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