A man whose mass is 50 kg moves up 15 steps each of height 15 cm in 45

1.	A man whose mass is 50 kg moves up 15 steps each of height 15 cm in 45 seconds of time. Calculate the power used in climbing those stairs. (g = 10 m/s2 )
Answer» Given Mass of Body (m) = 50 Kg, Time (t) = 45s, Height of each step = 15 cm, Acceleration due to gravity (g) = 10 m/s² . Now Weight = mg = 50×10 = 500N Height of staircase = 15 x \(\frac{15}{20}\) = 2.25 m (∵ 1m = 100 cm) Power = \(\frac{work}{Time}\) = \(\frac{mgh}{t}\) ⇒Power = \(\frac{500\times2.25}{45}\) = \(\frac{1125}{45}\) =25 Power = 25 Watt Power used in climbing stairs = 25 W

A man whose mass is 50 kg moves up 15 steps each of height 15 cm in 45 seconds of time. Calculate the power used in climbing those stairs. (g = 10 m/s2 )

Answer»

Given

Mass of Body (m) = 50 Kg,

Time (t) = 45s,

Height of each step = 15 cm,

Acceleration due to gravity (g) = 10 m/s² .

Now

Weight = mg = 50×10 = 500N

Height of staircase = 15 x \(\frac{15}{20}\) = 2.25 m

(∵ 1m = 100 cm)

Power = \(\frac{work}{Time}\) = \(\frac{mgh}{t}\)

⇒Power = \(\frac{500\times2.25}{45}\) = \(\frac{1125}{45}\) =25

Power = 25 Watt

Power used in climbing stairs = 25 W