Solved problem: Linear Momentum

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Statement

difficulty

On a given instant of time, a rocket has a velocity of $\vec{v} = 12 \cdot \vec{i} - 7 \cdot \vec{j} m / s$ . Knowing that its mass is 2kg. What is the momentum on that instant?

Solution

Data

$\vec{v} = 12 \cdot \vec{i} - 7 \cdot \vec{j} m / s$
$m = 2 k g$

Resolution

Applying the definition of quantity of motion:

$\vec{p} = m \cdot \vec{v} \Rightarrow \vec{p} = 2 k g \cdot (12 \cdot \vec{i} - 7 \cdot \vec{j}) m / s \Rightarrow \vec{p} = 24 \cdot \vec{i} - 14 \cdot \vec{j} N \cdot s$

Formulas worksheet

These are the main formulas that you must know to solve this exercise. If you are not clear about their meaning, we recommend you to check the theory in the corresponding sections. Furthermore, you will find in them, under the Formulas tab, the codes that will allow you to integrate these equations in external programs like Word or Mathematica.

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\vec{p} = m \cdot \vec{v}

Linear Momentum

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Linear Momentum

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