An object is on a horizontal surface,three force act horizontal on the object.3N to the left,12N to the right,in to the left.at the same time,another three force act vertically on the object,4N upwards,10N downward,2N downwards determine the resultant horizontal and vertical force acting on the object
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Horizontal 8 than vertically it -4
To determine the resultant horizontal and vertical force acting on the object, we need to find the net force in each direction by summing up the individual forces.
Horizontal forces:
- The force of 3N to the left (-3N)
- The force of 12N to the right (+12N)
- The force of 4N to the right (+4N)
The net horizontal force is calculated by subtracting the forces to the left (-3N) from the forces to the right (+12N and +4N):
Net horizontal force = (+12N + 4N) - (-3N)
Net horizontal force = 16N
Therefore, the resultant horizontal force acting on the object is 16N to the right.
Vertical forces:
- The force of 10N downward (-10N)
- The force of 2N downward (-2N)
- The force of 4N upward (+4N)
The net vertical force is calculated by summing up the forces downward (-10N and -2N) and adding the force upward (+4N):
Net vertical force = (-10N) + (-2N) + (+4N)
Net vertical force = -8N
Therefore, the resultant vertical force acting on the object is 8N downward.
In summary, the resultant horizontal force is 16N to the right, and the resultant vertical force is 8N downward.
To determine the resultant horizontal and vertical forces acting on the object, we need to calculate the sums of the individual forces in each direction.
Horizontal forces:
1. The 3N force to the left acts horizontally, so it contributes -3N to the resultant horizontal force.
2. The 12N force to the right acts horizontally as well, contributing +12N to the resultant horizontal force.
3. The 3N force inward (which I assume means toward the center) does not contribute to the horizontal force since it is acting radially.
Thus, to find the resultant horizontal force, we need to add up the individual horizontal forces:
Resultant horizontal force = (-3N) + 12N = 9N to the right
Vertical forces:
1. The 4N force upward contributes +4N to the resultant vertical force.
2. The 10N force downward contributes -10N to the resultant vertical force.
3. The 2N force downward contributes -2N to the resultant vertical force.
To find the resultant vertical force, we need to add up the individual vertical forces:
Resultant vertical force = 4N - 10N - 2N = -8N
Hence, the resultant horizontal force is 9N to the right, and the resultant vertical force is 8N downward.