Question

An object has a velocity of 5 m/s
and a momentum of 100 kg⋅m/s . What is the mass of the object?(1 point)
Responses

105 kg
105 kg

0.05 kg
0.05 kg

500 kg
500 kg

20 kg

Answer 1

Momentum (p) is calculated using the formula:

\[ p = m \cdot v \]

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

Given:
- Momentum \( p = 100 \, \text{kg⋅m/s} \)
- Velocity \( v = 5 \, \text{m/s} \)

We can rearrange the formula to find the mass:

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

Substituting the given values:

\[ m = \frac{100 \, \text{kg⋅m/s}}{5 \, \text{m/s}} \]
\[ m = 20 \, \text{kg} \]

So, the mass of the object is **20 kg**.