Dimensional Analysis of Force

Quantity	Formula	SI Unit	Dimension
Force	F = ma	Newton (N)	[ $MLT^{-2}$ ]
Weight	W = mg	N	[ $MLT^{-2}$ ]
Momentum	p = mv	kg*m/s	[ $MLT^{-1}$ ]
Impulse	J = F* $delta_t$	N*s	[ $MLT^{-1}$ ]
Spring constant	k = $\frac{F}{x}$	N/m	[ $MT^{-2}$ ]
Coefficient of friction	mu = $\frac{f}{N}$	dimensionless	[ $M^{0L}^{0T}^0$ ]
Pressure	P = $\frac{F}{A}$	Pascal (Pa)	[ $ML^{-1}$$T^{-2}$ ]

Impulse-Momentum Theorem: J = $delta_p$ = $F_{avg}$ * $delta_t$ This is particularly useful for collision and impact problems.