⏩QUESTION
⏩Two bodies each of mass 3 kg and 5kg have same momentum. Find the ratios of there kinetic energy. Which one has more kinetic energy.???
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Answered by
3
Here is your answer Palak ⬆⬆⬆⬆⬆
❤❤Hope it will help you❤❤
❤❤Hope it will help you❤❤
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arnab2261:
mate, the bodies have same momentum, not same velocity :)
Answered by
4
Heya mate,
Here is your answer,. ⬇️⬇️
_____________
Mass of first body = 3 kg.
Let, velocity = v
And momentum = p
It's kinetic energy
= 1/2 * m * v^2
= ( mv) ^2 / 2m
= ( p)^2 / 2*3
= p^2 / 6
_ _ _ _ _ _ _ _ _
Mass of second body = 5 kg.
Let, velocity = v
And momentum = p
It's kinetic energy
= 1/2 * m * v^2
= (mv) ^2 / 2m
= (p)^2 / 2*5
= p^2 / 10
_ _ _ _ _ _ _ _ _
Now, both the bodies have the same momentum, thus the value of p is same in both the cases.
So, in both cases, value of 'p' is same.
_ _ _ _ _ _ _ _ _
Now, the ratio of the kinetic energies of the body is
= p^2 / 6 * 10 / p^2
= 10/6
= 5/3 = 5:3
Now, we clearly can have that the first body have greater Kinetic Energy.
_ _ _ _ _ _ _ _ _
➡️ Hence, the ratio of the kinetic energy of the bodies is 5:3 and the first body with mass 3 kg has greater Kinetic Energy.
______________
Hope this helps,.
If helps, please mark it as brainliest ^_^
______________
REGARDS, ARNAB ✌️
THANK YOU
Here is your answer,. ⬇️⬇️
_____________
Mass of first body = 3 kg.
Let, velocity = v
And momentum = p
It's kinetic energy
= 1/2 * m * v^2
= ( mv) ^2 / 2m
= ( p)^2 / 2*3
= p^2 / 6
_ _ _ _ _ _ _ _ _
Mass of second body = 5 kg.
Let, velocity = v
And momentum = p
It's kinetic energy
= 1/2 * m * v^2
= (mv) ^2 / 2m
= (p)^2 / 2*5
= p^2 / 10
_ _ _ _ _ _ _ _ _
Now, both the bodies have the same momentum, thus the value of p is same in both the cases.
So, in both cases, value of 'p' is same.
_ _ _ _ _ _ _ _ _
Now, the ratio of the kinetic energies of the body is
= p^2 / 6 * 10 / p^2
= 10/6
= 5/3 = 5:3
Now, we clearly can have that the first body have greater Kinetic Energy.
_ _ _ _ _ _ _ _ _
➡️ Hence, the ratio of the kinetic energy of the bodies is 5:3 and the first body with mass 3 kg has greater Kinetic Energy.
______________
Hope this helps,.
If helps, please mark it as brainliest ^_^
______________
REGARDS, ARNAB ✌️
THANK YOU
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