HELP with this one please?

[cc100]

hi
can u help me with this puzzle please?

a = bh ^2

if a is measured in joules and h is measured in m s ^-1, what are the SI units of b?

give your answer in SI base units and in the simplest form.

[Sticks]

it would seem to be

Energy = ? . Speed (squared)

? = Energy / Speed (squared)

or
? = j.s^2/m^2

assuming m is metres

However 1 joule is defined as 1Nm (Newton Metre)
So ? = Ns^2/m

But N/m = 1 Pascal (Pressure)

Therefore units of b are in Pa.s^2

Bizzare ????

[cc100]

joules are kg*m^2/s^2

If h is m/s, then h^2 is m^2/s^2

So b*(m^2/s^2) is in kg*m^2/s^2

So b is in kg.


IS this correct?