Question

Show, using a mathematical calculation, why a stationary object has no momentum

Answer 1

Answer on Question 57986, Physics, Mechanics, Relativity

Question:

Show, using a mathematical calculation, why a stationary object has no momentum.

Answer:

By the definition, the momentum of an object is equal to the mass of the object times the velocity of the object:

$$p = m v,$$

here $m$ is the mass of the object, $v$ is the velocity of the object.

The term "stationary object" means that object is at rest and its velocity equal to $0 \, ms^{-1}$. Let's substitute the mass of the object (say, $5 \, kg$) and velocity of the object ($v = 0 \, ms^{-1}$) into the first equation:

$$p = m v = 5 \, kg \cdot 0 \, ms^{-1} = 0 \, kg \, ms^{-1}.$$

Therefore, we convince from the mathematical calculation that the stationary object has no momentum.

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