is the amount of often

The network of three forces or for a part A. Is given by work is if network Network is able to work one plus work too. Plus work three for work one If one is in the direction of the displacement. So we can simply write if one time the d. cause five one. That is a five times of three times cause of zero. This will give us uh 15 Jones for what? To F two Makes an angle of 1 20 degrees. So if two uh D. Course 52 is nine. Newton times three Times of course of 120. This gives us -13.5 Julie's for work three 4 3 is perpendicular to displacement. So if three d. course 90 will be zero. So we can now add all these forces here work here 15 minus 13.5 plus zero. This will give us a plus 1.5. Or The network will be plus 1.54 jewels. But be of the problem. If no other forces do work on a box, It's gigantic. Energy increases. So what will be equal to the change in can technology? And this increases by 1.5. Or jewels during the displacement.


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