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If a man takes an object of 80 kg weight to a certain height in time 12 sec and another man takes an object of 60 kg weight to the same height in 11 sec, then find the ratio of the power 
  • a)
    11 : 9
  • b)
    9 : 11
  • c)
    12 : 11
  • d)
    11 : 12
Correct answer is option 'A'. Can you explain this answer?
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Verified Answer
If a man takes an object of 80 kg weight to a certain height in time 1...
Concept:
  • Power: The rate of work done is called power.
    • It is denoted by P.
    • Mathematically it is written as
Calculation
Given - mass of 1st person (m1) = 80 kg, mass of 2nd person (m2) = 60 kg, time (t1) = 12 sec, and time (t2) = 11 sec​
  • The power to take an object to a certain height in 12 sec by 1st person is 
  • The power to take an object to a certain height in 11 sec by 2nd person is 
On dividing equations 1 and 2, we get
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Most Upvoted Answer
If a man takes an object of 80 kg weight to a certain height in time 1...
Understanding Power Calculation
Power is defined as the rate at which work is done or energy is transferred. The formula to calculate power is:
Power = Work done / Time taken
In this scenario, we need to calculate the power for both men lifting their respective weights to the same height.
Calculating Work Done
The work done (W) in lifting an object can be calculated using the formula:
Work done = Weight x Height
Since both objects are lifted to the same height, we can denote the height as 'h'.
For the first man:
- Weight (W1) = 80 kg
- Time (T1) = 12 sec
- Work done (W1) = 80 kg * h
For the second man:
- Weight (W2) = 60 kg
- Time (T2) = 11 sec
- Work done (W2) = 60 kg * h
Calculating Power for Each Man
Now we can find the power for each man.
For the first man:
Power (P1) = Work done / Time
= (80h) / 12
= 80h / 12
For the second man:
Power (P2) = Work done / Time
= (60h) / 11
= 60h / 11
Calculating the Ratio of Power
To find the ratio of their powers P1 : P2:
P1 : P2 = (80h / 12) : (60h / 11)
Since 'h' cancels out, we focus on the coefficients:
P1 : P2 = (80 / 12) : (60 / 11)
Cross-multiplying gives:
80 * 11 : 60 * 12
Which simplifies to:
880 : 720
This can be reduced to:
11 : 9
Conclusion
Thus, the ratio of the power exerted by the two men is 11 : 9, confirming that the correct answer is option 'A'.
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If a man takes an object of 80 kg weight to a certain height in time 12 sec and another man takes an objectof 60 kg weight to the same height in 11 sec, then find the ratio of the powera)11 : 9b)9 : 11c)12 : 11d)11 : 12Correct answer is option 'A'. Can you explain this answer?
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