Final answer:
The kinetic energy of a bullet of mass 5.00 g traveling at a speed of 320 m/s is calculated using the kinetic energy formula KE = ½ mv², which results in a kinetic energy of 256 Joules.
Step-by-step explanation:
To find the kinetic energy of a bullet of mass 5.00 g traveling at a speed of 320 m/s, you can use the formula for kinetic energy:
KE = ½ mv²
Where m is the mass of the bullet, and v is its velocity. First, convert the mass from grams to kilograms by dividing by 1000:
5.00 g = 0.00500 kg
Now, plug the values into the kinetic energy formula:
KE = ½ (0.00500 kg)(320 m/s)²
KE = 0.0025 kg × 102,400 (m²/s²)
KE = 256 Joules
Therefore, the bullet has a kinetic energy of 256 Joules when traveling at 320 m/s.