two boys Aand B weighing 60 kg and 40 kg respectively climb on a staircase each carrying a load of 20 kg on the head .the staircase has 10 steps each of height 50 cm.if A takes 20 seconds to climb and b takes 10 s to climb then
a)who possess greater power
b) what is the ratio of their powers
Answers
Answer:
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Answer:
Among the two boys B possess greater power and ratio of their power is 2:3.
Explanation:
For A
Mass= 60 kg
Load=20 kg
Total height=10×50cm=500cm=5m
Total work done by the boy in covering 10 steps is,
(1)
where,
W=work done
M=total mass of the boy and the load=60kg+20kg=80kg
By putting the required values in equation (1) we get;
(2)
Now we have to calculate power,
(3)
Where,
P=power
W=work done
t=time
By substituting the required values in equation (2) we get;
(4)
For B
Mass=40 kg
Load=20 kg
Total height=5m
Total work done by the boy in covering 10 steps is,
(5)
Now we have to calculate power,
(6)
Now as per the question,
(a) From the equations (4) and (6) we can see that B has greater power.
(b) The ratio of power is,
Hence, among the two boys B possess greater power and ratio of their power is 2:3.