Dimension formula of force?

Question

Answer

Force = mass ✖acceleration

= [ M ] ✖ [ LT^- ² ]

= [ M L T^-² ]

that is the dimension formula of force

Answer

Answer

Mass × Acceleration
[M] × [LT^-2]
={MLT^-2}

Answer

Dimension Formula of Force
Force is a physical quantity that can be described in terms of its dimensions. The dimension formula of force can be determined by analyzing its definition and units.

Definition of Force
Force is defined as the interaction that causes an object to accelerate or deform. It is a vector quantity with both magnitude and direction. The SI unit of force is the Newton (N).

Dimension Formula
The dimension formula of force can be derived using Newton's second law of motion, which states that force is equal to mass times acceleration (F = ma). By analyzing the dimensions of mass (M), acceleration (LT^-2), and force (MLT^-2), we can determine the dimension formula of force as [MLT^-2].

Explanation
- Mass (M) is the measure of the amount of matter in an object and is measured in kilograms (kg).
- Acceleration (L/T^2) is the rate of change of velocity with respect to time and is measured in meters per second squared (m/s^2).
- Force (M*L/T^2) is the product of mass and acceleration and is measured in Newtons (N).
Therefore, the dimension formula of force is [MLT^-2], which indicates that force is composed of the dimensions of mass, length, and time. This formula helps in understanding and analyzing the physical quantities involved in force-related calculations.

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