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To find the kinetic energy (\(E_K\)) of the sled, we can use the formula provided:

\[
E_K = \frac{mv^2}{2}
\]

where:
- \( m = 3 \, \text{kg} \) (mass of the sled),
- \( v = 6.2 \, \text{m/s} \) (velocity of the sled).

### Step-by-Step Solution

1. Square the velocity:
   \[
   v^2 = (6.2)^2 = 38.44 \, \text{m}^2/\text{s}^2
   \]

2. Multiply by the mass:
   \[
   m \cdot v^2 = 3 \cdot 38.44 = 115.32 \, \text{kg} \cdot \text{m}^2/\text{s}^2
   \]

3. Divide by 2 to get the kinetic energy:
   \[
   E_K = \frac{115.32}{2} = 57.66 \, \text{J}
   \]

### Answer
The kinetic energy of the sled is:

\[
E_K = 57.66 \, \text{J}
\]

Would you like further explanation or have any questions about this solution?

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Here are some additional related questions:

1. What would the kinetic energy be if the sled's speed was doubled?
2. How does the kinetic energy change if the mass of the sled is increased to 5 kg?
3. What is the relationship between velocity and kinetic energy?
4. How would the kinetic energy change if the sled’s speed decreased to 3 m/s?
5. How would you calculate kinetic energy if the speed is given in km/h?

**Tip:** Remember that kinetic energy depends on the square of the velocity, so even small changes in speed can greatly affect the kinetic energy.

A 3 kg sled moves at a speed of 6.2 m/s. How much kinetic energy does the sled have?

Learn how to calculate the kinetic energy of a sled with a mass of 3 kg moving at a speed of 6.2 m/s. This problem uses the kinetic energy formula and demonstrates step-by-step calculations. Suitable for high school physics students in Grades 9-10.

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