Final answer:
Object 2, with a mass of 4 kilograms and lifted at a speed of 3 m/sec, has more kinetic energy (18 J) compared to object 1, which has 4 J of kinetic energy.
Step-by-step explanation:
Kinetic Energy of Two Lifted Objects
To determine which object has more kinetic energy while being lifted, we use the formula for kinetic energy (KE):
KE = ½ mv², where m is the mass of the object and v is its velocity. Calculating the kinetic energy for each object:
For object 1 (mass = 2 kg, velocity = 2 m/s):
KE1 = ½ × 2 kg × (2 m/s)² = 4 J
For object 2 (mass = 4 kg, velocity = 3 m/s):
KE2 = ½ × 4 kg × (3 m/s)² = 18 J
Comparing the two values, object 2 has a higher kinetic energy of 18 J compared to object 1's kinetic energy of 4 J. Therefore, object 2 has more kinetic energy while being lifted.
The principle behind this is straightforward: kinetic energy depends on both the mass and the square of the velocity of an object. This explains why, despite object 2's slower rate of increase in velocity, it has more kinetic energy due to its greater mass.