Question

Find the dimensions of
1) Force
2) power
3) density
4) momentum
5) velocity

Answer 1

1) 1. Force = mass x acceleration $=kg\times m{s}^{-2}=kgm{s}^{-2}=\left[M{L}^1{T}^{-2}\right]$

2) 2. Power = force x displacement/time $=kgm{s}^{-2}\times m{s}^{-1}=\left[M{L}^2{T}^{-3}\right]$

3) 3. Density= mass/volume $=kg/m^3=\left[M^1{L}^3{T}^o\right]$

4) 4. Momentum = mass x velocity $=kg\times m{s}^{-1}=kgm{s}^{-1}=\left[ML{T}^{-1}\right]$

5) 5. Velocity = Distance/meter $=m{s}^{-1}=\left[M^{o}L{T}^{-1}\right]$