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Please reply ASAP A girl weighing 45kg jumps to a height of 0.5 m at the rate of 10 times per minute. Find the power at which she is spending energy???
Most Upvoted Answer
Please reply ASAP A girl weighing 45kg jumps to a height of 0.5 m at t...
Understanding the Problem
To find the power at which the girl is expending energy while jumping, we need to calculate the work done and the time taken for her jumps.
Calculating Work Done per Jump
- The work done (W) against gravity on each jump can be calculated using the formula:
W = m * g * h
Where:
- m = mass (45 kg)
- g = acceleration due to gravity (approximately 9.81 m/s²)
- h = height jumped (0.5 m)
- Substituting the values:
W = 45 kg * 9.81 m/s² * 0.5 m = 220.725 Joules
Calculating Total Work Done in One Minute
- Since she jumps 10 times per minute, the total work done in one minute (W_total) is:
W_total = W * number of jumps
W_total = 220.725 Joules * 10 = 2207.25 Joules
Calculating Power
- Power (P) is the rate of doing work and can be calculated using the formula:
P = W_total / time
- The time for one minute is 60 seconds. Thus:
P = 2207.25 Joules / 60 seconds = 36.7875 Watts
Conclusion
The power at which the girl is expending energy while jumping is approximately 36.79 Watts. This calculation demonstrates the energy required for her physical activity and provides insight into her exertion level during jumping.
To find the power at which the girl is expending energy while jumping, we need to calculate the work done and the time taken for her jumps.
Calculating Work Done per Jump
- The work done (W) against gravity on each jump can be calculated using the formula:
W = m * g * h
Where:
- m = mass (45 kg)
- g = acceleration due to gravity (approximately 9.81 m/s²)
- h = height jumped (0.5 m)
- Substituting the values:
W = 45 kg * 9.81 m/s² * 0.5 m = 220.725 Joules
Calculating Total Work Done in One Minute
- Since she jumps 10 times per minute, the total work done in one minute (W_total) is:
W_total = W * number of jumps
W_total = 220.725 Joules * 10 = 2207.25 Joules
Calculating Power
- Power (P) is the rate of doing work and can be calculated using the formula:
P = W_total / time
- The time for one minute is 60 seconds. Thus:
P = 2207.25 Joules / 60 seconds = 36.7875 Watts
Conclusion
The power at which the girl is expending energy while jumping is approximately 36.79 Watts. This calculation demonstrates the energy required for her physical activity and provides insight into her exertion level during jumping.
Community Answer
Please reply ASAP A girl weighing 45kg jumps to a height of 0.5 m at t...
22.5 watt(by taking the value of g=10)
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Please reply ASAP A girl weighing 45kg jumps to a height of 0.5 m at the rate of 10 times per minute. Find the power at which she is spending energy???
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Please reply ASAP A girl weighing 45kg jumps to a height of 0.5 m at the rate of 10 times per minute. Find the power at which she is spending energy??? for Class 9 2025 is part of Class 9 preparation. The Question and answers have been prepared according to the Class 9 exam syllabus. Information about Please reply ASAP A girl weighing 45kg jumps to a height of 0.5 m at the rate of 10 times per minute. Find the power at which she is spending energy??? covers all topics & solutions for Class 9 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Please reply ASAP A girl weighing 45kg jumps to a height of 0.5 m at the rate of 10 times per minute. Find the power at which she is spending energy???.
Please reply ASAP A girl weighing 45kg jumps to a height of 0.5 m at the rate of 10 times per minute. Find the power at which she is spending energy??? for Class 9 2025 is part of Class 9 preparation. The Question and answers have been prepared according to the Class 9 exam syllabus. Information about Please reply ASAP A girl weighing 45kg jumps to a height of 0.5 m at the rate of 10 times per minute. Find the power at which she is spending energy??? covers all topics & solutions for Class 9 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Please reply ASAP A girl weighing 45kg jumps to a height of 0.5 m at the rate of 10 times per minute. Find the power at which she is spending energy???.
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