Question

If the K.E of a body is increased by 800%, then momentum of the body will be increased by
100K%. Find the value of K?​

Answer 1

Answer:

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 proportional 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.

PLEASE .... MARK BRAINLIEST

hope its clear: )