if kinetic energy of a particle is doubled then its momentum will be
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The kinetic energy is directly proportional to the momentum of a body,
Hence, if the kinetic energy of a particle is doubled, then it's momentum will also be doubled.
Hence, if the kinetic energy of a particle is doubled, then it's momentum will also be doubled.
QGP:
Hey, please correct your answer
so what is the correct answer
Yes, my answer is incorrect. The correct answer is √2
Final momentum = √2×Initial momentum
But @SuperHeroStar, in your answer, you wrote that momentum will be doubled.
Please correct that
There must be an 'edit' option there. Use it to correct your answer
Answered by
83
Kinetic energy is
K = (1/2) m v^2
We want to write it in form of momentum. We know that momentum P = m v
In K = (1/2) m v^2
Multiply and divide by m
So K = (1/2) m^2 v^2 ÷ m
So, K = (1/2) (mv)^2 /m
So, K = (P^2) /2m
Thus Kinetic Energy is proportional to square of momentum.
Also , P = √(2mK)
So, momentum is proportional to square root of kinetic energy.
Thus, if kinetic energy is doubled, then momentum will become √2 times original momentum.
K = (1/2) m v^2
We want to write it in form of momentum. We know that momentum P = m v
In K = (1/2) m v^2
Multiply and divide by m
So K = (1/2) m^2 v^2 ÷ m
So, K = (1/2) (mv)^2 /m
So, K = (P^2) /2m
Thus Kinetic Energy is proportional to square of momentum.
Also , P = √(2mK)
So, momentum is proportional to square root of kinetic energy.
Thus, if kinetic energy is doubled, then momentum will become √2 times original momentum.
1) Force increases: Already the body was accelerating. Now, if magnitude of force is increased, then the rate of acceleration will increase. (Remember Newton's second law: F = m×a )
2) Force decreases: Here, the magnitude is acceleration will decrease, according to the Second Law. So here also, body will keep accelerating (only the rate of acceleration will decrease)
ok then the force will increase.....but another one is saying that the resultant force is at right angle to its movement (@naman112)
4) At right angle to movement:. Here the force is acting at right angle to direction of motion. Here also, the body posseses acceleration. But this time, acceleration is perpendicular to direction of motion. This will cause the body to follow a curved path till the direction of motion and direction of acceleration become same
3) Force becomes Zero:. In this case, resultant force acting on the body is zero. And as F = m×a, if force becomes zero, then acceleration will become zero. The body will then continue to move with constant velocity
I have finished my explanation. If you still have any doubts, or want more clarification, feel free to ask for help
ok the final answer is zero ...thank u sir for helping me out
Welcome.
You better call me by name: Purva. I'm still a student
ok as ur wish ...
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