dimensional formula of normal reaction
Answers
Or, C = [M1 L2 T-2] × [M1 L0 T0]-1 × [M0 L0 T0 K1]-1 = [M0 L2 T-2 K-1]. Therefore, specific heat capacity is dimensionally represented as [M0 L2 T-2 K-1].
Answer:
Explanation:
Dimensional Formula of Coefficient of Friction
The dimensional formula of coefficient of friction is given by,
[M0 L0 T0]
Where,
M = Mass
L = Length
T = Time
Derivation
Coefficient of friction (μ) = Frictional Force × [Normal Force]-1 . . . . (1)
Since, Force (F) = Mass × acceleration = Mass × velocity × [Time]-1
And, velocity = Displacement × [Time]-1
∴ The dimensions of Force = [M] × [LT-1] × [T]-1 = [M1 L1 T-2] . . . . (2)
On substituting equation (2) in equation (1) we get,
Coefficient of friction (μ) = Frictional Force × [Normal Force]-1
Or, μ = [M1 L1 T-2] × [M1 L1 T-2]-1 = [M0 L0 T0].
Therefore, the coefficient of friction is dimensionally represented as [M0 L0 T0].
normal reaction: The force exerted by a surface on an object in contact with it which prevents the object from passing through the surface; the force is perpendicular to the surface, and is the only force that the surface exerts on the object in the absence of frictional forces.
So if you have a one kilogram weight sitting on a table, the normal force acting on it is 9.8 Newtons, exactly counteracting the -9.8 Newtons acting on the weight from gravity. (Where positive force is Up).