Final answer:
The 900-kg car traveling at 80 km/h has the most kinetic energy, calculated at 222,210 Joules, after converting all velocities to meters per second and using the kinetic energy formula.
Step-by-step explanation:
The kinetic energy (KE) of an object is calculated with the formula KE = 1/2 m v2, where m is the mass in kilograms and v is the velocity in meters per second. To compare the kinetic energies of the objects, we first need to convert their velocities to meters per second (m/s).
900-kg car: 80 km/h = 22.22 m/s
2,000-kg truck: 50 km/h = 13.89 m/s
300-kg motorcycle: 100 km/h = 27.78 m/s
1,100-kg car: 60 km/h = 16.67 m/s
Now, we calculate the kinetic energies:
900-kg car KE = 1/2 * 900 kg * (22.22 m/s)2 = 222,210 Joules
2,000-kg truck KE = 1/2 * 2000 kg * (13.89 m/s)2
= 193,210 Joules
300-kg motorcycle KE = 1/2 * 300 kg * (27.78 m/s)2
= 116,025 Joules
1,100-kg car KE = 1/2 * 1100 kg * (16.67 m/s)2
= 152,675.45 Joules
Out of the provided options, the 900-kg car traveling at 80 km/h has the most kinetic energy.