Question

An object has a velocity of 4.2m/s and a momentum of 77 kg*m/s. What is the mass of the object? (Show your work and make sure you report your answer in the correct units).(3 points

Answer 1

To find the mass of an object given its momentum and velocity, 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).

From the problem, we know:
- \( p = 77 \, \text{kg·m/s} \)
- \( v = 4.2 \, \text{m/s} \)

We can rearrange the formula to solve for mass \( m \):

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

Now, plug in the values:

\[
m = \frac{77 \, \text{kg·m/s}}{4.2 \, \text{m/s}}
\]

Now, calculate:

\[
m = \frac{77}{4.2} \approx 18.333 \, \text{kg}
\]

Finally, we can report the mass rounded to two decimal places:

\[
m \approx 18.33 \, \text{kg}
\]

The mass of the object is approximately **18.33 kg**.