NEET Exam > NEET Questions > A stone of mass 1 kg is tied with a string an...
Start Learning for Free
A stone of mass 1 kg is tied with a string and it is whirled in a vertical circle of radius 1m. If tension at the highest point is 14N, then velocity at lowest point will be 1) 3 m/s 2) 4 m/s 3) 6 m/s 4) 8 m/s?
Most Upvoted Answer
A stone of mass 1 kg is tied with a string and it is whirled in a vert...
At highest point, T'+mg=mv^2/r At lowest point, T-mg=mv^2/r again, T-T'=6mg so, 6mg+14-mg=mv^2/r 64=v^2 v=8
Community Answer
A stone of mass 1 kg is tied with a string and it is whirled in a vert...
Solution:
Given:
Mass of the stone, m = 1 kg
Radius of the circle, r = 1 m
Tension at the highest point, T = 14 N
Let the velocity of the stone at the lowest point be v.
Calculating Velocity at the Highest Point:
At the highest point, the tension in the string is equal to the weight of the stone.
Therefore, T = mg
where g is the acceleration due to gravity, which is equal to 9.8 m/s^2.
So, 14 = 1 × 9.8
Thus, g = 14/9.8 = 1.43 m/s^2.
At the highest point, the net force on the stone is given by:
Fnet = T - mg
= 14 - 1 × 9.8
= 4.2 N
Using Newton's second law of motion, we know that:
Fnet = ma
where a is the acceleration of the stone.
So, 4.2 = 1 × a
Thus, a = 4.2 m/s^2.
Therefore, the velocity of the stone at the highest point is given by:
v1 = √(gr)
= √(1.43 × 1)
= 1.2 m/s
Calculating Velocity at the Lowest Point:
At the lowest point, the tension in the string is given by:
T = mv^2/r + mg
where v is the velocity of the stone.
Substituting the given values, we get:
14 = 1 × v^2/1 + 1 × 9.8
Simplifying, we get:
v^2 = 14 × 2 - 9.8
Thus, v = √(27.2) = 5.2 m/s
Therefore, the velocity of the stone at the lowest point is 5.2 m/s.
Hence, the correct option is 3) 6 m/s (closest to 5.2 m/s).
Given:
Mass of the stone, m = 1 kg
Radius of the circle, r = 1 m
Tension at the highest point, T = 14 N
Let the velocity of the stone at the lowest point be v.
Calculating Velocity at the Highest Point:
At the highest point, the tension in the string is equal to the weight of the stone.
Therefore, T = mg
where g is the acceleration due to gravity, which is equal to 9.8 m/s^2.
So, 14 = 1 × 9.8
Thus, g = 14/9.8 = 1.43 m/s^2.
At the highest point, the net force on the stone is given by:
Fnet = T - mg
= 14 - 1 × 9.8
= 4.2 N
Using Newton's second law of motion, we know that:
Fnet = ma
where a is the acceleration of the stone.
So, 4.2 = 1 × a
Thus, a = 4.2 m/s^2.
Therefore, the velocity of the stone at the highest point is given by:
v1 = √(gr)
= √(1.43 × 1)
= 1.2 m/s
Calculating Velocity at the Lowest Point:
At the lowest point, the tension in the string is given by:
T = mv^2/r + mg
where v is the velocity of the stone.
Substituting the given values, we get:
14 = 1 × v^2/1 + 1 × 9.8
Simplifying, we get:
v^2 = 14 × 2 - 9.8
Thus, v = √(27.2) = 5.2 m/s
Therefore, the velocity of the stone at the lowest point is 5.2 m/s.
Hence, the correct option is 3) 6 m/s (closest to 5.2 m/s).
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 stone of mass 1 kg is tied with a string and it is whirled in a vertical circle of radius 1m. If tension at the highest point is 14N, then velocity at lowest point will be 1) 3 m/s 2) 4 m/s 3) 6 m/s 4) 8 m/s?
Question Description
A stone of mass 1 kg is tied with a string and it is whirled in a vertical circle of radius 1m. If tension at the highest point is 14N, then velocity at lowest point will be 1) 3 m/s 2) 4 m/s 3) 6 m/s 4) 8 m/s? for NEET 2024 is part of NEET preparation. The Question and answers have been prepared according to the NEET exam syllabus. Information about A stone of mass 1 kg is tied with a string and it is whirled in a vertical circle of radius 1m. If tension at the highest point is 14N, then velocity at lowest point will be 1) 3 m/s 2) 4 m/s 3) 6 m/s 4) 8 m/s? covers all topics & solutions for NEET 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A stone of mass 1 kg is tied with a string and it is whirled in a vertical circle of radius 1m. If tension at the highest point is 14N, then velocity at lowest point will be 1) 3 m/s 2) 4 m/s 3) 6 m/s 4) 8 m/s?.
A stone of mass 1 kg is tied with a string and it is whirled in a vertical circle of radius 1m. If tension at the highest point is 14N, then velocity at lowest point will be 1) 3 m/s 2) 4 m/s 3) 6 m/s 4) 8 m/s? for NEET 2024 is part of NEET preparation. The Question and answers have been prepared according to the NEET exam syllabus. Information about A stone of mass 1 kg is tied with a string and it is whirled in a vertical circle of radius 1m. If tension at the highest point is 14N, then velocity at lowest point will be 1) 3 m/s 2) 4 m/s 3) 6 m/s 4) 8 m/s? covers all topics & solutions for NEET 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A stone of mass 1 kg is tied with a string and it is whirled in a vertical circle of radius 1m. If tension at the highest point is 14N, then velocity at lowest point will be 1) 3 m/s 2) 4 m/s 3) 6 m/s 4) 8 m/s?.
Solutions for A stone of mass 1 kg is tied with a string and it is whirled in a vertical circle of radius 1m. If tension at the highest point is 14N, then velocity at lowest point will be 1) 3 m/s 2) 4 m/s 3) 6 m/s 4) 8 m/s? 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 stone of mass 1 kg is tied with a string and it is whirled in a vertical circle of radius 1m. If tension at the highest point is 14N, then velocity at lowest point will be 1) 3 m/s 2) 4 m/s 3) 6 m/s 4) 8 m/s? defined & explained in the simplest way possible. Besides giving the explanation of
A stone of mass 1 kg is tied with a string and it is whirled in a vertical circle of radius 1m. If tension at the highest point is 14N, then velocity at lowest point will be 1) 3 m/s 2) 4 m/s 3) 6 m/s 4) 8 m/s?, a detailed solution for A stone of mass 1 kg is tied with a string and it is whirled in a vertical circle of radius 1m. If tension at the highest point is 14N, then velocity at lowest point will be 1) 3 m/s 2) 4 m/s 3) 6 m/s 4) 8 m/s? has been provided alongside types of A stone of mass 1 kg is tied with a string and it is whirled in a vertical circle of radius 1m. If tension at the highest point is 14N, then velocity at lowest point will be 1) 3 m/s 2) 4 m/s 3) 6 m/s 4) 8 m/s? theory, EduRev gives you an
ample number of questions to practice A stone of mass 1 kg is tied with a string and it is whirled in a vertical circle of radius 1m. If tension at the highest point is 14N, then velocity at lowest point will be 1) 3 m/s 2) 4 m/s 3) 6 m/s 4) 8 m/s? 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
|
Follow Us
|
Signup to see your scores
go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup