Two forces of 5N and 7N respectively act on an object. (A)when will the resultant of the two vectors be at a maximum? (B)when will the resultant of the two vectors be at a minimum? (C)what are the maximum and minimum resultant of the two forces?
now what would you think yourself?
a)force can cause motion ,alternativelly force can act to keep an object at the rest.
Suppose the ceiling in the previous problem is that of an elevator which is going up with an acceleration of 2.0 m/s square. Find the the elongations.
7n
12N
Find the magnitude and direction of the resultant force for each of these pair of forces. 25on, 30degree, 450
To determine when the resultant of the two vectors is at a maximum or minimum, we need to understand vector addition. When two vectors are added, the magnitude and direction of the resultant vector depend on the angle between the two vectors.
(A) When will the resultant of the two vectors be at a maximum?
The resultant will be at a maximum when the two vectors are pointing in the same direction. These two vectors will add up to provide the maximum resultant force. In other words, the angle between the two vectors should be 0 degrees.
(B) When will the resultant of the two vectors be at a minimum?
The resultant will be at a minimum when the two vectors are pointing in opposite directions. These two vectors will partially cancel each other out, resulting in the minimum resultant force. In other words, the angle between the two vectors should be 180 degrees.
(C) What are the maximum and minimum results of the two forces?
To find the maximum and minimum resultant forces, we can use the concept of vector addition. We can add the two vectors by both magnitude and direction.
To find the maximum resultant force, we add the two forces together since they are pointing in the same direction:
Resultant force = 5N + 7N = 12N
To find the minimum resultant force, we subtract the smaller force from the larger force since they are pointing in opposite directions:
Resultant force = 7N - 5N = 2N
Therefore, the maximum resultant force is 12N, and the minimum resultant force is 2N.