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posted by  leena on 12/13/2007 7:47:49 PM  |  status: Live  

THIS IS REALLY IMPORTANT AND TIME SENSITIVE THANKS

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The only two forces acting on a body have magnitudes of 2ON and 35 N and their direction differ by 80 degrees. The resulting acceleration has a magnitude of 20m/s2. what is the mass of the body.
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Oracle
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(Ecole Polytechnique Fédérale de Lausanne)
posted by Golden Monkey on 12/13/2007 8:20:33 PM  |  status: Live
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leena's comment:
"thank you you are totally a life saver "
Response Details:
The net force can first be determined by assuming that the 35 N force is along the x axis. Then the x component of the 20 N force is
 
    20 cos80  =  3.473  N
 
and the total x force is   3.473 + 35  =  38.473 N
 
The y component is   20 sin80  =   19.70  N
 
and the total force can be found by combining x and y components
 
   total force  =  (38.4732  +  19.702 )1/2  =  43.22 N
 
Then finally
 
mass  =  total fore / acc  = 43.22 / 20   =   2.16 kg
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posted by Anonymous on 12/13/2007 8:25:30 PM  |  status: Live
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Response Details:
Step 1.
 
The forces are 80* apart from each other, assume that force 1=20N is along the X axis at 0*  so it only has an X component of force. 
 
Step 2. Force 2 is 80* from Force 1 this means it has an X and Y component of force, Since both the X component of both force 1 and two are in the same direction we Can add to get total force
 
 
Force T= Force 1+ Force 2
 
F= 20N +35N = 55 N
 
F=Ma
 
so
 
55N=M* 20m/s2 
 
Now solve for M
 
M=20m/s2/55N
 
M=.3636
 
 
 
Oracle
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posted by RPGillespie on 12/13/2007 8:35:05 PM  |  status: Live
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leena's comment:
"THANKS LOADS total life saver points would be awarded if I did nt already give it out lol thanks though i really appreciate it, please employ yourself to look at my other quesiton "
Response Details:

Ok, if
F1 = 20 N
F2 = 35 N

Then to find the resultant vector, we must add together the horizontal and vertical components of both forces.

So, the resulting horizonal vector would be:


So the total horizontal component would be:




So the total vertical component would be:


So the resultant vector will be:


Now we know that





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