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Mary takes 6.0 seconds to run up a flight of stairs that is 102 meters long. if mary's weight is 87 newtons, what power has mary exerted?

Verified Answer :

Thank you for posting your question here at brainly. I hope the answer will help. Below are the choices that can be found elsewhere:

 A. 1.5 10^3 Watts 
B. 7.3
10^2 Watts 
C. 3.5 10^2 Watts 
D. 2.5
10^2 Watts

 Work = forcedisplacement = 10^287 = 8,700 joule 
Power = work/time = 8,700/6 = 1.45*10^3 (rounded up to 1.5 kw). The answer is A. 

Answer: 1479 W

Explanation:

The work done by Mary is equal to its gain in gravitational potential energy, which is equal to

\(W=\Delta U=mg\Delta h\)

where

\(mg=87 N\) is Mary's weight

\(\Delta h=102 m\) is the distance

Substituting,

\(W=(mg)(d)=(87 N)(102 m)=8,874 J\)

And the power is equal to the ratio between the work done and the time taken:

\(P=\frac{W}{t}=\frac{8,874 J}{6.0 s}=1479 W=1.48 kW\)