Question

A 10 kilogram shell is fired from a 500 kilogram gun with a velocity of 1000 m/sec. What is the recoil velocity of the gun?

Answer 1

Answer on Question #64481, Physics / Mechanics | Relativity

Question:

A 10 kilogram shell is fired from a 500 kilogram gun with a velocity of 1000 m/sec.

What is the recoil velocity of the gun?

Solution:

Let us assume that the system "shell + gun" is closed. In a closed system the total momentum is constant (according to the law of conservation of momentum).

So for our system we may write following equation:

$$\begin{array}{c c c} & & \\ & & \\ \end{array}$$

where $m$ denotes mass and $v$ — velocity.

Therefore

$$\text{---} \quad \text{m/sec}$$

Answer:

20 m/sec

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