The dimensions of force are:

The correct answer is [M L T^-2].Key Points

• The dimensions of force are typically represented as [M L T^-2] because force is directly proportional to mass and acceleration, and acceleration is represented as [L T^-2].
• According to physics, a force is an influence that, in the absence of other forces, has the capacity to cause an object to change its velocity, or accelerate.
• The everyday idea of pushing or pulling is made mathematically by the concept of force.
• [M0 L3 TO] = Dimensional formula for volume.
• [M L-3 T0] = Dimensional formula for density.
• [M0 L T-1] =Dimensional formula for speed.

Additional Information

• The term "dimensions" in this context refers to the fundamental physical quantities that are used to describe a particular physical quantity.
• [M^₁ L² T^-2] represents the dimensions of torque, which is the twisting force that causes rotation.
  • The source of an angular acceleration is torque.
  • Thus, torque can be thought of as linear force's rotating equivalent.
• [M¹ L^-1 T^-2] represents the dimensions of pressure, which is the force applied perpendicular to a surface per unit area.
  • The International System of Units (SI) uses the Pascal (Pa) as the measure of pressure or stress.
• [M0 L¹ T-1]  represents the dimensions of velocity, which is the rate of change of position with respect to time.
  • In kinematics, the area of classical mechanics that studies how bodies move, velocity is a basic idea.