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Stan does 178 J of work lifting himself 0.5 m. What is Stan’s mass? The acceleration of gravity is 9.8 m/s 2 . Answer in units of kg

Respuesta :

spiper
Work= (force)(distance)
178= m(9.81)x0.5
178=m(4.905)
178/4.905=m

His mass is 36.3 kg

Answer:

The mass is 36.33 kilograms.

Explanation:

The work is defined as the force needed to move an object a certain distance, if there's no change of position, there's no work.

In this case, the work is defined:

[tex]W=Fd[/tex]

Where [tex]F[/tex] is the weight defined with the following equation

[tex]F=W=mg[/tex]

Now, we'll replace all given values and solve for [tex]m[/tex]:

[tex]W=mgy\\178=m(9.8)(0.5)\\m=\frac{178}{4.9}=36.33 kg[/tex]

Therefore, the mass is 36.33 kilograms.