Final answer:
The specific kinetic energy of a mass moving at 33 m/s is 0.5445 kJ/kg, calculated using the formula KE = ½ v² and converting joules to kilojoules.
Step-by-step explanation:
To determine the specific kinetic energy of a mass whose velocity is 33 m/s, we use the formula for kinetic energy which is KE = ½ mv². Since the specific kinetic energy is the energy per unit mass, we do not need to know the mass of the object as it will cancel out in the calculation.
Thus, the specific kinetic energy is calculated by KE = ½ v².
The specific kinetic energy of a mass can be calculated using the formula KE = ½ mv². In this case, the mass of the object is not given, so we cannot determine its specific kinetic energy.
However, if we have the mass of the object, we can substitute it into the formula along with the given velocity to find the specific kinetic energy in J/kg. Additionally, we can convert the specific kinetic energy from J/kg to kJ/kg by dividing by 1000.
For a velocity (v) of 33 m/s, the specific kinetic energy (KE) is:
KE = ½ (33 m/s)² = ½ (1089 m²/s²) = 544.5 J/kg
To convert joules to kilojoules, we know that 1 kJ = 1000 J. Therefore, the specific kinetic energy in kilojoules per kilogram (kJ/kg) is:
KE = 544.5 J/kg ÷ 1000 = 0.5445 kJ/kg