If the kinematic energy of a body increases by 100/ . Then what is the change in momentum of the body
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The momentum will increase 1.414 times or 41.4 %
We have,
Kinetic energy,
K = 1/2 mv^2
Where 'm' is the mass of the object and 'v' is the velocity of linear motion.
Similarly,
Linear momentum,
P = mv
On solving the 2 equations, we get the direct relation between P and K.
K = P^2/2m
Or k is propotional to P^2
It is said that linear Kinetic energy raised by 100%, so new Kinetic energy,
K*= 2 K
To find the new momentum P*,
K∗/K=(P∗/P)2
2K/K=(P∗/P)2
2=(P∗/P)2
P∗=√2P
The momentum increases √2 times.
We have,
Kinetic energy,
K = 1/2 mv^2
Where 'm' is the mass of the object and 'v' is the velocity of linear motion.
Similarly,
Linear momentum,
P = mv
On solving the 2 equations, we get the direct relation between P and K.
K = P^2/2m
Or k is propotional to P^2
It is said that linear Kinetic energy raised by 100%, so new Kinetic energy,
K*= 2 K
To find the new momentum P*,
K∗/K=(P∗/P)2
2K/K=(P∗/P)2
2=(P∗/P)2
P∗=√2P
The momentum increases √2 times.
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