Civil Engineering (CE) Exam > Civil Engineering (CE) Questions > If you double the kinetic energy of an arrow,...
Start Learning for Free
If you double the kinetic energy of an arrow, by what factor does its speed increase?
- a)2
- b)4
- c)√2
- d)None
Correct answer is option 'C'. Can you explain this answer?
Most Upvoted Answer
If you double the kinetic energy of an arrow, by what factor does its ...
To find the factor by which the speed increases, we need to use the equation for kinetic energy:
KE = 1/2mv^2
Where KE is the kinetic energy, m is the mass of the arrow, and v is the velocity (speed) of the arrow.
If we double the kinetic energy, we can write it as KE' = 2KE.
Therefore, 2KE = 1/2mv'^2, where v' is the new velocity.
Dividing both sides of the equation by 1/2m, we get:
4KE = mv'^2
Dividing both sides of the equation by m, we get:
4KE/m = v'^2
Taking the square root of both sides of the equation, we get:
√(4KE/m) = v'
Simplifying the equation, we have:
2√(KE/m) = v'
Therefore, the speed increases by a factor of 2, or the correct option is a)2.
KE = 1/2mv^2
Where KE is the kinetic energy, m is the mass of the arrow, and v is the velocity (speed) of the arrow.
If we double the kinetic energy, we can write it as KE' = 2KE.
Therefore, 2KE = 1/2mv'^2, where v' is the new velocity.
Dividing both sides of the equation by 1/2m, we get:
4KE = mv'^2
Dividing both sides of the equation by m, we get:
4KE/m = v'^2
Taking the square root of both sides of the equation, we get:
√(4KE/m) = v'
Simplifying the equation, we have:
2√(KE/m) = v'
Therefore, the speed increases by a factor of 2, or the correct option is a)2.
Free Test
FREE
| Start Free Test |
Community Answer
If you double the kinetic energy of an arrow, by what factor does its ...
Kinetic energy depends upon velocity and mass. The relation between K.E with mass and velocity is K.E = 0.5mv2. If we double the kinetic energy, the velocity has to be increased by a factor equal to the square root of two.
|
Explore Courses for Civil Engineering (CE) exam
|
|
Top Courses for Civil Engineering (CE)View all
Question Description
If you double the kinetic energy of an arrow, by what factor does its speed increase?a)2b)4c)√2d)NoneCorrect answer is option 'C'. Can you explain this answer? for Civil Engineering (CE) 2025 is part of Civil Engineering (CE) preparation. The Question and answers have been prepared according to the Civil Engineering (CE) exam syllabus. Information about If you double the kinetic energy of an arrow, by what factor does its speed increase?a)2b)4c)√2d)NoneCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for Civil Engineering (CE) 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If you double the kinetic energy of an arrow, by what factor does its speed increase?a)2b)4c)√2d)NoneCorrect answer is option 'C'. Can you explain this answer?.
If you double the kinetic energy of an arrow, by what factor does its speed increase?a)2b)4c)√2d)NoneCorrect answer is option 'C'. Can you explain this answer? for Civil Engineering (CE) 2025 is part of Civil Engineering (CE) preparation. The Question and answers have been prepared according to the Civil Engineering (CE) exam syllabus. Information about If you double the kinetic energy of an arrow, by what factor does its speed increase?a)2b)4c)√2d)NoneCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for Civil Engineering (CE) 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If you double the kinetic energy of an arrow, by what factor does its speed increase?a)2b)4c)√2d)NoneCorrect answer is option 'C'. Can you explain this answer?.
Solutions for If you double the kinetic energy of an arrow, by what factor does its speed increase?a)2b)4c)√2d)NoneCorrect answer is option 'C'. Can you explain this answer? in English & in Hindi are available as part of our courses for Civil Engineering (CE).
Download more important topics, notes, lectures and mock test series for Civil Engineering (CE) Exam by signing up for free.
Here you can find the meaning of If you double the kinetic energy of an arrow, by what factor does its speed increase?a)2b)4c)√2d)NoneCorrect answer is option 'C'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
If you double the kinetic energy of an arrow, by what factor does its speed increase?a)2b)4c)√2d)NoneCorrect answer is option 'C'. Can you explain this answer?, a detailed solution for If you double the kinetic energy of an arrow, by what factor does its speed increase?a)2b)4c)√2d)NoneCorrect answer is option 'C'. Can you explain this answer? has been provided alongside types of If you double the kinetic energy of an arrow, by what factor does its speed increase?a)2b)4c)√2d)NoneCorrect answer is option 'C'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice If you double the kinetic energy of an arrow, by what factor does its speed increase?a)2b)4c)√2d)NoneCorrect answer is option 'C'. Can you explain this answer? tests, examples and also practice Civil Engineering (CE) tests.
|
|
Explore Courses for Civil Engineering (CE) 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!
within 7 days!
Takes less than 10 seconds to signup