A slightly disturb ed? man og 80 kg runs directly into a wall with a kinetic energy of 400 J. Ho w fast-is he running?

To find out how fast the man is running, we can use the formula for kinetic energy:

\[
KE = \frac{1}{2} m v^2
\]

Where:
- \( KE \) is the kinetic energy (400 J),
- \( m \) is the mass (80 kg),
- \( v \) is the velocity (which we need to find).

We can solve for velocity \( v \):

\[
v = \sqrt{\frac{2 KE}{m}}
\]

Let’s plug in the values and calculate the velocity.import math

# Given values
KE = 400  # Kinetic energy in joules
m = 80    # Mass in kilograms

# Solving for velocity
v = math.sqrt(2 * KE / m)
vThe man is running at approximately \( 3.16 \, \text{m/s} \).

Would you like more details or have any questions?

Here are 5 related questions for further exploration:
1. What is the relationship between mass and kinetic energy?
2. How does doubling the velocity affect the kinetic energy?
3. What would be the kinetic energy if the man were running twice as fast?
4. How can we calculate the momentum of the man?
5. What are some real-world examples of kinetic energy?

**Tip:** The kinetic energy increases with the square of the velocity, meaning a small change in speed results in a larger change in energy!

Learn how to calculate the velocity of an object using kinetic energy. This problem involves determining the speed of a man running into a wall with a given kinetic energy of 400 J and a mass of 80 kg. Suitable for high school students studying physics.

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