Force1 of 3,5N acts on an object to the right and force2 of 4,5N acts on the object towards the left. Determine the resultant of the forces using an accurate tail-to-head vector diagram,use the scale 10mm:1N
F(net) = F1 + F2 = 3.5 + (-4.5) = -1 N.
= 1 N. Towards the Left.
1N towards the left
To determine the resultant of the forces using a vector diagram, we can follow these steps:
Step 1: Draw a line segment to represent the first force, Force1. Since Force1 acts to the right, the line should be directed towards the right. The length of this line segment will be 3.5 N * 10 mm/N = 35 mm.
Step 2: Draw a second line segment to represent the second force, Force2. However, since Force2 acts towards the left, the line should be directed towards the left. The length of this line segment will be 4.5 N * 10 mm/N = 45 mm.
Step 3: Place the tail of the second line segment (representing Force2) at the head of the first line segment (representing Force1). This represents the addition of the two forces.
Step 4: Draw a final line segment from the tail of the first line segment to the head of the second line segment, closing the triangle. This last line segment represents the resultant of the forces.
Step 5: Measure the length of the resultant line segment using the given scale of 10 mm:1 N. In this case, if the length measures 60 mm, it corresponds to a resultant force of 60 mm/10 mm/N = 6 N.
Therefore, the magnitude of the resultant force is 6 N, and its direction is a vector pointing to the right.