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A man of 60 kgs gains 1000 calories of heat by eating 5 mangoes his efficiency is 56% to what height he can jump by using this energy options a a is 4m b is 20m c is 28m d is 0.2m??? explain clearly?
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A man of 60 kgs gains 1000 calories of heat by eating 5 mangoes his ef...
Understanding the Problem
To determine how high a man can jump using the energy gained from eating 5 mangoes, we first need to analyze the data provided.
Energy Gained
- The man gains 1000 calories from eating the mangoes.
- His efficiency is 56%, meaning only 56% of that energy will be converted into useful work for jumping.
Useful Energy Calculation
- Calculate the useful energy:
- Useful Energy = Total Energy x Efficiency
- Useful Energy = 1000 calories x 0.56 = 560 calories
Conversion to Joules
- Convert calories to joules (1 calorie = 4.184 joules):
- Useful Energy in Joules = 560 calories x 4.184 = 2343.04 joules
Potential Energy and Jump Height
- The potential energy (PE) at the height (h) can be expressed as:
- PE = mgh
- Where m = mass (60 kg), g = acceleration due to gravity (approximately 9.81 m/s²), and h = height.
Solving for Height
- Rearranging the formula for height:
- h = PE / (mg)
- h = 2343.04 J / (60 kg x 9.81 m/s²)
- h = 2343.04 J / 588.6 N ≈ 3.98 m
Conclusion
- The calculated jump height is approximately 4 meters.
Thus, the correct answer is Option A: 4m.
To determine how high a man can jump using the energy gained from eating 5 mangoes, we first need to analyze the data provided.
Energy Gained
- The man gains 1000 calories from eating the mangoes.
- His efficiency is 56%, meaning only 56% of that energy will be converted into useful work for jumping.
Useful Energy Calculation
- Calculate the useful energy:
- Useful Energy = Total Energy x Efficiency
- Useful Energy = 1000 calories x 0.56 = 560 calories
Conversion to Joules
- Convert calories to joules (1 calorie = 4.184 joules):
- Useful Energy in Joules = 560 calories x 4.184 = 2343.04 joules
Potential Energy and Jump Height
- The potential energy (PE) at the height (h) can be expressed as:
- PE = mgh
- Where m = mass (60 kg), g = acceleration due to gravity (approximately 9.81 m/s²), and h = height.
Solving for Height
- Rearranging the formula for height:
- h = PE / (mg)
- h = 2343.04 J / (60 kg x 9.81 m/s²)
- h = 2343.04 J / 588.6 N ≈ 3.98 m
Conclusion
- The calculated jump height is approximately 4 meters.
Thus, the correct answer is Option A: 4m.
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A man of 60 kgs gains 1000 calories of heat by eating 5 mangoes his efficiency is 56% to what height he can jump by using this energy options a a is 4m b is 20m c is 28m d is 0.2m??? explain clearly?
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A man of 60 kgs gains 1000 calories of heat by eating 5 mangoes his efficiency is 56% to what height he can jump by using this energy options a a is 4m b is 20m c is 28m d is 0.2m??? explain clearly? for Class 11 2024 is part of Class 11 preparation. The Question and answers have been prepared according to the Class 11 exam syllabus. Information about A man of 60 kgs gains 1000 calories of heat by eating 5 mangoes his efficiency is 56% to what height he can jump by using this energy options a a is 4m b is 20m c is 28m d is 0.2m??? explain clearly? covers all topics & solutions for Class 11 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A man of 60 kgs gains 1000 calories of heat by eating 5 mangoes his efficiency is 56% to what height he can jump by using this energy options a a is 4m b is 20m c is 28m d is 0.2m??? explain clearly?.
A man of 60 kgs gains 1000 calories of heat by eating 5 mangoes his efficiency is 56% to what height he can jump by using this energy options a a is 4m b is 20m c is 28m d is 0.2m??? explain clearly? for Class 11 2024 is part of Class 11 preparation. The Question and answers have been prepared according to the Class 11 exam syllabus. Information about A man of 60 kgs gains 1000 calories of heat by eating 5 mangoes his efficiency is 56% to what height he can jump by using this energy options a a is 4m b is 20m c is 28m d is 0.2m??? explain clearly? covers all topics & solutions for Class 11 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A man of 60 kgs gains 1000 calories of heat by eating 5 mangoes his efficiency is 56% to what height he can jump by using this energy options a a is 4m b is 20m c is 28m d is 0.2m??? explain clearly?.
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