Two forces of magnitude 5n and 7n act on an object.Which of the following cannot be the resultant displacement (in mm)? between 2,4,8 & 10
To find the resultant displacement, we need to combine the two forces using vector addition. The magnitude of the resultant displacement is given by the magnitude of the vector sum of the two forces.
Let's find the possible magnitudes of the resultant displacement by adding the magnitudes of the forces:
1. Magnitude of the resultant displacement = magnitude of force 1 + magnitude of force 2 = 5N + 7N = 12N
Now, let's convert the magnitude of the resultant displacement from Newtons to millimeters using the appropriate conversion factor.
Assuming we use the conversion factor of 1N = 1mm (which is not necessarily accurate, but let's assume it for simplicity), the magnitude of the resultant displacement is 12mm.
Therefore, the possible magnitudes of the resultant displacement are 12mm.
Checking the given options:
- Option 2: 2mm - This is less than the possible magnitudes of the resultant displacement (12mm). Therefore, option 2 can be the resultant displacement.
- Option 4: 4mm - This is less than the possible magnitudes of the resultant displacement (12mm). Therefore, option 4 can be the resultant displacement.
- Option 8: 8mm - This is less than the possible magnitudes of the resultant displacement (12mm). Therefore, option 8 can be the resultant displacement.
- Option 10: 10mm - This is less than the possible magnitudes of the resultant displacement (12mm). Therefore, option 10 can be the resultant displacement.
Therefore, none of the provided options (2, 4, 8, and 10) cannot be the resultant displacement in millimeters.