Question
If you are given a kinetic energy of 3,000J and a velocity of 10 m/s, what is the mass?
Question 4 options:
30 kg
300 kg
600 kg
60 kg
Question 4 options:
30 kg
300 kg
600 kg
60 kg
Answers
GPT-4o mini
The kinetic energy (KE) can be calculated using the formula:
\[
KE = \frac{1}{2} mv^2
\]
where:
- \( KE \) is the kinetic energy,
- \( m \) is the mass,
- \( v \) is the velocity.
Given:
- \( KE = 3000 \, J \)
- \( v = 10 \, m/s \)
We can rearrange the formula to solve for mass \( m \):
\[
m = \frac{2 \cdot KE}{v^2}
\]
Now, plug in the values:
\[
m = \frac{2 \cdot 3000 \, J}{(10 \, m/s)^2}
\]
\[
m = \frac{6000 \, J}{100 \, m^2/s^2}
\]
\[
m = 60 \, kg
\]
Therefore, the mass is **60 kg**.
The correct answer is **60 kg**.
\[
KE = \frac{1}{2} mv^2
\]
where:
- \( KE \) is the kinetic energy,
- \( m \) is the mass,
- \( v \) is the velocity.
Given:
- \( KE = 3000 \, J \)
- \( v = 10 \, m/s \)
We can rearrange the formula to solve for mass \( m \):
\[
m = \frac{2 \cdot KE}{v^2}
\]
Now, plug in the values:
\[
m = \frac{2 \cdot 3000 \, J}{(10 \, m/s)^2}
\]
\[
m = \frac{6000 \, J}{100 \, m^2/s^2}
\]
\[
m = 60 \, kg
\]
Therefore, the mass is **60 kg**.
The correct answer is **60 kg**.