A solid rectangular box with height 5 m and square base with side lengths 4 m is built using a lightweight material whose density is 800 kgm3. Constructing this box requires work against gravity.the required work is___________

Respuesta :

Answer:

627200LJ

Step-by-step explanation:

Height of box=5 m

Side of square base=4 m

Volume of rectangular box=[tex]l\times b\times h[/tex]

Using the formula

Volume of rectangular box=[tex]4\times 4\times 5=80m^3[/tex]

Density of material=[tex]800kg/m^3[/tex]

We know that

[tex]Mass=Density\times volume[/tex]

Using the formula

Mass of  rectangular box=[tex]80\times 800=64000 kg[/tex]

Gravity=[tex]g=9.8m/s^2[/tex]

Weight of  rectangular box,F=[tex]mg=64000\times 9.8 N[/tex]

Let L  be the vertical distance traveled by box

Total work done =[tex]W=F\times displacement[/tex]

Therefore,total work done against gravity =[tex]64000\times 9.8 L[/tex]=627200 L J

Hence, the box requires work against gravity=627200LJ