60 kg man runs up a staircase in 12 sec while a 50 kg man runs up the same staircase in 11 sec ,the ratio of rate of doing their work is. a)6:5 b)12:11 c)11:10 d) 10:11
Answers
The ratio of rate of doing their work is 11 : 10.
Explanation:
=> According to question, 60 kg man runs up a staircase in 12 sec.
m₁ = 60 kg
t₁ = 12 sec
=> A 50 kg man runs up the same staircase in 11 sec:
m₂ = 50 kg
t₂ = 11 sec
=> Rate of work done is equals to power.
∴ P = E/ t and E = mgh
∴ P₁ = m₁gh / t₁
P₂ = m₂gh/ t₂
=> The ratio of Power or Rate of work done is:
P₁/P₂ = m₁gh / t₁ / m₂gh/ t₂
= m₁ * t₂ / m₂ * t₁
= 60 * 11 / 50 * 12
= 11 : 10
Thus, the ratio of rate of doing their work is 11 : 10.
Learn more :
Q:1 A boy take 3 minutes to lift a 20 litre water bucket from a 20 m deep well while his father does it in 2 minutes.(a) compare:(i)the work and (ii)power developed by them.(b) How much work each does?
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Q:2 A constant force of 2.5 N accelerates a stationary particle of mass 15 g through a displacement of 2.50 m. Find the work done and the average power delivered.
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Answer:
Therefore , the answers to your given question is
11 : 10
Hope you understand the solution
Thank you
