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An electric motor and a single-fixed pulley work together to lift a 500 kg crate 50.0 m. How much work was done?

A) 10 J
B) 30,000 J
C) 3,000 J
D) 200,000 J

Respuesta :

Answer: The work done is 245000 J.  

Explanation:  

The formula for the force due to the weight of the object is as follows;

[tex]F=mg[/tex]

Here, m is the mass of the object and g is the acceleration due to gravity.

Put m=500 kg and g=9.8 meter per second.

[tex]F=(500)(9.8)[/tex]

[tex]F=4900 N[/tex]

The formula for the work done is as follows;

[tex]W=Fs[/tex]

Here, F is the force and s is the displacement.

Put F=4900 N and s=50.0 m.

[tex]W=(4900)(50)[/tex]

[tex]W=245000 J[/tex]

Therefore, the work done is 245000 J.

Answer : Work done, W = 245,000 J

Explanation :

It is given that,

Mass of the system, m = 500 kg

Distance, d = 50 m

According to the definition of work done, [tex]W=force\times displacement[/tex]

So, work done to lift the system of electric motor and a pulley is :

[tex]W=mg\times h[/tex]

[tex]W=500\ kg\times 9.8\ m/s^2\times 50\ m[/tex]

[tex]W=245,000\ J[/tex]

Hence, this is the required solution.