Final answer:
To launch, the rocket needs a minimum thrust greater than 59,000 N to overcome the gravitational pull of Earth (58,800 N) and the force of drag (200 N).
Step-by-step explanation:
The student is asking for the minimal amount of thrust needed for a rocket to launch off the ground on Earth. To answer this, we will calculate the force needed to overcome both gravitational force (weight) and the force of drag. First, we find the weight of the rocket by multiplying the mass (6,000 kg) by the acceleration due to gravity (9.8 m/s²), which equals 58,800 N. Then we sum this with the force of drag (200 N) to find out the total force working against the rocket's thrust. Therefore, the minimum thrust required for the rocket to lift off is the sum of its weight and drag force, which comes to 59,000 N.