Question

What is the derived unit of momentum?
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Answer 1

Answer on Question #51051 - Physics - Mechanics, Kinematics, Dynamics

Question: what is the derived unit of momentum?

1. $N \cdot s$

2. $\frac{l}{s}$

3. $\frac{N}{s}$

4. $N \cdot m \cdot s$

Solution: the Newton's second law states

$$\frac{dp}{dt} = F$$

Here $p$ is momentum of a particle and $F$ is force acting on it. Now we can determine the derived unit of momentum:

$$[p] = [F] \cdot [t]$$ $$[F] = N$$ $$[t] = s$$

Therefore,

$$[p] = [F] \cdot [t] = N \cdot s$$

Answer:

1. $N \cdot s$

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