Note that

F$=$force $($N$)$ x$=$distance $($m$)$ m$=$mass $($kg$)$ V$=$velocity $($m$/$s$)$ t$=$time $($s$)$

Which one of the following equations is dimensionally homogeneous? $($Select all that apply.$)$

F$($t$2$ t$1)=$ mV$2$ mV$1$

F $=$

$12$

mV$22$

$12$

mV$12$

F$($V$2$ V$1)=$

$12$

mx$22$

$12$

mx$12$

F$($x$2$ x$1)=$

$12$

mV$22$

$12$

mV$12$

Show your proof. $($Submit a file with a maximum size of $1$ MB$.)$