Explained: "A toy car has a momentum of 3..."

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wezergoat420l2k

Answered question

2023-01-18

A toy car has a momentum of 3 kilogram meters per second south. The car has a mass of 1 kilogram. What is the velocity of the car?

Answer & Explanation

Cayden Hull

Beginner2023-01-19Added 8 answers

The equation for momentum states that it is determined by the product of an object's mass and velocity

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

.
It is significant that the momentum was designated as 3 kilogram meters per second south. Momentum is a vector quantity, having both magnitude and direction. Typical convention is to designate south as a negative direction.
Given that

m = 1 k g

and

\vec{p} = - 3 \frac{k g m}{s}

, we can solve for the car's velocity.

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

= \frac{- 3 \frac{k g m}{s}}{1 k g}

= - 3 \frac{m}{s}

Thus, the velocity of the toy car is #3m/s# in the negative direction, or in this case, south. This could also be expressed as

- 3 \frac{m}{s}

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