Question

Question
Calculate the kinetic energy, in Joules, possessed in each of the following scenarios and match with the correct answer. K.E. = 1/2 m v2

**Not all answers may be used.

(16 points)
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0.5 kg hockey sliding at 2 m/s
75 kg man walking at 1.0 m/s.
75 kg man running at 5.0 m/s.
2000 kg Lamborghini cruising at 30 m/s

Answer 1

To calculate the kinetic energy (K.E.) for each scenario, we will use the formula:

\[ K.E. = \frac{1}{2} m v^2 \]

where \( m \) is the mass in kilograms (kg) and \( v \) is the velocity in meters per second (m/s).

1. **0.5 kg hockey sliding at 2 m/s**:
\[
K.E. = \frac{1}{2} \times 0.5 \times (2)^2 = \frac{1}{2} \times 0.5 \times 4 = 1 \text{ Joule}
\]

2. **75 kg man walking at 1.0 m/s**:
\[
K.E. = \frac{1}{2} \times 75 \times (1)^2 = \frac{1}{2} \times 75 \times 1 = 37.5 \text{ Joules}
\]

3. **75 kg man running at 5.0 m/s**:
\[
K.E. = \frac{1}{2} \times 75 \times (5)^2 = \frac{1}{2} \times 75 \times 25 = 937.5 \text{ Joules}
\]

4. **2000 kg Lamborghini cruising at 30 m/s**:
\[
K.E. = \frac{1}{2} \times 2000 \times (30)^2 = \frac{1}{2} \times 2000 \times 900 = 900000 \text{ Joules}
\]

Now, let's summarize the results:

- **0.5 kg hockey sliding at 2 m/s**: **1 Joule**
- **75 kg man walking at 1.0 m/s**: **37.5 Joules**
- **75 kg man running at 5.0 m/s**: **937.5 Joules**
- **2000 kg Lamborghini cruising at 30 m/s**: **900,000 Joules**

Using these calculations, you can match the kinetic energy values with their corresponding scenarios.