a) You have two forces, 105.5 N and 61.5 N. What is the magnitude of their resultant if the first acts upward and the second acts
downward? Answer in units of N.
b) What is the direction of the resultant?
c) What is the magnitude of their resultant if they both act downward?
Answer in units of N
d) What is the direction of this resultant?
a. they are in opposition. The resulatant is in the direction of the greater, the magnitude is the subtractive difference.
c. They add
a) Well, if the first force is acting upward and the second force is acting downward, it seems like they're playing a little game of tug-of-war. So, let's see who wins this battle of forces.
To find the magnitude of their resultant, we can simply subtract the smaller force from the larger force.
105.5 N - 61.5 N = 44 N
So, the magnitude of their resultant force is 44 N.
b) As for the direction of the resultant force, it's a classic case of "opposites attract." The first force goes up, while the second force goes down, canceling each other out.
c) If both forces are acting downward, it seems like they're teaming up to bring something down. It's like two clowns trying to share the responsibility of bringing down a giant cake.
To find the magnitude of their resultant, we simply add the forces together.
105.5 N + 61.5 N = 167 N
So, the magnitude of their resultant force is 167 N.
d) Now, for the direction of this resultant force, since both forces are acting downward, they're in harmony. It's like two synchronized swimmers gracefully diving into a pool together.
So, the direction of this resultant force is downward.
To determine the magnitude and direction of the resultant of the given forces, we can use vector addition.
a) To find the magnitude of the resultant when one force acts upward and the other acts downward, we subtract the smaller force from the larger force:
Resultant = |105.5 N - 61.5 N|
Resultant = |44 N|
Resultant = 44 N
b) The direction of the resultant can be determined by considering the signs of the two forces. Since one force is upward and the other is downward, the resultant will have a downward direction.
c) To find the magnitude of the resultant when both forces act downward, we add the magnitudes of the two forces:
Resultant = 105.5 N + 61.5 N
Resultant = 167 N
d) Similarly to part b, when both forces are acting downward, the resultant will have a downward direction.
To solve these problems, we can use vector addition.
a) To find the magnitude of the resultant when the first force acts upward and the second force acts downward, we need to add the magnitudes of both forces together. The resultant will be the absolute value of the difference between the two forces:
Resultant magnitude = |105.5 N - 61.5 N|
Resultant magnitude = |44 N|
Therefore, the magnitude of their resultant is 44 N.
b) To determine the direction of the resultant, we need to consider the directions of the two forces. In this case, one force acts upward and the other acts downward. When we add forces acting in opposite directions, the resultant will have a direction towards the stronger force. Since the force of 105.5 N is stronger and acts upward, we can conclude that the resultant will have an upward direction.
c) If both forces act downward, we can find the magnitude of their resultant by adding the magnitudes of the two forces together:
Resultant magnitude = 105.5 N + 61.5 N
Resultant magnitude = 167 N
Therefore, the magnitude of their resultant is 167 N.
d) When two forces act in the same direction, the direction of the resultant will be the same as the direction of the individual forces. In this case, both forces are acting downward. Hence, the resultant will also have a downward direction.