1. ## very stuck

hi all,

first post, im very stuck on this question its a practice paper for my degree exam in may, can you guys have a look and point me in the right direction im completely lost

In the equation e=√a/h or e=sqrt(a/h),
the SI units of the quantity a are kg m–1 s–2 and the SI units of the quantity
h are kg m–3.
What are the correct SI units for the quantity e?
You should express your answer in terms of the simplest possible arrangement of
base units and use the conventional symbols for those units.

SI units of e =

2. Originally Posted by leoleo
hi all,

first post, im very stuck on this question its a practice paper for my degree exam in may, can you guys have a look and point me in the right direction im completely lost

In the equation e=√a/h or e=sqrt(a/h),
the SI units of the quantity a are kg m–1 s–2 and the SI units of the quantity
h are kg m–3.
What are the correct SI units for the quantity e?
You should express your answer in terms of the simplest possible arrangement of
base units and use the conventional symbols for those units.

SI units of e =

First of all simplify the expression inside the square root

$\frac{a}{h} = \frac{\text{ kg m}^{-1} \text{ s}^{-2}}{\text {kg m}^{-3}}$

kg will cancel and you can simplify m remembering the laws of indices From there take the square root by halving each power.

You should get an answer of $\text{m s}^{-1}$ which is speed/velocity.