the magnitude of the tongue produced by a 3.0n force applied to a door at a perpendicular distance of 0.25 m from the hinge
You seem to be confusing tongues with torques.
Review the definition of tor
Torque is force times distance from an axis of rotation (the hinge in this case)
Multiply the two numbers you have been given
T=(f)(d)
torque=force x distance
T=40NM
D=30cm=0.3m
F=?
T=(f)(d)...F=T/D
F=40NM/0.3m
=133.3N
0.37
To find the magnitude of the torque produced by a force applied to a door at a perpendicular distance from the hinge, you can use the formula:
Torque = Force × Distance
Given that the force applied (F) is 3.0 N and the perpendicular distance (r) from the hinge is 0.25 m, you can substitute these values into the formula to find the torque:
Torque = 3.0 N × 0.25 m
Torque = 0.75 N·m
Therefore, the magnitude of the torque produced by the 3.0 N force is 0.75 N·m.