# Easy momentum/ kenitic

#### tnutty

I know that :

kinetic energy of something = P^2 / 2m , or momentum squared over 2m

why so?

I see that taking the integral of mv dv = kenitic.

can you prove this to

Related Other Physics Topics News on Phys.org

Staff Emeritus
You know p in terms of m and v. You also know E in terms of m and v. This should get you started.

#### dE_logics

KE = $$\frac{1}{2} mv ^ 2$$

= $$\frac{1}{2} pv$$

= $$\frac{1}{2} \frac{pmv}{m}$$

= $$\frac{1}{2} \frac{p ^ 2}{m}$$

### Physics Forums Values

We Value Quality
• Topics based on mainstream science
• Proper English grammar and spelling
We Value Civility
• Positive and compassionate attitudes
• Patience while debating
We Value Productivity
• Disciplined to remain on-topic
• Recognition of own weaknesses
• Solo and co-op problem solving