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For motion under an external conservative force
- a)the mechanical energy i.e. the potential energy of a body is a constant
- b)the total mechanical energy i.e. the sum of kinetic and potential energy of a body is a constant only if there is no motion
- c)the total mechanical energy i.e. the sum of kinetic and potential energy of a body is a constant
- d)the mechanical energy i.e. the kinetic energy of a body is a constant
Correct answer is option 'C'. Can you explain this answer?
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Verified Answer
For motion under an external conservative forcea)the mechanical energy...
The gravitational force, spring force, magnetic force (according to some definitions, see below) and electric force (at least in a time-independent magnetic field, see Faraday's law of induction for details) are examples of conservative forces, while friction and air drag are classical examples of non-conservative .
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For motion under an external conservative forcea)the mechanical energy...
Explanation:
Motion under an external conservative force is a type of motion in which the force acting on the body is conservative, i.e., it can be derived from a potential energy function.
Total Mechanical Energy:
The total mechanical energy of a body is the sum of its kinetic energy and potential energy.
- Kinetic Energy: The energy possessed by a body due to its motion is called kinetic energy. It is given by the formula KE = 1/2mv², where m is the mass of the body and v is its velocity.
- Potential Energy: The energy possessed by a body due to its position or configuration is called potential energy. It is given by the formula PE = mgh, where m is the mass of the body, g is the acceleration due to gravity, and h is the height of the body above a reference level.
Conservation of Mechanical Energy:
In motion under an external conservative force, the total mechanical energy of a body is conserved, i.e., it remains constant throughout the motion.
This can be explained by the principle of conservation of energy, which states that energy can neither be created nor destroyed, but can only be transferred from one form to another.
Since the force acting on the body is conservative, the work done by it is independent of the path taken by the body. Therefore, the work done by the force can be expressed as the difference between the initial and final potential energies of the body.
If the body is moving, then its kinetic energy is also changing. However, the total mechanical energy of the body remains constant, as the increase in kinetic energy is compensated by the decrease in potential energy, and vice versa.
Therefore, the correct option is (c) The total mechanical energy i.e. the sum of kinetic and potential energy of a body is a constant.
Motion under an external conservative force is a type of motion in which the force acting on the body is conservative, i.e., it can be derived from a potential energy function.
Total Mechanical Energy:
The total mechanical energy of a body is the sum of its kinetic energy and potential energy.
- Kinetic Energy: The energy possessed by a body due to its motion is called kinetic energy. It is given by the formula KE = 1/2mv², where m is the mass of the body and v is its velocity.
- Potential Energy: The energy possessed by a body due to its position or configuration is called potential energy. It is given by the formula PE = mgh, where m is the mass of the body, g is the acceleration due to gravity, and h is the height of the body above a reference level.
Conservation of Mechanical Energy:
In motion under an external conservative force, the total mechanical energy of a body is conserved, i.e., it remains constant throughout the motion.
This can be explained by the principle of conservation of energy, which states that energy can neither be created nor destroyed, but can only be transferred from one form to another.
Since the force acting on the body is conservative, the work done by it is independent of the path taken by the body. Therefore, the work done by the force can be expressed as the difference between the initial and final potential energies of the body.
If the body is moving, then its kinetic energy is also changing. However, the total mechanical energy of the body remains constant, as the increase in kinetic energy is compensated by the decrease in potential energy, and vice versa.
Therefore, the correct option is (c) The total mechanical energy i.e. the sum of kinetic and potential energy of a body is a constant.
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For motion under an external conservative forcea)the mechanical energy...
The total MECHANICAL ENERGY =The sum of KINETIC and POTENTIAL ENERGY of a body is a CONSTANT.
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For motion under an external conservative forcea)the mechanical energy i.e. the potential energy of a body is a constantb)the total mechanical energy i.e. the sum of kinetic and potential energy of a body is a constant only if there is no motionc)the total mechanical energy i.e. the sum of kinetic and potential energy of a body is a constantd)the mechanical energy i.e. the kinetic energy of a body is a constantCorrect answer is option 'C'. Can you explain this answer?
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For motion under an external conservative forcea)the mechanical energy i.e. the potential energy of a body is a constantb)the total mechanical energy i.e. the sum of kinetic and potential energy of a body is a constant only if there is no motionc)the total mechanical energy i.e. the sum of kinetic and potential energy of a body is a constantd)the mechanical energy i.e. the kinetic energy of a body is a constantCorrect answer is option 'C'. Can you explain this answer? 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 For motion under an external conservative forcea)the mechanical energy i.e. the potential energy of a body is a constantb)the total mechanical energy i.e. the sum of kinetic and potential energy of a body is a constant only if there is no motionc)the total mechanical energy i.e. the sum of kinetic and potential energy of a body is a constantd)the mechanical energy i.e. the kinetic energy of a body is a constantCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for Class 11 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for For motion under an external conservative forcea)the mechanical energy i.e. the potential energy of a body is a constantb)the total mechanical energy i.e. the sum of kinetic and potential energy of a body is a constant only if there is no motionc)the total mechanical energy i.e. the sum of kinetic and potential energy of a body is a constantd)the mechanical energy i.e. the kinetic energy of a body is a constantCorrect answer is option 'C'. Can you explain this answer?.
For motion under an external conservative forcea)the mechanical energy i.e. the potential energy of a body is a constantb)the total mechanical energy i.e. the sum of kinetic and potential energy of a body is a constant only if there is no motionc)the total mechanical energy i.e. the sum of kinetic and potential energy of a body is a constantd)the mechanical energy i.e. the kinetic energy of a body is a constantCorrect answer is option 'C'. Can you explain this answer? 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 For motion under an external conservative forcea)the mechanical energy i.e. the potential energy of a body is a constantb)the total mechanical energy i.e. the sum of kinetic and potential energy of a body is a constant only if there is no motionc)the total mechanical energy i.e. the sum of kinetic and potential energy of a body is a constantd)the mechanical energy i.e. the kinetic energy of a body is a constantCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for Class 11 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for For motion under an external conservative forcea)the mechanical energy i.e. the potential energy of a body is a constantb)the total mechanical energy i.e. the sum of kinetic and potential energy of a body is a constant only if there is no motionc)the total mechanical energy i.e. the sum of kinetic and potential energy of a body is a constantd)the mechanical energy i.e. the kinetic energy of a body is a constantCorrect answer is option 'C'. Can you explain this answer?.
Solutions for For motion under an external conservative forcea)the mechanical energy i.e. the potential energy of a body is a constantb)the total mechanical energy i.e. the sum of kinetic and potential energy of a body is a constant only if there is no motionc)the total mechanical energy i.e. the sum of kinetic and potential energy of a body is a constantd)the mechanical energy i.e. the kinetic energy of a body is a constantCorrect answer is option 'C'. Can you explain this answer? in English & in Hindi are available as part of our courses for Class 11.
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ample number of questions to practice For motion under an external conservative forcea)the mechanical energy i.e. the potential energy of a body is a constantb)the total mechanical energy i.e. the sum of kinetic and potential energy of a body is a constant only if there is no motionc)the total mechanical energy i.e. the sum of kinetic and potential energy of a body is a constantd)the mechanical energy i.e. the kinetic energy of a body is a constantCorrect answer is option 'C'. Can you explain this answer? tests, examples and also practice Class 11 tests.
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