NEET Exam > NEET Questions > A particle of mass M is moving in a circle o...
Start Learning for Free
A particle of mass M is moving in a circle of fixed radius R in such a way that its centripetal acceleration at time t is given by n2R t2 where n is a constant. The power delivered to the particle by the force acting on it, is :
- a)1/2 M n2R2t2
- b)M n2R2t
- c)M n R2t2
- d)M n R2t
Correct answer is option 'B'. Can you explain this answer?
| FREE This question is part of | Download PDF Attempt this Test |
Verified Answer
A particle of mass M is moving in a circle of fixed radius R in such ...
Centripetal acceleration ac = n2Rt2
View all questions of this test
ac = v2/R = n2Rt2
V2 = n2R2t2
v = nRt
ac = dv/dt = nR
Power = matv = m nR nRt = Mn2R2t
Most Upvoted Answer
A particle of mass M is moving in a circle of fixed radius R in such ...
Given:
- Mass of the particle, M
- Radius of the circle, R
- Centripetal acceleration at time t, n^2Rt^2
- Constant, n
To find:
The power delivered to the particle by the force acting on it.
Solution:
The power delivered to a particle is given by the equation:
Power = Force x Velocity
1. Finding the force:
The force acting on the particle is the centripetal force, which is given by the equation:
Force = Mass x Centripetal Acceleration
Substituting the given values, we have:
Force = M x n^2Rt^2
2. Finding the velocity:
The velocity of the particle moving in a circle can be found using the formula:
Velocity = 2πR/T
where T is the time period of one complete revolution.
The time period of one complete revolution can be found using the equation:
Centripetal Acceleration = 4π^2R/T^2
Substituting the given centripetal acceleration expression, we have:
n^2Rt^2 = 4π^2R/T^2
Simplifying the equation, we get:
T^2 = 4π^2/n^2
Taking square root on both sides, we have:
T = (2π/n)
Now, substituting this value of T in the velocity equation, we get:
Velocity = 2πR/(2π/n)
Velocity = nR
3. Calculating the power:
Now that we have the force and velocity, we can calculate the power using the equation:
Power = Force x Velocity
Substituting the values, we have:
Power = (M x n^2Rt^2) x (nR)
Power = Mn^2R^2t^2
Therefore, the power delivered to the particle by the force acting on it is Mn^2R^2t^2, which corresponds to option B.
- Mass of the particle, M
- Radius of the circle, R
- Centripetal acceleration at time t, n^2Rt^2
- Constant, n
To find:
The power delivered to the particle by the force acting on it.
Solution:
The power delivered to a particle is given by the equation:
Power = Force x Velocity
1. Finding the force:
The force acting on the particle is the centripetal force, which is given by the equation:
Force = Mass x Centripetal Acceleration
Substituting the given values, we have:
Force = M x n^2Rt^2
2. Finding the velocity:
The velocity of the particle moving in a circle can be found using the formula:
Velocity = 2πR/T
where T is the time period of one complete revolution.
The time period of one complete revolution can be found using the equation:
Centripetal Acceleration = 4π^2R/T^2
Substituting the given centripetal acceleration expression, we have:
n^2Rt^2 = 4π^2R/T^2
Simplifying the equation, we get:
T^2 = 4π^2/n^2
Taking square root on both sides, we have:
T = (2π/n)
Now, substituting this value of T in the velocity equation, we get:
Velocity = 2πR/(2π/n)
Velocity = nR
3. Calculating the power:
Now that we have the force and velocity, we can calculate the power using the equation:
Power = Force x Velocity
Substituting the values, we have:
Power = (M x n^2Rt^2) x (nR)
Power = Mn^2R^2t^2
Therefore, the power delivered to the particle by the force acting on it is Mn^2R^2t^2, which corresponds to option B.
Attention NEET Students!
To make sure you are not studying endlessly, EduRev has designed NEET study material, with Structured Courses, Videos, & Test Series. Plus get personalized analysis, doubt solving and improvement plans to achieve a great score in NEET.
|
Explore Courses for NEET exam
|
|
Similar NEET Doubts
Top Courses for NEETView all
A particle of mass M is moving in a circle of fixed radius R in such a way that its centripetal acceleration at time t is given by n2R t2 where n is a constant. The power delivered to the particle by the force acting on it, is :a)1/2 M n2R2t2b)M n2R2tc)M n R2t2d)M n R2tCorrect answer is option 'B'. Can you explain this answer?
Question Description
A particle of mass M is moving in a circle of fixed radius R in such a way that its centripetal acceleration at time t is given by n2R t2 where n is a constant. The power delivered to the particle by the force acting on it, is :a)1/2 M n2R2t2b)M n2R2tc)M n R2t2d)M n R2tCorrect answer is option 'B'. Can you explain this answer? for NEET 2024 is part of NEET preparation. The Question and answers have been prepared according to the NEET exam syllabus. Information about A particle of mass M is moving in a circle of fixed radius R in such a way that its centripetal acceleration at time t is given by n2R t2 where n is a constant. The power delivered to the particle by the force acting on it, is :a)1/2 M n2R2t2b)M n2R2tc)M n R2t2d)M n R2tCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for NEET 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A particle of mass M is moving in a circle of fixed radius R in such a way that its centripetal acceleration at time t is given by n2R t2 where n is a constant. The power delivered to the particle by the force acting on it, is :a)1/2 M n2R2t2b)M n2R2tc)M n R2t2d)M n R2tCorrect answer is option 'B'. Can you explain this answer?.
A particle of mass M is moving in a circle of fixed radius R in such a way that its centripetal acceleration at time t is given by n2R t2 where n is a constant. The power delivered to the particle by the force acting on it, is :a)1/2 M n2R2t2b)M n2R2tc)M n R2t2d)M n R2tCorrect answer is option 'B'. Can you explain this answer? for NEET 2024 is part of NEET preparation. The Question and answers have been prepared according to the NEET exam syllabus. Information about A particle of mass M is moving in a circle of fixed radius R in such a way that its centripetal acceleration at time t is given by n2R t2 where n is a constant. The power delivered to the particle by the force acting on it, is :a)1/2 M n2R2t2b)M n2R2tc)M n R2t2d)M n R2tCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for NEET 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A particle of mass M is moving in a circle of fixed radius R in such a way that its centripetal acceleration at time t is given by n2R t2 where n is a constant. The power delivered to the particle by the force acting on it, is :a)1/2 M n2R2t2b)M n2R2tc)M n R2t2d)M n R2tCorrect answer is option 'B'. Can you explain this answer?.
Solutions for A particle of mass M is moving in a circle of fixed radius R in such a way that its centripetal acceleration at time t is given by n2R t2 where n is a constant. The power delivered to the particle by the force acting on it, is :a)1/2 M n2R2t2b)M n2R2tc)M n R2t2d)M n R2tCorrect answer is option 'B'. Can you explain this answer? in English & in Hindi are available as part of our courses for NEET.
Download more important topics, notes, lectures and mock test series for NEET Exam by signing up for free.
Here you can find the meaning of A particle of mass M is moving in a circle of fixed radius R in such a way that its centripetal acceleration at time t is given by n2R t2 where n is a constant. The power delivered to the particle by the force acting on it, is :a)1/2 M n2R2t2b)M n2R2tc)M n R2t2d)M n R2tCorrect answer is option 'B'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
A particle of mass M is moving in a circle of fixed radius R in such a way that its centripetal acceleration at time t is given by n2R t2 where n is a constant. The power delivered to the particle by the force acting on it, is :a)1/2 M n2R2t2b)M n2R2tc)M n R2t2d)M n R2tCorrect answer is option 'B'. Can you explain this answer?, a detailed solution for A particle of mass M is moving in a circle of fixed radius R in such a way that its centripetal acceleration at time t is given by n2R t2 where n is a constant. The power delivered to the particle by the force acting on it, is :a)1/2 M n2R2t2b)M n2R2tc)M n R2t2d)M n R2tCorrect answer is option 'B'. Can you explain this answer? has been provided alongside types of A particle of mass M is moving in a circle of fixed radius R in such a way that its centripetal acceleration at time t is given by n2R t2 where n is a constant. The power delivered to the particle by the force acting on it, is :a)1/2 M n2R2t2b)M n2R2tc)M n R2t2d)M n R2tCorrect answer is option 'B'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice A particle of mass M is moving in a circle of fixed radius R in such a way that its centripetal acceleration at time t is given by n2R t2 where n is a constant. The power delivered to the particle by the force acting on it, is :a)1/2 M n2R2t2b)M n2R2tc)M n R2t2d)M n R2tCorrect answer is option 'B'. Can you explain this answer? tests, examples and also practice NEET tests.
|
|
Explore Courses for NEET exam
|
|
Suggested Free Tests
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
|
© EduRev
|
Education Revolution
|
|
Signup to see your scores
go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup