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A girl of mass 60 kg (weight 600 N) climbed a 6 m high stairs in 15 seconds - Junior Cycle Science - Question c - 2006

Question c

A girl of mass 60 kg (weight 600 N) climbed a 6 m high stairs in 15 seconds. Calculate the work she did and the average power she developed while climbing the stair... show full transcript

Worked Solution & Example Answer:A girl of mass 60 kg (weight 600 N) climbed a 6 m high stairs in 15 seconds - Junior Cycle Science - Question c - 2006

Step 1

Calculate the work she did

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Answer

The work done against gravity can be calculated using the formula:

$W = F imes d$

where:

$W$ is the work done,
$F$ is the force (weight of the girl), and
$d$ is the height climbed.

Given that the weight of the girl is 600 N and she climbs a height of 6 m:

$W = 600 ext{ N} imes 6 ext{ m} = 3600 ext{ J}$

Thus, the work done is 3600 Joules.

Step 2

Calculate the average power she developed

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Answer

The average power can be calculated using the formula:

$P = rac{W}{t}$

where:

$P$ is the power,
$W$ is the work done, and
$t$ is the time taken.

From the previous calculation, we have $W = 3600 ext{ J}$ and $t = 15 ext{ s}$ :

$P = rac{3600 ext{ J}}{15 ext{ s}} = 240 ext{ W}$

Thus, the average power developed is 240 Watts.

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