The mass of Mkg of a piece of metal varies directly as its volume,Vm³.The 0.5m³ of metal is.250kg.

Question

i.Write down an equation of M in terms of V.

ii Use your equation to determine the volume of a metal of mass 20kg

Answer 1

M=kV.

To find k we put in the given values M=0.250kg (this is how I read “is.250kg”) and V=0.5m³:

0.250=0.5k so k=0.250/0.5=0.50 and M=0.50V.

So, M=20 means V=20/0.5=40m³.

If “is.250kg” is meant to be 250kg then k=500 and M=500V so when M=20kg, V=20/500=0.04m³.

Note that k represents the density of the material in kg/m³. The density of water is about 1000kg/m³. Therefore, M=500V would be a more realistic interpretation for a metal of low density (floats on water).

 

Comments

Sorry M=250kg