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Calculate the power of the student based on following measures:- (Note- he has done work by running steps on a staircase) Number of steps- 28 Height of each step- 20 cm Time Taken- 5.4 seconds Mass of student- 55 kg Acceleration due to gravity- 9.8 m/s² Answer is 559 W Just don't know how to calculate this Please help!?
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Calculate the power of the student based on following measures:- (Note...
Calculation of Power of the Student

To calculate the power of the student, we need to use the formula:

Power = Work done / Time taken

To calculate the work done by the student, we need to find the gravitational potential energy he gained by climbing the steps. The formula for gravitational potential energy is:

Gravitational potential energy = Mass x Gravity x Height

Given:

Number of steps = 28
Height of each step = 20 cm = 0.2 m
Mass of student = 55 kg
Acceleration due to gravity = 9.8 m/s²
Time taken = 5.4 seconds

1. Calculation of Height Climbed

Total height climbed by the student can be calculated as:

Height climbed = 28 x 0.2 m = 5.6 m

2. Calculation of Work Done

The work done by the student is equal to the gravitational potential energy gained by him, which can be calculated as:

Work done = Gravitational potential energy = Mass x Gravity x Height

Work done = 55 kg x 9.8 m/s² x 5.6 m = 3058.4 J

3. Calculation of Power

The power of the student can be calculated as:

Power = Work done / Time taken

Power = 3058.4 J / 5.4 s = 566.07 W

Therefore, the power of the student is 566.07 W (approx. 559 W).

Conclusion

The power of the student can be calculated by finding the work done by him and dividing it by the time taken. The work done can be calculated by finding the gravitational potential energy gained by the student, which can be calculated using the mass, gravity, and height climbed.
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Calculate the power of the student based on following measures:- (Note- he has done work by running steps on a staircase) Number of steps- 28 Height of each step- 20 cm Time Taken- 5.4 seconds Mass of student- 55 kg Acceleration due to gravity- 9.8 m/s² Answer is 559 W Just don't know how to calculate this Please help!?
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Calculate the power of the student based on following measures:- (Note- he has done work by running steps on a staircase) Number of steps- 28 Height of each step- 20 cm Time Taken- 5.4 seconds Mass of student- 55 kg Acceleration due to gravity- 9.8 m/s² Answer is 559 W Just don't know how to calculate this Please help!? for Class 9 2024 is part of Class 9 preparation. The Question and answers have been prepared according to the Class 9 exam syllabus. Information about Calculate the power of the student based on following measures:- (Note- he has done work by running steps on a staircase) Number of steps- 28 Height of each step- 20 cm Time Taken- 5.4 seconds Mass of student- 55 kg Acceleration due to gravity- 9.8 m/s² Answer is 559 W Just don't know how to calculate this Please help!? covers all topics & solutions for Class 9 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Calculate the power of the student based on following measures:- (Note- he has done work by running steps on a staircase) Number of steps- 28 Height of each step- 20 cm Time Taken- 5.4 seconds Mass of student- 55 kg Acceleration due to gravity- 9.8 m/s² Answer is 559 W Just don't know how to calculate this Please help!?.
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