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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

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

His mass is 36.3 kg
User Avinash Agrawal
by
8.2k points
7 votes

Answer:

The mass is 36.33 kilograms.

Step-by-step 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:


W=Fd

Where
F is the weight defined with the following equation


F=W=mg

Now, we'll replace all given values and solve for
m:


W=mgy\\178=m(9.8)(0.5)\\m=(178)/(4.9)=36.33 kg

Therefore, the mass is 36.33 kilograms.

User Nathan Goings
by
8.1k points