What is the relation between kinetic energy and momentum ?

Question

What is the relation between kinetic energy and momentum ?

1 Answer

Impact of this question

28203 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2016-07-02T19:40:31

$P = \sqrt{2 m E}$ $P=sqrt(2mE)$

Explanation:

$P : momentum of object$ $P:"momentum of object"$
$E : The kinetic energy of object$ $E:"The kinetic energy of object"$
$m : mass of object$ $m:"mass of object"$
$v : velocity of object$ $v:"velocity of object"$

$momentum is expressed as P = m \cdot v$ $"momentum is expressed as "P=m*v$

$P^{2} = m^{2} \cdot v^{2}$ $P^2=m^2*v^2$

$\frac{P^{2}}{m} = m \cdot v^{2}$ $P^2/m=m*v^2$

$\frac{1}{2} \cdot \frac{p^{2}}{m} = \frac{1}{2} \cdot m \cdot v^{2}$ $color(red)(1/2)*p^2/m=color(red)(1/2)*m*v^2$

$The kinetic energy of an object is written a s E = \frac{1}{2} \cdot m \cdot v^{2}$ $"The kinetic energy of an object is written a s "E=1/2*m*v^2$

$\frac{P^{2}}{2 \cdot m} = E$ $P^2/(2*m)=E$

$P^{2} = 2 \cdot m \cdot E$ $P^2=2*m*E$

$P = \sqrt{2 m E}$ $P=sqrt(2mE)$

Science

Math

Humanities

... and beyond

What is the relation between kinetic energy and momentum ?

1 Answer

Explanation:

Related questions

Impact of this question