Explanation
The magnitude of the momentum of an object is given by:
[tex]p=mv[/tex]
where p is the momentum
m is the mass of the object
v is the mass of the object
so
Step 1
ind the momentum of aeach vehicle
a)
let
mass=1000 Kg
v=20 m/s
replace and calculate
[tex]\begin{gathered} p=mv \\ P=1000\text{ Kg}\cdot20\text{ }\frac{m}{s} \\ P_1=20000Kg\frac{m}{s} \end{gathered}[/tex]
b
let
mass=2000 Kg
v=5 m/s
replace and calculate
[tex]\begin{gathered} p=mv \\ P=2000\text{ Kg}\cdot5\text{ }\frac{m}{s} \\ P_2=10000Kg\frac{m}{s} \end{gathered}[/tex]
c
let
mass=1000 Kg
v=10 m/s
replace and calculate
[tex]\begin{gathered} p=mv \\ P=1000\text{ Kg}\cdot10\text{ }\frac{m}{s} \\ P_3=10000Kg\frac{m}{s} \end{gathered}[/tex]
d)let
mass=500 Kg
v=20 m/s
replace and calculate
[tex]\begin{gathered} p=mv \\ P=500\text{ Kg}\cdot20\frac{m}{s} \\ P_4=10000Kg\frac{m}{s} \end{gathered}[/tex]
e)xlet
mass=4000 Kg
v=5 m/s
replace and calculate
[tex]\begin{gathered} p=mv \\ P=4000\text{ Kg}\cdot5\frac{m}{s} \\ P_5=20000Kg\frac{m}{s} \end{gathered}[/tex]
f)let
mass=500 Kg
v=10m/s
replace and calculate
[tex]\begin{gathered} p=mv \\ P=500\text{Kg}\cdot10\frac{m}{s} \\ P_6=5000Kg\frac{m}{s} \end{gathered}[/tex]
Step 2
ow, raknk the automobiles based on the magnitude of the momentum( from the largest to smallest)
so
(automoblile 1 is the one on the left)
I hope this helps you
