force times length is the dimension for Work or Energy or Torque. Some examples are Newton meters (equivalent to Joules), inch pounds, foot pounds. The pounds are pounds force, not pounds mass.
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The dimensions of force are typically described in terms of mass times acceleration, which is equivalent to kg*m/s^2.
The dimension of force can be written using the Buckingham Pi Theorem as: force = density * frequency^2 * (acceleration due to gravity) This expression indicates that force has dimensions of mass per unit volume times inverse time squared, multiplied by acceleration due to gravity.
The dimension of surface tension is MLT-2 because it is defined as the force acting perpendicular to a unit length of interface between two fluids. The force per unit length has units of force/length, which can be expressed as MLT-2.
Change of the body's momentum = (force on the body) x (length of time the force acts on it)
(Any unit of mass) times (any unit of length or distance) divided by (the square of any unit of time)makes a unit of force.In the metric system, the standard unit is the newton, defined as one kilogram-meter per second2 .