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Recoil Calculator

🎱 Momentum & collisions. Use the Recoil (explosion from rest) formula to find recoil velocity, gun mass, bullet mass, bullet velocity: pick the value you want, type the others, and the answer updates as you go.

m1v1=−m2v2m_1v_1 = -m_2v_2
Recoil velocity-0.4 m/s

Pick the ○ next to the value you want to find, fill in the others, and it solves as you type.

What each letter means

QuantityUnit
Recoil velocitym/s
Gun masskg
Bullet masskg
Bullet velocitym/s

Worked example

Find the recoil velocity when Gun mass = 4 kg, Bullet mass = 0.004 kg, Bullet velocity = 400 m/s.

Using m1v1 = -m2v2: Recoil velocity = -0.4 m/s.

Frequently asked questions

What is the formula for Recoil (explosion from rest)?

m1v1 = -m2v2.

What do the letters stand for, and what units are used?

Recoil velocity in m/s, Gun mass in kg, Bullet mass in kg, Bullet velocity in m/s.

How do you calculate recoil velocity?

Put the values into m1v1 = -m2v2. For example, with Gun mass = 4 kg, Bullet mass = 0.004 kg, Bullet velocity = 400 m/s, recoil velocity = -0.4 m/s.

Can I solve for a different value?

Yes. In the calculator above, pick the circle next to any value (recoil velocity, gun mass, bullet mass, bullet velocity) and fill in the others: it rearranges the formula for you.

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