Question
If a 35 kg zombie runs at a speed of 3.0 m/s. What is the zombie's kinetic energy.
Answers
GPT-4o mini
The kinetic energy (KE) of an object can be calculated using the formula:
\[
KE = \frac{1}{2} mv^2
\]
where:
- \( m \) is the mass of the object in kilograms,
- \( v \) is the speed of the object in meters per second.
For a zombie with a mass of 35 kg running at a speed of 3.0 m/s, we can substitute these values into the formula:
\[
KE = \frac{1}{2} \times 35 \, \text{kg} \times (3.0 \, \text{m/s})^2
\]
Calculating this step-by-step:
1. Calculate \( (3.0 \, \text{m/s})^2 \):
\[
(3.0)^2 = 9.0 \, \text{m}^2/\text{s}^2
\]
2. Now plug this value back into the KE formula:
\[
KE = \frac{1}{2} \times 35 \times 9.0
\]
3. Calculate \( \frac{1}{2} \times 35 = 17.5 \):
\[
KE = 17.5 \times 9.0
\]
4. Finally, calculate \( 17.5 \times 9.0 \):
\[
KE = 157.5 \, \text{J}
\]
Therefore, the zombie's kinetic energy is \( 157.5 \, \text{Joules} \).
\[
KE = \frac{1}{2} mv^2
\]
where:
- \( m \) is the mass of the object in kilograms,
- \( v \) is the speed of the object in meters per second.
For a zombie with a mass of 35 kg running at a speed of 3.0 m/s, we can substitute these values into the formula:
\[
KE = \frac{1}{2} \times 35 \, \text{kg} \times (3.0 \, \text{m/s})^2
\]
Calculating this step-by-step:
1. Calculate \( (3.0 \, \text{m/s})^2 \):
\[
(3.0)^2 = 9.0 \, \text{m}^2/\text{s}^2
\]
2. Now plug this value back into the KE formula:
\[
KE = \frac{1}{2} \times 35 \times 9.0
\]
3. Calculate \( \frac{1}{2} \times 35 = 17.5 \):
\[
KE = 17.5 \times 9.0
\]
4. Finally, calculate \( 17.5 \times 9.0 \):
\[
KE = 157.5 \, \text{J}
\]
Therefore, the zombie's kinetic energy is \( 157.5 \, \text{Joules} \).