Question

what is meant by momentum? write its unit and dimensional formula​

Answer 1

Answer:

momentum

the ability to keep increasing or developing; the force that makes something move faster and faster .

Dimensional Formula of Linear Momentum

The dimensional formula of linear momentum is given by,

[M1 L1 T-1]

Where,

M = Mass

L = Length

T = Time

Derivation

Linear Momentum = Mass × [Velocity] . . . . . . (1)

The dimensional formula of,

Mass = [M1 L0 T0] . . . . (2)

Velocity = [M0 L1 T-1] . . . . (3)

On substituting equation (2) and (3) in equation (1) we get,

Linear Momentum = Mass × [Velocity]

Or, L = [M1 L0 T0] × [M0 L1 T-1] = [M1 L1 T-1].

Therefore, linear momentum is dimensionally represented as [M1 L1 T-1].

Answer 2

Momentum-

• In mechanics, momentum is defined as a product of the mass and velocity of an object.
• Momentum is a vector quantity, possessing both magnitude and direction. It can be used to predict the resulting direction and speed of bodies after they collide.
• Newton's second law of motion states that - Rate of change of an object's momentum is equal to the net force acting on it.
• The momentum of a particle is represented by the symbol p, it is the product of two quantities, mass (represented by the letter m) and velocity (represented by the letter v)
• p= mv
• In the SI unit, if the mass is in kilograms and velocity is in meters per second the momentum is in kilograms meters per second (kg.m/s)
• In the CGS unit - momentum is in gram centimeter per second (g.cm/s)
• The dimensional formula of momentum is MLT^-1.

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