1. Understand the Concepts

* Kinetic Energy (KE): The energy an object possesses due to its motion. It's calculated using the formula: KE = (1/2) * m * v^2

* KE is kinetic energy (in Joules)

* m is mass (in kilograms)

* v is velocity (in meters per second)

2. Convert Units

* The bullet's mass is given in grams (60 g). Convert this to kilograms: 60 g / 1000 g/kg = 0.06 kg

3. Rearrange the Kinetic Energy Formula to Solve for Velocity

We want to find the velocity (v), so rearrange the formula:

* KE = (1/2) * m * v^2

* 2 * KE / m = v^2

* √(2 * KE / m) = v

4. Plug in the Values and Calculate

* KE = 3150 J

* m = 0.06 kg

* v = √(2 * 3150 J / 0.06 kg)

* v ≈ 324.03 m/s

Answer: The velocity of the bullet is approximately 324.03 meters per second.