A 6000 kg rocket is launched vertically from the ground. If the exhaust speed is 1000 m/s, how much gas must be ejected each second if the thrust is to equal the magnitude of the gravitational force on the rocket

60kg/sec

Explanation:

From the question, the mass is given as:

Mass, m = 6000kg

The formula for thrust us calculated as:

F = u × dt/dm

We then equate thrust = weight. This will be:

1000 × dt/dm =mg

1000 × dt/dm = 6000 × 10

1000 × dt/dm = 60000

dt/dm = 60,000/1,000

dt/dm = 60kg

Therefore, the gas ejected per second will be 60 kg/s