Class 9 Exam > Class 9 Questions > On tripling the speed of motion of a body, th...
Start Learning for Free
On tripling the speed of motion of a body, the change in K.E. is
- a)9 times
- b)8 times
- c)4 times
- d)2 times
Correct answer is option 'A'. Can you explain this answer?
| FREE This question is part of | Download PDF Attempt this Test |
Verified Answer
On tripling the speed of motion of a body, the change in K.E. isa)9 ti...
K.E. ∝ v2, when v → 3v, K.E. → 9K.E.
Most Upvoted Answer
On tripling the speed of motion of a body, the change in K.E. isa)9 ti...
Explanation:
When the speed of motion of a body is tripled, the change in kinetic energy (K.E.) can be calculated using the formula:
Change in K.E. = Final K.E. - Initial K.E.
To compare the initial and final kinetic energies, we can use the formula for kinetic energy:
K.E. = (1/2) * m * v^2
Where:
- K.E. is the kinetic energy
- m is the mass of the body
- v is the velocity of the body
Initial K.E.
Let's assume the initial velocity of the body is v. Therefore, the initial kinetic energy (K.E.) can be calculated as:
Initial K.E. = (1/2) * m * v^2
Final K.E.
When the speed of motion is tripled, the new velocity becomes 3v. Therefore, the final kinetic energy (K.E.) can be calculated as:
Final K.E. = (1/2) * m * (3v)^2
Final K.E. = (1/2) * m * 9v^2
Change in K.E.
Substituting the values of initial and final kinetic energies in the formula for change in K.E., we get:
Change in K.E. = (1/2) * m * 9v^2 - (1/2) * m * v^2
Simplifying the expression, we have:
Change in K.E. = (9/2) * m * v^2 - (1/2) * m * v^2
Change in K.E. = (8/2) * m * v^2
Change in K.E. = 4 * m * v^2
Therefore, the change in kinetic energy (K.E.) when the speed of motion is tripled is 4 times the initial kinetic energy.
Hence, the correct answer is option 'C' - 4 times.
When the speed of motion of a body is tripled, the change in kinetic energy (K.E.) can be calculated using the formula:
Change in K.E. = Final K.E. - Initial K.E.
To compare the initial and final kinetic energies, we can use the formula for kinetic energy:
K.E. = (1/2) * m * v^2
Where:
- K.E. is the kinetic energy
- m is the mass of the body
- v is the velocity of the body
Initial K.E.
Let's assume the initial velocity of the body is v. Therefore, the initial kinetic energy (K.E.) can be calculated as:
Initial K.E. = (1/2) * m * v^2
Final K.E.
When the speed of motion is tripled, the new velocity becomes 3v. Therefore, the final kinetic energy (K.E.) can be calculated as:
Final K.E. = (1/2) * m * (3v)^2
Final K.E. = (1/2) * m * 9v^2
Change in K.E.
Substituting the values of initial and final kinetic energies in the formula for change in K.E., we get:
Change in K.E. = (1/2) * m * 9v^2 - (1/2) * m * v^2
Simplifying the expression, we have:
Change in K.E. = (9/2) * m * v^2 - (1/2) * m * v^2
Change in K.E. = (8/2) * m * v^2
Change in K.E. = 4 * m * v^2
Therefore, the change in kinetic energy (K.E.) when the speed of motion is tripled is 4 times the initial kinetic energy.
Hence, the correct answer is option 'C' - 4 times.
Free Test
FREE
| Start Free Test |
Community Answer
On tripling the speed of motion of a body, the change in K.E. isa)9 ti...
B
Attention Class 9 Students!
To make sure you are not studying endlessly, EduRev has designed Class 9 study material, with Structured Courses, Videos, & Test Series. Plus get personalized analysis, doubt solving and improvement plans to achieve a great score in Class 9.
|
Explore Courses for Class 9 exam
|
|
Top Courses for Class 9View all
On tripling the speed of motion of a body, the change in K.E. isa)9 timesb)8 timesc)4 timesd)2 timesCorrect answer is option 'A'. Can you explain this answer?
Question Description
On tripling the speed of motion of a body, the change in K.E. isa)9 timesb)8 timesc)4 timesd)2 timesCorrect answer is option 'A'. Can you explain this answer? 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 On tripling the speed of motion of a body, the change in K.E. isa)9 timesb)8 timesc)4 timesd)2 timesCorrect answer is option 'A'. Can you explain this answer? covers all topics & solutions for Class 9 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for On tripling the speed of motion of a body, the change in K.E. isa)9 timesb)8 timesc)4 timesd)2 timesCorrect answer is option 'A'. Can you explain this answer?.
On tripling the speed of motion of a body, the change in K.E. isa)9 timesb)8 timesc)4 timesd)2 timesCorrect answer is option 'A'. Can you explain this answer? 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 On tripling the speed of motion of a body, the change in K.E. isa)9 timesb)8 timesc)4 timesd)2 timesCorrect answer is option 'A'. Can you explain this answer? covers all topics & solutions for Class 9 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for On tripling the speed of motion of a body, the change in K.E. isa)9 timesb)8 timesc)4 timesd)2 timesCorrect answer is option 'A'. Can you explain this answer?.
Solutions for On tripling the speed of motion of a body, the change in K.E. isa)9 timesb)8 timesc)4 timesd)2 timesCorrect answer is option 'A'. Can you explain this answer? in English & in Hindi are available as part of our courses for Class 9.
Download more important topics, notes, lectures and mock test series for Class 9 Exam by signing up for free.
Here you can find the meaning of On tripling the speed of motion of a body, the change in K.E. isa)9 timesb)8 timesc)4 timesd)2 timesCorrect answer is option 'A'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
On tripling the speed of motion of a body, the change in K.E. isa)9 timesb)8 timesc)4 timesd)2 timesCorrect answer is option 'A'. Can you explain this answer?, a detailed solution for On tripling the speed of motion of a body, the change in K.E. isa)9 timesb)8 timesc)4 timesd)2 timesCorrect answer is option 'A'. Can you explain this answer? has been provided alongside types of On tripling the speed of motion of a body, the change in K.E. isa)9 timesb)8 timesc)4 timesd)2 timesCorrect answer is option 'A'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice On tripling the speed of motion of a body, the change in K.E. isa)9 timesb)8 timesc)4 timesd)2 timesCorrect answer is option 'A'. Can you explain this answer? tests, examples and also practice Class 9 tests.
|
|
Explore Courses for Class 9 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