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A girl of mass 40 kg climbs 50 stairs of average height 20 cm each in 50 seconds. Find the power of the girl. (Take g = 10 m/s2)

Question

A girl of mass 40 kg climbs 50 stairs of average height 20 cm each in 50 seconds. Find the power of the girl. (Take g = 10 m/s2)

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Solution

Sure, here's how to solve this problem:

Step 1: First, we need to calculate the total height climbed by the girl. Since each stair is 20 cm high and there are 50 stairs, the total height is 20 cm x 50 = 1000 cm. But we need the height in meters, so we convert it by dividing by 100. So, the total height in meters is 1000 cm / 100 = 10 m.

Step 2: Next, we calculate the work done by the girl. The formula for work done is mass x gravity x height. Here, the mass (m) is 40 kg, gravity (g) is 10 m/s², and height (h) is 10 m. So, the work done is 40 kg x 10 m/s² x 10 m = 4000 J (Joules).

Step 3: Finally, we calculate the power. The formula for power is work done / time. Here, the work done is 4000 J and the time (t) is 50 s. So, the power is 4000 J / 50 s = 80 W (Watts).

So, the power of the girl is 80 Watts.

This problem has been solved

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