A moving company is called into a building and asked to relocate 520 bricks to a location 15 meters above the ground. If each brick is 4 kilograms, what amount of work will be needed to accomplish the task?

Respuesta :

AL2006

The total weight of the load is (mass) x (gravity) x (height) .

Weight = (520 x 4kg) x (9.8 m/s²)

Weight = (2,080 kg) x (9.8 m/s²)

Weight = 20,384 newtons

Work = (force) x (distance)

Work = (20,834 N) x (15 m)

Work = 305,760 Joules

Answer:

W = 305760 J

Explanation:

Force required to pull each brick is given as

[tex]F = mg[/tex]

here we know

m = 4 kg

[tex]F = (4kg)(9.8 m/s^2)= 39.2 N[/tex]

now work done to bring one brick to height of 15 m

[tex]W = F.d[/tex]

[tex]W = 39.2 \times 15 = 588 J[/tex]

Now company has to transfer total 520 bricks

so total work done is given as

[tex]W = 520 \times 588 J = 305760 J[/tex]