Question

How are kinetic energy and momentum related? Derive the appropriate expression

Answer 1

Hey mate here is your answer✌✌》》

Answer:
P
=
√
2
m
E

Explanation:
P
:
momentum of object

E
:
The kinetic energy of object

m
:
mass of object

v
:
velocity of object

momentum is expressed as
P
=
m
⋅
v

P
2
=
m
2
⋅
v
2

P
2
m
=
m
⋅
v
2

1
2
⋅
p
2
m
=
1
2
⋅
m
⋅
v
2

The kinetic energy of an object is written a s
E
=
1
2
⋅
m
⋅
v
2
P
2
2
⋅
m
=
E

P
2
=
2
⋅
m
⋅
E

P
=
√
2
m
E

⤴⤴Hope this answer will help you..《《⛤⛤

Answer 2

The momentum of a particle is given by the equation, P = mv, where P is the momentum of the particle, m is the mass of the particle, and v is the velocity of the particle. ... You can generalized this result to say that the ratio of kinetic energy of two objects having the same momentum is the inverse ratio of their masses.