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Please reply ASAP. A girl weighing 45 kg jumps to a height of 0.5 m at the rate of 10 jumps per minute. Find the power at which she is spending energy.
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Please reply ASAP. A girl weighing 45 kg jumps to a height of 0.5 m at...
To calculate the power at which the girl is spending energy while jumping, we need to consider the work done against gravity and the time taken for the jumps.
1. Work Done Per Jump
- The formula for gravitational potential energy (work done) is:
Work = m * g * h
- Where:
- m = mass (45 kg)
- g = acceleration due to gravity (approximately 9.81 m/s²)
- h = height jumped (0.5 m)
- Calculation:
- Work = 45 kg * 9.81 m/s² * 0.5 m
- Work = 45 * 9.81 * 0.5 = 220.725 Joules (per jump)
2. Total Work Done in One Minute
- If she jumps 10 times per minute:
- Total Work = Work per jump * Number of jumps
- Total Work = 220.725 Joules * 10 = 2207.25 Joules
3. Power Calculation
- Power is defined as the rate at which work is done:
Power = Total Work / Time
- Here, the time for 10 jumps is 1 minute (60 seconds).
- Calculation:
- Power = 2207.25 Joules / 60 seconds
- Power = 36.7875 Watts
4. Conclusion
- The girl is spending energy at a power of approximately 36.79 Watts while jumping at the rate of 10 jumps per minute to a height of 0.5 meters. This indicates the energy expenditure associated with her physical activity.
1. Work Done Per Jump
- The formula for gravitational potential energy (work done) is:
Work = m * g * h
- Where:
- m = mass (45 kg)
- g = acceleration due to gravity (approximately 9.81 m/s²)
- h = height jumped (0.5 m)
- Calculation:
- Work = 45 kg * 9.81 m/s² * 0.5 m
- Work = 45 * 9.81 * 0.5 = 220.725 Joules (per jump)
2. Total Work Done in One Minute
- If she jumps 10 times per minute:
- Total Work = Work per jump * Number of jumps
- Total Work = 220.725 Joules * 10 = 2207.25 Joules
3. Power Calculation
- Power is defined as the rate at which work is done:
Power = Total Work / Time
- Here, the time for 10 jumps is 1 minute (60 seconds).
- Calculation:
- Power = 2207.25 Joules / 60 seconds
- Power = 36.7875 Watts
4. Conclusion
- The girl is spending energy at a power of approximately 36.79 Watts while jumping at the rate of 10 jumps per minute to a height of 0.5 meters. This indicates the energy expenditure associated with her physical activity.
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Please reply ASAP. A girl weighing 45 kg jumps to a height of 0.5 m at the rate of 10 jumps per minute. Find the power at which she is spending energy.
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Please reply ASAP. A girl weighing 45 kg jumps to a height of 0.5 m at the rate of 10 jumps 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 45 kg jumps to a height of 0.5 m at the rate of 10 jumps 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 45 kg jumps to a height of 0.5 m at the rate of 10 jumps per minute. Find the power at which she is spending energy..
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