Class 9 Exam > Class 9 Questions > When speed of a motor car increases six times...
Start Learning for Free
When speed of a motor car increases six times, then kinetic energy increases by
- a)6 times
- b)36 times
- c)12 times
- d)24 times
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
When speed of a motor car increases six times, then kinetic energy inc...
Let initial speed of the car be v m/s and mass be m kg
Using the equation
K.E.= (mv²) / 2
It can be observed that, if we increase the speed (v) by 6 times the kinetic energy will increase by 36 times.
Using the equation
K.E.= (mv²) / 2
It can be observed that, if we increase the speed (v) by 6 times the kinetic energy will increase by 36 times.
Most Upvoted Answer
When speed of a motor car increases six times, then kinetic energy inc...
Let initial speed of the car be v m/s and mass be m kg
Using the equation
K.E.= (mv²) / 2
It can be observed that, if we increase the speed (v) by 6 times the kinetic energy will increase by 36 times.
Using the equation
K.E.= (mv²) / 2
It can be observed that, if we increase the speed (v) by 6 times the kinetic energy will increase by 36 times.
Free Test
FREE
| Start Free Test |
Community Answer
When speed of a motor car increases six times, then kinetic energy inc...
Understanding Kinetic Energy
Kinetic energy (KE) is the energy possessed by an object due to its motion. The formula to calculate the kinetic energy of an object is given by:
KE = (1/2)mv²
Where:
- m = mass of the object
- v = velocity (speed) of the object
Effect of Speed Increase
When the speed of a motor car increases, the kinetic energy changes based on the square of the speed. If the speed increases six times, we can analyze how this affects kinetic energy.
Calculating Kinetic Energy Increase
1. Initial Speed: Let the initial speed of the car be v.
2. New Speed: After increasing, the speed becomes 6v.
3. Initial Kinetic Energy:
- KE_initial = (1/2)m(v²)
4. New Kinetic Energy:
- KE_new = (1/2)m(6v)²
- KE_new = (1/2)m(36v²)
- KE_new = 18mv²
5. Increase in Kinetic Energy:
- KE_new = 36 * (1/2)mv²
- Therefore, the new kinetic energy is 36 times the initial kinetic energy.
Conclusion
Thus, when the speed of the motor car increases six times, the kinetic energy increases by 36 times. This is why the correct answer is option B. Understanding how velocity affects kinetic energy is crucial in physics, as it highlights the non-linear relationship between speed and energy.
Kinetic energy (KE) is the energy possessed by an object due to its motion. The formula to calculate the kinetic energy of an object is given by:
KE = (1/2)mv²
Where:
- m = mass of the object
- v = velocity (speed) of the object
Effect of Speed Increase
When the speed of a motor car increases, the kinetic energy changes based on the square of the speed. If the speed increases six times, we can analyze how this affects kinetic energy.
Calculating Kinetic Energy Increase
1. Initial Speed: Let the initial speed of the car be v.
2. New Speed: After increasing, the speed becomes 6v.
3. Initial Kinetic Energy:
- KE_initial = (1/2)m(v²)
4. New Kinetic Energy:
- KE_new = (1/2)m(6v)²
- KE_new = (1/2)m(36v²)
- KE_new = 18mv²
5. Increase in Kinetic Energy:
- KE_new = 36 * (1/2)mv²
- Therefore, the new kinetic energy is 36 times the initial kinetic energy.
Conclusion
Thus, when the speed of the motor car increases six times, the kinetic energy increases by 36 times. This is why the correct answer is option B. Understanding how velocity affects kinetic energy is crucial in physics, as it highlights the non-linear relationship between speed and energy.
|
Explore Courses for Class 9 exam
|
|
Top Courses for Class 9View all
Question Description
When speed of a motor car increases six times, then kinetic energy increases bya)6 timesb)36 timesc)12 timesd)24 timesCorrect answer is option 'B'. Can you explain this answer? for Class 9 2025 is part of Class 9 preparation. The Question and answers have been prepared according to the Class 9 exam syllabus. Information about When speed of a motor car increases six times, then kinetic energy increases bya)6 timesb)36 timesc)12 timesd)24 timesCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for Class 9 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for When speed of a motor car increases six times, then kinetic energy increases bya)6 timesb)36 timesc)12 timesd)24 timesCorrect answer is option 'B'. Can you explain this answer?.
When speed of a motor car increases six times, then kinetic energy increases bya)6 timesb)36 timesc)12 timesd)24 timesCorrect answer is option 'B'. Can you explain this answer? for Class 9 2025 is part of Class 9 preparation. The Question and answers have been prepared according to the Class 9 exam syllabus. Information about When speed of a motor car increases six times, then kinetic energy increases bya)6 timesb)36 timesc)12 timesd)24 timesCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for Class 9 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for When speed of a motor car increases six times, then kinetic energy increases bya)6 timesb)36 timesc)12 timesd)24 timesCorrect answer is option 'B'. Can you explain this answer?.
Solutions for When speed of a motor car increases six times, then kinetic energy increases bya)6 timesb)36 timesc)12 timesd)24 timesCorrect answer is option 'B'. 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 When speed of a motor car increases six times, then kinetic energy increases bya)6 timesb)36 timesc)12 timesd)24 timesCorrect answer is option 'B'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
When speed of a motor car increases six times, then kinetic energy increases bya)6 timesb)36 timesc)12 timesd)24 timesCorrect answer is option 'B'. Can you explain this answer?, a detailed solution for When speed of a motor car increases six times, then kinetic energy increases bya)6 timesb)36 timesc)12 timesd)24 timesCorrect answer is option 'B'. Can you explain this answer? has been provided alongside types of When speed of a motor car increases six times, then kinetic energy increases bya)6 timesb)36 timesc)12 timesd)24 timesCorrect answer is option 'B'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice When speed of a motor car increases six times, then kinetic energy increases bya)6 timesb)36 timesc)12 timesd)24 timesCorrect answer is option 'B'. Can you explain this answer? tests, examples and also practice Class 9 tests.
|
|
Explore Courses for Class 9 exam
|
|
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