Question

Right and inequality that represents the velocity of an object that has a mass of 30 kg and creates a momentum of at least 15 kg (m/s) v=p/m

Answer 1

To find the inequality that represents the velocity of an object given its mass and momentum, we can use the formula for momentum:

\[
p = m \cdot v
\]

Where:
- \( p \) is the momentum (in kg·m/s),
- \( m \) is the mass (in kg),
- \( v \) is the velocity (in m/s).

Given:
- The mass \( m = 30 \) kg
- The momentum \( p \) must be at least 15 kg·m/s.

We can rearrange the formula to express velocity in terms of momentum and mass:

\[
v = \frac{p}{m}
\]

Substituting the values we have, we set up the inequality based on the fact that momentum must be at least 15 kg·m/s:

\[
p \geq 15
\]

Now, substituting this into the equation for velocity:

\[
v = \frac{p}{30}
\]

So we substitute \( p \) with \( 15 \) (the minimum momentum):

\[
v \geq \frac{15}{30}
\]

Simplifying this gives:

\[
v \geq 0.5 \text{ m/s}
\]

Therefore, the inequality that represents the velocity of the object is:

\[
v \geq 0.5 \text{ m/s}
\]