Final answer:
The kinetic energy of a 412 kg boat moving at a speed of 12.0 m/s is calculated using the formula KE = ½mv², resulting in a kinetic energy of 29664 joules when rounded to three significant digits.
Step-by-step explanation:
The question is asking us to calculate the kinetic energy of a 412 kg boat moving at a speed of 12.0 m/s. Kinetic energy (KE) can be calculated using the formula KE = ½mv², where ‘m’ is the mass of the object and ‘v’ is the velocity.
Plugging in the values into the formula:
KE = ½ × 412 kg × (12.0 m/s)²
KE = ½ × 412 kg × 144 m²/s²
KE = ½ × 412 kg × 144 m²/s²
KE = 206 × 144 m²/s²
KE = 29664 J (to three significant digits)
Therefore, the kinetic energy of the boat is 29664 joules when rounded to three significant digits.