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The min net force magnitude you can have is (20 - 12) = 8 N, when the two forces are directly opposite in directions. When the two forces align, the net force magnitude becomes the maximum, which is equal to (20 + 12) = 32 N. You can guess that the net force magnitude is somewhere between 8 N and 32 N, when the two forces are at an angle other than 0o or 180o.
Let us say the larger force is A and the smaller force is B, at an angle, alpha, to one another. Then the net force magnitude, |C| = |A| + |B|*cos(alpha). The magnitude of C, |C|, depends solely on cos(alpha), since |A| and |B| are fixed. When alpha = 0o, |C|= |A| + |B| (maximal); when alpha = 180o, |C|= |A| - |B| (minimal). Note that max(cos(alpha))=1 and min(cos(alpha))=-1.
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What else can I help you with?
Can a vector have a component greater than the vector's magnitude?
No, a vector's component cannot be greater than the vector's magnitude. The magnitude represents the maximum possible magnitude of a component in any direction.
Can a component of vector greater than vector magnitude?
No, a component of a vector cannot be greater than the magnitude of the vector itself. The magnitude of a vector is the maximum possible value that can be obtained from its components.
What are the conditions for maximum work done in physics?
The conditions for maximum work done are when the force applied is in the same direction as the displacement, as well as when the force has the maximum magnitude possible. This results in the maximum transfer of energy from one form to another.
What is the minimum possible magnitude of two vectors?
The minimum possible magnitude that results from the combintion of two vectors is zero. That's what happens when the two vectors have equal magnitudes and opposite directions.The maximum possible magnitude that results from the combintion of two vectors is the sum of the two individual magnitudes. That's what happens when the two vectors have the same direction.
What is the maximum resultant possible when adding a 3N force to an 8N force?
The maximum resultant possible when adding a 3N force to an 8N force is 11N. This occurs when the two forces are acting in the same direction, resulting in additive effects on the total force magnitude.
What should be the angle between two vectors of magnitudes 8 and 8 units so that their resultant has a magnitude of 20 units?
It is not possible. The maximum magnitude is obtained when the vectors are aligned and in this case the resultant has a magnitude which is the sum of the individual vectors. In the given example, the maximum possible magnitude for the resultant is 16 units. In general |a+b| <= |a| + |b| where a, b are vectors and |a| is the magnitude of a
Can a vector have a component greater than the vector's magnitude?
No, a vector's component cannot be greater than the vector's magnitude. The magnitude represents the maximum possible magnitude of a component in any direction.
Can a component of vector greater than vector magnitude?
No, a component of a vector cannot be greater than the magnitude of the vector itself. The magnitude of a vector is the maximum possible value that can be obtained from its components.
What are the conditions for maximum work done in physics?
The conditions for maximum work done are when the force applied is in the same direction as the displacement, as well as when the force has the maximum magnitude possible. This results in the maximum transfer of energy from one form to another.
What is the minimum possible magnitude of two vectors?
The minimum possible magnitude that results from the combintion of two vectors is zero. That's what happens when the two vectors have equal magnitudes and opposite directions.The maximum possible magnitude that results from the combintion of two vectors is the sum of the two individual magnitudes. That's what happens when the two vectors have the same direction.
What is the maximum resultant possible when adding a 13-unit vector to an 18-unit vector?
31
What is the maximum resultant possible when adding a 3N force to an 8N force?
The maximum resultant possible when adding a 3N force to an 8N force is 11N. This occurs when the two forces are acting in the same direction, resulting in additive effects on the total force magnitude.
Is it possible for an earthquake to be off the scale?
Yes, it is possible for an earthquake to exceed the maximum intensity values on standard earthquake measurement scales like the Richter scale. In such cases, the magnitude may be estimated using other methods such as moment magnitude (Mw) or the earthquake may be classified as "great" or "major" based on its impact.
How many times greater is the maximum ground motion of a magnitude 5 earthquake compared with that of a magnitude 3 earthquake?
The ground motion of a magnitude 5 earthquake is 100 times greater than that of a magnitude 3 earthquake. This is because each whole number increase in magnitude represents an increase in amplitude by a factor of 10.
What method can be used to find the magnitude of the maximum transverse velocity of particles in the wire?
The method that can be used to find the magnitude of the maximum transverse velocity of particles in the wire is by using the formula for maximum transverse velocity, which is given by v A, where A is the amplitude of the wave and is the angular frequency of the wave.
What was the maximum intensity of the 1960 Chili earthquake?
9.5 on the moment magnitude scale.
What is usually the most important thing to consider when releasing an object for maximum distance?
The most important thing to consider when releasing an object for maximum distance is the angle of release. The object should be released at an angle that provides the best balance between height and distance to achieve the farthest throw possible.
