Respuesta :

Answer:

225000J

Step-by-step explanation:

[tex]W=F \times S.............1[/tex]

where

W= work done

F=force

S=distance

but F=ma

so we can write the equation

[tex]F=m \frac{(v - u)}{t} .........2[/tex]

Also,

[tex]S = ( \frac{u + v}{2})t...........3[/tex]

We put equation (2) and equation (3) into equation (1)

This implies,

[tex]W =m\frac{(v - u)}{t} \times ( \frac{u + v}{2})t[/tex]

[tex]W =m(v - u)\times ( \frac{u + v}{2})[/tex]

From the question

m=6000kg

u=5m/s

v=10m/s

By substitution we obtain

[tex]W =6000(10 - 5)\times ( \frac{5 + 10}{2})[/tex]

[tex]W =3000 \times 5\times15[/tex]

[tex]W=225000J[/tex]