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Can you explain the answer of this question below:
A particle is acted upon by a force of constant magnitude which is always perpendicular to the velocity of the particle. The motion of the particle takes place in a plane, it follows that [AIEEE 2004]
- A:Its velocity is constant
- B:Its acceleration is constant
- C:Its kinetic energy is constant
- D:It moves in straight line
The answer is c.
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Can you explain the answer of this question below:A particle is acted ...
When a force of constant magnitude acts on the velocity of a particle perpendicularly, then there is no change in the kinetic energy of the particle. Hence, kinetic energy remains constant.
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Can you explain the answer of this question below:A particle is acted ...
Motion of a Particle with a Constant Perpendicular Force
Introduction:
- In this scenario, a particle is subjected to a force of constant magnitude that is always perpendicular to the particle's velocity.
- The motion of the particle occurs in a plane.
Analysis of the Options:
a) Its velocity is constant:
- This option is incorrect because the force acting on the particle is always perpendicular to its velocity.
- Since the force is perpendicular, it does not affect the magnitude of the velocity.
- However, the direction of the velocity is constantly changing due to the perpendicular force, so the velocity is not constant.
b) Its acceleration is constant:
- This option is incorrect as well.
- Acceleration is defined as the rate of change of velocity with respect to time.
- Since the velocity is continuously changing due to the perpendicular force, the acceleration is not constant.
c) Its kinetic energy is constant:
- This option is correct.
- Kinetic energy is given by the equation: K.E. = 1/2 * m * v^2, where m is the mass of the particle and v is its velocity.
- Since the force acting on the particle is always perpendicular to its velocity, the magnitude of the velocity remains constant.
- As a result, the kinetic energy of the particle remains constant because the velocity term in the equation does not change.
d) It moves in a straight line:
- This option is incorrect.
- Since the force acting on the particle is always perpendicular to its velocity, the direction of the velocity constantly changes.
- As a result, the particle does not move in a straight line but follows a curved path.
Conclusion:
- The correct answer is option 'C': Its kinetic energy is constant.
- The force acting on the particle, being always perpendicular to its velocity, does not change the magnitude of the velocity.
- Consequently, the kinetic energy, which depends on the square of the velocity, remains constant.
Introduction:
- In this scenario, a particle is subjected to a force of constant magnitude that is always perpendicular to the particle's velocity.
- The motion of the particle occurs in a plane.
Analysis of the Options:
a) Its velocity is constant:
- This option is incorrect because the force acting on the particle is always perpendicular to its velocity.
- Since the force is perpendicular, it does not affect the magnitude of the velocity.
- However, the direction of the velocity is constantly changing due to the perpendicular force, so the velocity is not constant.
b) Its acceleration is constant:
- This option is incorrect as well.
- Acceleration is defined as the rate of change of velocity with respect to time.
- Since the velocity is continuously changing due to the perpendicular force, the acceleration is not constant.
c) Its kinetic energy is constant:
- This option is correct.
- Kinetic energy is given by the equation: K.E. = 1/2 * m * v^2, where m is the mass of the particle and v is its velocity.
- Since the force acting on the particle is always perpendicular to its velocity, the magnitude of the velocity remains constant.
- As a result, the kinetic energy of the particle remains constant because the velocity term in the equation does not change.
d) It moves in a straight line:
- This option is incorrect.
- Since the force acting on the particle is always perpendicular to its velocity, the direction of the velocity constantly changes.
- As a result, the particle does not move in a straight line but follows a curved path.
Conclusion:
- The correct answer is option 'C': Its kinetic energy is constant.
- The force acting on the particle, being always perpendicular to its velocity, does not change the magnitude of the velocity.
- Consequently, the kinetic energy, which depends on the square of the velocity, remains constant.
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Can you explain the answer of this question below:A particle is acted upon by a force of constant magnitude which is always perpendicular to the velocity of the particle. The motion of the particle takes place in a plane, it follows that [AIEEE 2004]A:Its velocity is constantB:Its acceleration is constantC:Its kinetic energy is constantD:It moves in straight lineThe answer is c.
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Can you explain the answer of this question below:A particle is acted upon by a force of constant magnitude which is always perpendicular to the velocity of the particle. The motion of the particle takes place in a plane, it follows that [AIEEE 2004]A:Its velocity is constantB:Its acceleration is constantC:Its kinetic energy is constantD:It moves in straight lineThe answer is c. 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 Can you explain the answer of this question below:A particle is acted upon by a force of constant magnitude which is always perpendicular to the velocity of the particle. The motion of the particle takes place in a plane, it follows that [AIEEE 2004]A:Its velocity is constantB:Its acceleration is constantC:Its kinetic energy is constantD:It moves in straight lineThe answer is c. covers all topics & solutions for Class 11 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Can you explain the answer of this question below:A particle is acted upon by a force of constant magnitude which is always perpendicular to the velocity of the particle. The motion of the particle takes place in a plane, it follows that [AIEEE 2004]A:Its velocity is constantB:Its acceleration is constantC:Its kinetic energy is constantD:It moves in straight lineThe answer is c..
Can you explain the answer of this question below:A particle is acted upon by a force of constant magnitude which is always perpendicular to the velocity of the particle. The motion of the particle takes place in a plane, it follows that [AIEEE 2004]A:Its velocity is constantB:Its acceleration is constantC:Its kinetic energy is constantD:It moves in straight lineThe answer is c. 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 Can you explain the answer of this question below:A particle is acted upon by a force of constant magnitude which is always perpendicular to the velocity of the particle. The motion of the particle takes place in a plane, it follows that [AIEEE 2004]A:Its velocity is constantB:Its acceleration is constantC:Its kinetic energy is constantD:It moves in straight lineThe answer is c. covers all topics & solutions for Class 11 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Can you explain the answer of this question below:A particle is acted upon by a force of constant magnitude which is always perpendicular to the velocity of the particle. The motion of the particle takes place in a plane, it follows that [AIEEE 2004]A:Its velocity is constantB:Its acceleration is constantC:Its kinetic energy is constantD:It moves in straight lineThe answer is c..
Solutions for Can you explain the answer of this question below:A particle is acted upon by a force of constant magnitude which is always perpendicular to the velocity of the particle. The motion of the particle takes place in a plane, it follows that [AIEEE 2004]A:Its velocity is constantB:Its acceleration is constantC:Its kinetic energy is constantD:It moves in straight lineThe answer is c. in English & in Hindi are available as part of our courses for Class 11.
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