contestada

A crane lifts a 425 kg steel beam vertically a distance of How much work does the crane do on the beam if the beam accelerates upward at 1.8 m/s2? Neglect frictional forces

Respuesta :

Answer:

The work done by the crane on the beam is [tex]5.66\times 10^5\ J[/tex].

Explanation:

Given that,

Mass of the steel beam, m = 425 kg

Acceleration of the beam in upward direction, [tex]a=1.8\ m/s^2[/tex]

Let the distance covered by the crane is 117 m, d = 117 m

We need to find the work done by the crane on the beam. The net force acting on the crane is given by :

[tex]F=m(g+a)[/tex]

Let W is the work done. It is given by :

[tex]W=m(g+a)\times d[/tex]

[tex]W=425\times (9.8+1.8)\times 115\\\\W =5.66\times 10^5\ J[/tex]

So, the work done by the crane on the beam is [tex]5.66\times 10^5\ J[/tex]. Hence, this is the required solution.