Final answer:
The kinetic energy of a 3.0 kg ball moving at a speed of 30 m/s, using the formula KE = (1/2)mv², is calculated to be 1350 J. The provided options do not have this exact value, indicating there might be a typo in the choices.
Step-by-step explanation:
The kinetic energy (KE) of an object is determined by the formula KE = (1/2)mv², where m is the mass of the object in kilograms and v is the velocity in meters per second. For a 3.0 kg ball moving at a speed of 30 m/s, the kinetic energy can be calculated as follows:
KE = (1/2) × 3.0 kg × (30 m/s)²
KE = (1/2) × 3.0 kg × 900 m²/s²
KE = 1.5 kg × 900 m²/s²
KE = 1350 J
The closest answer to this calculation is option c) 1,400 J, although it is not exactly correct. Thus, there might be a typo in the provided options. The mathematically accurate answer would be 1350 J, which is not listed among the options.