What Are the Maximum and Minimum Resultants of Vectors with Magnitudes 4 and 5?

  • Thread starter Thread starter brittbratt117
  • Start date Start date
  • Tags Tags
    Max
AI Thread Summary
The maximum resultant of two vectors with magnitudes of 4 and 5 units is 9 units, achieved when the vectors are aligned in the same direction. The minimum resultant is 1 unit, which occurs when the vectors are oriented in opposite directions, effectively subtracting their magnitudes. The initial assumption that the minimum resultant is 4 units was incorrect. By adjusting the direction of the vectors, one can achieve a resultant closer to the starting point. Understanding vector addition and subtraction is key to determining these resultant values.
brittbratt117
Messages
6
Reaction score
0

Homework Statement



what is the maximum possible resultant of two vectors with magnitudes of 4 and 5 units? what is the minium possible resultant?


Homework Equations





The Attempt at a Solution



so i think that the max resultant would be 9 units and the minium resultant would be 4 units?
 
Physics news on Phys.org
max=9 is correct, because that is when they line up parallel and add. The minimum is not 4, though. How could you line up the two vectors to get a smaller result?
 
Max is correct. Min is wrong,
If you moved 5 units in one direction and 4 in another, how close could you get to the starting point?
 
so if you went up 5 then back down four that would leave you with one?
 
Correct
 
yay thanks :)
 

Thread 'Errors and significant figures'

I multiplied the values first without the error limit. Got 19.38. rounded it off to 2 significant figures since the given data has 2 significant figures. So = 19. For error I used the above formula. It comes out about 1.48. Now my question is. Should I write the answer as 19±1.5 (rounding 1.48 to 2 significant figures) OR should I write it as 19±1. So in short, should the error have same number of significant figures as the mean value or should it have the same number of decimal places as...
View full post »
Thread 'Calculation of Tensile Forces in Piston-Type Water-Lifting Devices at Elevated Locations'

Thread 'Calculation of Tensile Forces in Piston-Type Water-Lifting Devices at Elevated Locations'

Figure 1 Overall Structure Diagram Figure 2: Top view of the piston when it is cylindrical A circular opening is created at a height of 5 meters above the water surface. Inside this opening is a sleeve-type piston with a cross-sectional area of 1 square meter. The piston is pulled to the right at a constant speed. The pulling force is（Figure 2）： F = ρshg = 1000 × 1 × 5 × 10 = 50,000 N. Figure 3: Modifying the structure to incorporate a fixed internal piston When I modify the piston...
View full post »
Thread 'A cylinder connected to a hanging mass'

Thread 'A cylinder connected to a hanging mass'

Let's declare that for the cylinder, mass = M = 10 kg Radius = R = 4 m For the wall and the floor, Friction coeff = ##\mu## = 0.5 For the hanging mass, mass = m = 11 kg First, we divide the force according to their respective plane (x and y thing, correct me if I'm wrong) and according to which, cylinder or the hanging mass, they're working on. Force on the hanging mass $$mg - T = ma$$ Force(Cylinder) on y $$N_f + f_w - Mg = 0$$ Force(Cylinder) on x $$T + f_f - N_w = Ma$$ There's also...
View full post »

Similar threads

Minimum and maximum resultant of three vectors.
Replies
4
Views
6K
Maximum angle between resultant and original vector
Replies
9
Views
4K
Vectors Directions: Where is this Resultant Vector Pointing?
Replies
14
Views
1K
For a Pendulum: Knowing Acceleration Find Maximum Angle
Replies
26
Views
3K
Writing a vector parallel and normal to a unit vector ##\hat n##
Replies
26
Views
1K
Maximum voltage in the primary circuit of a transformer
Replies
2
Views
801
What is the problem with the units in this state equation of a gas?
Replies
12
Views
2K
Resultant Vector Homework: Min Value of |A+B+C|
Replies
2
Views
1K
Finding z component of a unit vector
Replies
2
Views
3K
Handling two SHMs in different directions
Replies
18
Views
886

Hot Threads

Recent Insights

Back
Top