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A body of mass 30 kg is falling from a height 40 m . after it has fallen a height 10 m what will be its :potential energy and kinetic energy?
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A body of mass 30 kg is falling from a height 40 m . after it has fall...
Calculating Potential and Kinetic Energy
Given Data:
- Mass (m) = 30 kg
- Initial height (h1) = 40 m
- Final height (h2) = 10 m
- Acceleration due to gravity (g) = 9.8 m/s^2
Step 1: Calculate Potential Energy at Initial Height (PE1)
Potential Energy (PE) = mgh
PE1 = 30 kg * 9.8 m/s^2 * 40 m
PE1 = 11760 J
Step 2: Calculate Kinetic Energy at Initial Height (KE1)
At the initial height, all potential energy is converted to kinetic energy.
KE1 = PE1
KE1 = 11760 J
Step 3: Calculate Potential Energy at Final Height (PE2)
PE2 = mgh2
PE2 = 30 kg * 9.8 m/s^2 * 10 m
PE2 = 2940 J
Step 4: Calculate Kinetic Energy at Final Height (KE2)
Since there is no external work done, the total mechanical energy (PE + KE) remains constant.
KE2 = PE1 - PE2
KE2 = 11760 J - 2940 J
KE2 = 8820 J
Result:
- Potential Energy at 10 m height (PE2) = 2940 J
- Kinetic Energy at 10 m height (KE2) = 8820 J
In this scenario, as the body falls from 40 m to 10 m, the potential energy decreases while the kinetic energy increases, following the conservation of mechanical energy principle.
Given Data:
- Mass (m) = 30 kg
- Initial height (h1) = 40 m
- Final height (h2) = 10 m
- Acceleration due to gravity (g) = 9.8 m/s^2
Step 1: Calculate Potential Energy at Initial Height (PE1)
Potential Energy (PE) = mgh
PE1 = 30 kg * 9.8 m/s^2 * 40 m
PE1 = 11760 J
Step 2: Calculate Kinetic Energy at Initial Height (KE1)
At the initial height, all potential energy is converted to kinetic energy.
KE1 = PE1
KE1 = 11760 J
Step 3: Calculate Potential Energy at Final Height (PE2)
PE2 = mgh2
PE2 = 30 kg * 9.8 m/s^2 * 10 m
PE2 = 2940 J
Step 4: Calculate Kinetic Energy at Final Height (KE2)
Since there is no external work done, the total mechanical energy (PE + KE) remains constant.
KE2 = PE1 - PE2
KE2 = 11760 J - 2940 J
KE2 = 8820 J
Result:
- Potential Energy at 10 m height (PE2) = 2940 J
- Kinetic Energy at 10 m height (KE2) = 8820 J
In this scenario, as the body falls from 40 m to 10 m, the potential energy decreases while the kinetic energy increases, following the conservation of mechanical energy principle.
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A body of mass 30 kg is falling from a height 40 m . after it has fallen a height 10 m what will be its :potential energy and kinetic energy?
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A body of mass 30 kg is falling from a height 40 m . after it has fallen a height 10 m what will be its :potential energy and kinetic energy? 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 A body of mass 30 kg is falling from a height 40 m . after it has fallen a height 10 m what will be its :potential energy and kinetic energy? covers all topics & solutions for Class 9 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A body of mass 30 kg is falling from a height 40 m . after it has fallen a height 10 m what will be its :potential energy and kinetic energy?.
A body of mass 30 kg is falling from a height 40 m . after it has fallen a height 10 m what will be its :potential energy and kinetic energy? 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 A body of mass 30 kg is falling from a height 40 m . after it has fallen a height 10 m what will be its :potential energy and kinetic energy? covers all topics & solutions for Class 9 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A body of mass 30 kg is falling from a height 40 m . after it has fallen a height 10 m what will be its :potential energy and kinetic energy?.
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