Question
An object has a velocity of
5
m/s
and a momentum of
100
kg
⋅
m/s
. What is the mass of theobject?
(1 point)
500 kg
105 kg
0.05 kg
20 kg
5
m/s
and a momentum of
100
kg
⋅
m/s
. What is the mass of theobject?
(1 point)
500 kg
105 kg
0.05 kg
20 kg
Answers
GPT-4o mini
To find the mass of the object, we can use the formula for momentum:
\[ \text{Momentum} = \text{mass} \times \text{velocity} \]
Given:
- Momentum = \( 100 \, \text{kg} \cdot \text{m/s} \)
- Velocity = \( 5 \, \text{m/s} \)
We can rearrange the equation to solve for mass:
\[ \text{mass} = \frac{\text{Momentum}}{\text{Velocity}} \]
Substituting the given values:
\[ \text{mass} = \frac{100 \, \text{kg} \cdot \text{m/s}}{5 \, \text{m/s}} = 20 \, \text{kg} \]
Therefore, the mass of the object is **20 kg**.
\[ \text{Momentum} = \text{mass} \times \text{velocity} \]
Given:
- Momentum = \( 100 \, \text{kg} \cdot \text{m/s} \)
- Velocity = \( 5 \, \text{m/s} \)
We can rearrange the equation to solve for mass:
\[ \text{mass} = \frac{\text{Momentum}}{\text{Velocity}} \]
Substituting the given values:
\[ \text{mass} = \frac{100 \, \text{kg} \cdot \text{m/s}}{5 \, \text{m/s}} = 20 \, \text{kg} \]
Therefore, the mass of the object is **20 kg**.