Calculating Work for Climbing Stairs

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The calculation of work done when a 75-kg person climbs a flight of stairs 10 meters high results in 7357.5 joules, confirming option E as the correct answer. The formula used is W = (f)(d), where force (f) is derived from f = ma, with 'm' being the mass (75 kg) and 'a' the acceleration due to gravity (9.81 m/s²). The force calculated is 735.75 N, leading to the final work calculation of W = 735.75 N * 10 m.

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How much work is done when a 75-kg person climbs a flight of stairs 10 m high at a constant speed

A.) 7.35 * 10^5 j
B.) 750 j
c.) 75 j
D.) 7500 j
E.) 7350 J


W = (f)(d)
f = ma
W= (ma)(d)



Now I'm assuming that the force is parallel to the stairs (distance as the person walks up the stairs)

so I found the force
f = ma
f= (75)(9.81) = 735.75


then I solved for work
W = (f)(d)
W = 735.75(10)
W = 7357.5 j

answer E

I'm new to to work so I just want to clarify if I'm doing the problem right or wrong
If I made any errors please feel free to correct me
We learn by our mistakes after all

Thank You
 
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Your answer is correct. Work is just force acting over a distance. Here, the force is the weight of the person (force of gravity), and the distance is the height of the steps.
 

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